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Título : Probability Models Tipo de documento: documento electrónico Autores: Haigh, John ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Undergraduate Mathematics Series, ISSN 1615-2085 Número de páginas: XII, 287 p. 17 illus Il.: online resource ISBN/ISSN/DL: 978-1-4471-5343-6 Idioma : Inglés ( eng)Palabras clave: Mathematics Operations research Decision making Mathematical statistics Computer simulation science mathematics physics Probabilities Probability Theory and Stochastic Processes Simulation Modeling Statistics in Science Operation Research/Decision Applications the Physical Sciences Clasificación: 51 Matemáticas Resumen: The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This popular second edition textbook contains many worked examples and several chapters have been updated and expanded. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics Nota de contenido: Probability Spaces -- Conditional Probability and Independence -- Common Probability Distributions -- Random Variables -- Sums of Random Variables -- Convergence and Limit Theorems -- Stochastic Processes in Discrete Time -- Stochastic Processes in Continuous Time -- Appendix: Common Distributions and Mathematical Facts En línea: http://dx.doi.org/10.1007/978-1-4471-5343-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32204 Probability Models [documento electrónico] / Haigh, John ; SpringerLink (Online service) . - London : Springer London : Imprint: Springer, 2013 . - XII, 287 p. 17 illus : online resource. - (Springer Undergraduate Mathematics Series, ISSN 1615-2085) .ISBN: 978-1-4471-5343-6

Idioma : Inglés (eng)

Palabras clave: Mathematics Operations research Decision making Mathematical statistics Computer simulation science mathematics physics Probabilities Probability Theory and Stochastic Processes Simulation Modeling Statistics in Science Operation Research/Decision Applications the Physical Sciences Clasificación: 51 Matemáticas Resumen: The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This popular second edition textbook contains many worked examples and several chapters have been updated and expanded. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics Nota de contenido: Probability Spaces -- Conditional Probability and Independence -- Common Probability Distributions -- Random Variables -- Sums of Random Variables -- Convergence and Limit Theorems -- Stochastic Processes in Discrete Time -- Stochastic Processes in Continuous Time -- Appendix: Common Distributions and Mathematical Facts En línea: http://dx.doi.org/10.1007/978-1-4471-5343-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32204 ## Ejemplares

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Título : Probability Measures on Semigroups : Convolution Products, Random Walks and Random Matrices Tipo de documento: documento electrónico Autores: Högnäs, Göran ; SpringerLink (Online service) ; Mukherjea, Arunava Editorial: Boston, MA : Springer US Fecha de publicación: 2011 Colección: Probability and Its Applications, ISSN 1431-7028 Número de páginas: XII, 430 p Il.: online resource ISBN/ISSN/DL: 978-0-387-77548-7 Idioma : Inglés ( eng)Palabras clave: Mathematics Mathematical statistics Topological groups Lie analysis Analysis (Mathematics) Probabilities Probability Theory and Stochastic Processes Statistics in Computer Science Groups, Groups Clasificación: 51 Matemáticas Resumen: Semigroups are very general structures and scientists often come across them in various contexts in science and engineering. In this second edition of Probability Measures on Semigroups, first published in the University Series in Mathematics in 1996, the authors present the theory of weak convergence of convolution products of probability measures on semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. They examine the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. They present results on weak convergence, random walks, random matrices using semigroup ideas that for the most part are complete and best possible. Still, as the authors point out, there are other results that remain to be completed. These are all mentioned in the notes and comments at the end of each chapter, and will keep the readership of this book enthusiastic and interested for some time to come. Apart from corrections of several errors, new results have been added in the main text and in the appendices; the references, all notes and comments at the end of each chapter have been updated, and exercises have been added. This volume is suitable for a one semester course on semigroups and it could be used as a main text or supplementary material for courses focusing on probability on algebraic structures or weak convergence. It is ideally suited to graduate students in mathematics, and in other fields such as engineering and sciences with an interest in probability. Students in statistics using advance probability will also find it useful. 'A well-written book...This is elegant mathematics, motivated by examples and presented in an accessible way that engages the reader.' International Statistics Institute, December 1996 'This beautiful book...guides the reader through the most important developments...a valuable addition to the library of the probabilist, and a must for anybody interested in probability on algebraic structures.' Zentralblatt für Mathematik und ihre Grenzgebiete-Mathematical Abstracts 'This well-written volume, by two of the most successful workers in the field....deserves to become the standard introduction for beginning researchers in this field.' Journal of the Royal Statistical Society Nota de contenido: Semigroups -- Probability Measures on Topological Semigroups -- Random Walks on Semigroups -- Random Matrices -- Index En línea: http://dx.doi.org/10.1007/978-0-387-77548-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33078 Probability Measures on Semigroups : Convolution Products, Random Walks and Random Matrices [documento electrónico] / Högnäs, Göran ; SpringerLink (Online service) ; Mukherjea, Arunava . - Boston, MA : Springer US, 2011 . - XII, 430 p : online resource. - (Probability and Its Applications, ISSN 1431-7028) .ISBN: 978-0-387-77548-7

Idioma : Inglés (eng)

Palabras clave: Mathematics Mathematical statistics Topological groups Lie analysis Analysis (Mathematics) Probabilities Probability Theory and Stochastic Processes Statistics in Computer Science Groups, Groups Clasificación: 51 Matemáticas Resumen: Semigroups are very general structures and scientists often come across them in various contexts in science and engineering. In this second edition of Probability Measures on Semigroups, first published in the University Series in Mathematics in 1996, the authors present the theory of weak convergence of convolution products of probability measures on semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. They examine the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. They present results on weak convergence, random walks, random matrices using semigroup ideas that for the most part are complete and best possible. Still, as the authors point out, there are other results that remain to be completed. These are all mentioned in the notes and comments at the end of each chapter, and will keep the readership of this book enthusiastic and interested for some time to come. Apart from corrections of several errors, new results have been added in the main text and in the appendices; the references, all notes and comments at the end of each chapter have been updated, and exercises have been added. This volume is suitable for a one semester course on semigroups and it could be used as a main text or supplementary material for courses focusing on probability on algebraic structures or weak convergence. It is ideally suited to graduate students in mathematics, and in other fields such as engineering and sciences with an interest in probability. Students in statistics using advance probability will also find it useful. 'A well-written book...This is elegant mathematics, motivated by examples and presented in an accessible way that engages the reader.' International Statistics Institute, December 1996 'This beautiful book...guides the reader through the most important developments...a valuable addition to the library of the probabilist, and a must for anybody interested in probability on algebraic structures.' Zentralblatt für Mathematik und ihre Grenzgebiete-Mathematical Abstracts 'This well-written volume, by two of the most successful workers in the field....deserves to become the standard introduction for beginning researchers in this field.' Journal of the Royal Statistical Society Nota de contenido: Semigroups -- Probability Measures on Topological Semigroups -- Random Walks on Semigroups -- Random Matrices -- Index En línea: http://dx.doi.org/10.1007/978-0-387-77548-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33078 ## Ejemplares

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Título : Probability Models for DNA Sequence Evolution Tipo de documento: documento electrónico Autores: Durrett, Richard ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2008 Otro editor: Imprint: Springer Colección: Probability and Its Applications, ISSN 2297-0371 Número de páginas: XII, 431 p Il.: online resource ISBN/ISSN/DL: 978-0-387-78169-3 Idioma : Inglés ( eng)Palabras clave: Mathematics Biochemistry Evolutionary biology Probabilities Biomathematics Statistics Probability Theory and Stochastic Processes Biology Biochemistry, general for Life Sciences, Medicine, Health Sciences Mathematical Computational Genetics Population Dynamics Clasificación: 51 Matemáticas Resumen: How is genetic variability shaped by natural selection, demographic factors, and random genetic drift? To approach this question, we introduce and analyze a number of probability models beginning with the basics, and ending at the frontiers of current research. Throughout the book, the theory is developed in close connection with examples from the biology literature that illustrate the use of these results. Along the way, there are many numerical examples and graphs to illustrate the conclusions. This is the second edition and is twice the size of the first one. The material on recombination and the stepping stone model have been greatly expanded, there are many results form the last five years, and two new chapters on diffusion processes develop that viewpoint. This book is written for mathematicians and for biologists alike. No previous knowledge of concepts from biology is assumed, and only a basic knowledge of probability, including some familiarity with Markov chains and Poisson processes. The book has been restructured into a large number of subsections and written in a theorem-proof style, to more clearly highlight the main results and allow readers to find the results they need and to skip the proofs if they desire. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of eight books and 160 research papers, most of which concern the use of probability models in genetics and ecology. He is the academic father of 39 Ph.D. students and was recently elected to the National Academy of Sciences Nota de contenido: Basic Models -- Estimation and Hypothesis Testing -- Recombination -- Population Complications -- Stepping Stone Model -- Natural Selection -- Diffusion Processes -- Multidimensional Diffusions -- Genome Rearrangement En línea: http://dx.doi.org/10.1007/978-0-387-78168-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34245 Probability Models for DNA Sequence Evolution [documento electrónico] / Durrett, Richard ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2008 . - XII, 431 p : online resource. - (Probability and Its Applications, ISSN 2297-0371) .ISBN: 978-0-387-78169-3

Idioma : Inglés (eng)

Palabras clave: Mathematics Biochemistry Evolutionary biology Probabilities Biomathematics Statistics Probability Theory and Stochastic Processes Biology Biochemistry, general for Life Sciences, Medicine, Health Sciences Mathematical Computational Genetics Population Dynamics Clasificación: 51 Matemáticas Resumen: How is genetic variability shaped by natural selection, demographic factors, and random genetic drift? To approach this question, we introduce and analyze a number of probability models beginning with the basics, and ending at the frontiers of current research. Throughout the book, the theory is developed in close connection with examples from the biology literature that illustrate the use of these results. Along the way, there are many numerical examples and graphs to illustrate the conclusions. This is the second edition and is twice the size of the first one. The material on recombination and the stepping stone model have been greatly expanded, there are many results form the last five years, and two new chapters on diffusion processes develop that viewpoint. This book is written for mathematicians and for biologists alike. No previous knowledge of concepts from biology is assumed, and only a basic knowledge of probability, including some familiarity with Markov chains and Poisson processes. The book has been restructured into a large number of subsections and written in a theorem-proof style, to more clearly highlight the main results and allow readers to find the results they need and to skip the proofs if they desire. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of eight books and 160 research papers, most of which concern the use of probability models in genetics and ecology. He is the academic father of 39 Ph.D. students and was recently elected to the National Academy of Sciences Nota de contenido: Basic Models -- Estimation and Hypothesis Testing -- Recombination -- Population Complications -- Stepping Stone Model -- Natural Selection -- Diffusion Processes -- Multidimensional Diffusions -- Genome Rearrangement En línea: http://dx.doi.org/10.1007/978-0-387-78168-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34245 ## Ejemplares

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Título : Probability Theory Tipo de documento: documento electrónico Autores: Borovkov, Alexandr A ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Universitext, ISSN 0172-5939 Número de páginas: XXVIII, 733 p. 22 illus Il.: online resource ISBN/ISSN/DL: 978-1-4471-5201-9 Idioma : Inglés ( eng)Palabras clave: Mathematics Probabilities Probability Theory and Stochastic Processes Clasificación: 51 Matemáticas Resumen: Probability theory is an actively developing branch of mathematics. It has applications in many areas of science and technology and forms the basis of mathematical statistics. This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent. The importance of the Russian school in the development of probability theory has long been recognized. This book is the translation of the fifth edition of the highly successful and esteemed Russian textbook. This edition includes a number of new sections, such as a new chapter on large deviation theory for random walks, which are of both theoretical and applied interest. The frequent references to Russian literature throughout this work lend a fresh dimension and makes it an invaluable source of reference for Western researchers and advanced students in probability related subjects. Probability Theory will be of interest to both advanced undergraduate and graduate students studying probability theory and its applications. It can serve as a basis for several one-semester courses on probability theory and random processes as well as self-study. About the Author Professor Alexandr Borovkov lives and works in the Novosibirsk Academy Town in Russia and is affiliated with both the Sobolev Institute of Mathematics of the Russian Academy of Sciences and the Novosibirsk State University. He is one of the most prominent Russian specialists in probability theory and mathematical statistics. Alexandr Borovkov authored and co-authored more than 200 research papers and ten research monographs and advanced level university textbooks. His contributions to mathematics and its applications are widely recognized, which included election to the Russian Academy of Sciences and several prestigious awards for his research and textbooks Nota de contenido: Discrete Spaces of Elementary Events -- An Arbitrary Space of Elementary Events -- Random Variables and Distribution Functions -- Numerical Characteristics of Random Variables -- Sequences of Independent Trials with Two Outcomes -- On Convergence of Random Variables and Distributions -- Characteristic Functions -- Sequences of Independent Random Variables. Limit Theorems -- Large Deviation Probabilities for Sums of Independent Random Variables -- Renewal Processes -- Properties of the Trajectories of Random Walks. Zero-One Laws -- Random Walks and Factorisation Identities -- Sequences of Dependent Trials. Markov Chains -- Information and Entropy -- Martingales -- Stationary Sequences -- Stochastic Recursive Sequences -- Continuous Time Random Processes -- Processes with Independent Increments -- Functional Limit Theorems -- Markov Processes -- Processes with Finite Second Moments. Gaussian Processes -- Appendices En línea: http://dx.doi.org/10.1007/978-1-4471-5201-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32202 Probability Theory [documento electrónico] / Borovkov, Alexandr A ; SpringerLink (Online service) . - London : Springer London : Imprint: Springer, 2013 . - XXVIII, 733 p. 22 illus : online resource. - (Universitext, ISSN 0172-5939) .ISBN: 978-1-4471-5201-9

Idioma : Inglés (eng)

Palabras clave: Mathematics Probabilities Probability Theory and Stochastic Processes Clasificación: 51 Matemáticas Resumen: Probability theory is an actively developing branch of mathematics. It has applications in many areas of science and technology and forms the basis of mathematical statistics. This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent. The importance of the Russian school in the development of probability theory has long been recognized. This book is the translation of the fifth edition of the highly successful and esteemed Russian textbook. This edition includes a number of new sections, such as a new chapter on large deviation theory for random walks, which are of both theoretical and applied interest. The frequent references to Russian literature throughout this work lend a fresh dimension and makes it an invaluable source of reference for Western researchers and advanced students in probability related subjects. Probability Theory will be of interest to both advanced undergraduate and graduate students studying probability theory and its applications. It can serve as a basis for several one-semester courses on probability theory and random processes as well as self-study. About the Author Professor Alexandr Borovkov lives and works in the Novosibirsk Academy Town in Russia and is affiliated with both the Sobolev Institute of Mathematics of the Russian Academy of Sciences and the Novosibirsk State University. He is one of the most prominent Russian specialists in probability theory and mathematical statistics. Alexandr Borovkov authored and co-authored more than 200 research papers and ten research monographs and advanced level university textbooks. His contributions to mathematics and its applications are widely recognized, which included election to the Russian Academy of Sciences and several prestigious awards for his research and textbooks Nota de contenido: Discrete Spaces of Elementary Events -- An Arbitrary Space of Elementary Events -- Random Variables and Distribution Functions -- Numerical Characteristics of Random Variables -- Sequences of Independent Trials with Two Outcomes -- On Convergence of Random Variables and Distributions -- Characteristic Functions -- Sequences of Independent Random Variables. Limit Theorems -- Large Deviation Probabilities for Sums of Independent Random Variables -- Renewal Processes -- Properties of the Trajectories of Random Walks. Zero-One Laws -- Random Walks and Factorisation Identities -- Sequences of Dependent Trials. Markov Chains -- Information and Entropy -- Martingales -- Stationary Sequences -- Stochastic Recursive Sequences -- Continuous Time Random Processes -- Processes with Independent Increments -- Functional Limit Theorems -- Markov Processes -- Processes with Finite Second Moments. Gaussian Processes -- Appendices En línea: http://dx.doi.org/10.1007/978-1-4471-5201-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32202 ## Ejemplares

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Título : Probability Theory with Applications Tipo de documento: documento electrónico Autores: Rao, M. M ; SpringerLink (Online service) ; Swift, R. J Editorial: Boston, MA : Springer US Fecha de publicación: 2006 Colección: Mathematics and Its Applications num. 582 Número de páginas: XVIII, 530 p Il.: online resource ISBN/ISSN/DL: 978-0-387-27731-8 Idioma : Inglés ( eng)Palabras clave: Mathematics Fourier analysis Measure theory Functions of real variables Information Probabilities Probability Theory and Stochastic Processes Real Analysis Integration Communication, Circuits Clasificación: 51 Matemáticas Resumen: Probability Theory and Applications is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including some important applications. This new edition contains a detailed treatment of the core area of probability, and both structural and limit results are presented in full detail. Compared to the first edition, the material and presentation are better highlighted with several (small and large) alterations made to each chapter. Key features of the book include: • indicating the need for abstract theory even in applications and showing the inadequacy of existing results for certain apparently simple real-world problems; • attempting to deal with the existence problems for various classes of random families that figure in the main results of the subject; • providing a treatment of conditional expectations and of conditional probabilities that is more complete than in other existing textbooks. Since this is a textbook, essentially all proofs are given in complete detail (even at the risk of repetition), and some key results are given multiple proofs when each argument has something to contribute. Audience This book is intended for graduate students and researchers interested in probability theory Nota de contenido: Foundations -- Background Material and Preliminaries -- Independence and Strong Convergence -- Conditioning and Some Dependence Classes -- Analytical Theory -- Probability Distributions and Characteristic Functions -- Weak Limit Laws -- Applications -- Stopping Times, Martingales, and Convergence -- Limit Laws for Some Dependent Sequences -- A Glimpse of Stochastic Processes En línea: http://dx.doi.org/10.1007/0-387-27731-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34743 Probability Theory with Applications [documento electrónico] / Rao, M. M ; SpringerLink (Online service) ; Swift, R. J . - Boston, MA : Springer US, 2006 . - XVIII, 530 p : online resource. - (Mathematics and Its Applications; 582) .ISBN: 978-0-387-27731-8

Idioma : Inglés (eng)

Palabras clave: Mathematics Fourier analysis Measure theory Functions of real variables Information Probabilities Probability Theory and Stochastic Processes Real Analysis Integration Communication, Circuits Clasificación: 51 Matemáticas Resumen: Probability Theory and Applications is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including some important applications. This new edition contains a detailed treatment of the core area of probability, and both structural and limit results are presented in full detail. Compared to the first edition, the material and presentation are better highlighted with several (small and large) alterations made to each chapter. Key features of the book include: • indicating the need for abstract theory even in applications and showing the inadequacy of existing results for certain apparently simple real-world problems; • attempting to deal with the existence problems for various classes of random families that figure in the main results of the subject; • providing a treatment of conditional expectations and of conditional probabilities that is more complete than in other existing textbooks. Since this is a textbook, essentially all proofs are given in complete detail (even at the risk of repetition), and some key results are given multiple proofs when each argument has something to contribute. Audience This book is intended for graduate students and researchers interested in probability theory Nota de contenido: Foundations -- Background Material and Preliminaries -- Independence and Strong Convergence -- Conditioning and Some Dependence Classes -- Analytical Theory -- Probability Distributions and Characteristic Functions -- Weak Limit Laws -- Applications -- Stopping Times, Martingales, and Convergence -- Limit Laws for Some Dependent Sequences -- A Glimpse of Stochastic Processes En línea: http://dx.doi.org/10.1007/0-387-27731-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34743 ## Ejemplares

Signatura Medio Ubicación Sección Estado ningún ejemplar Probability and Partial Differential Equations in Modern Applied Mathematics / SpringerLink (Online service) ; Waymire, Edward C ; Duan, Jinqiao (2005)

PermalinkPermalinkPermalinkPermalinkProbability Approximations and Beyond / SpringerLink (Online service) ; Andrew Barbour ; Chan, Hock Peng ; Siegmund, David (2012)

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