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Quasi-Stationary Distributions, Pierre Collet; Servet Mart?nez; Jaime San Mart?n


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Автор: Pierre Collet; Servet Mart?nez; Jaime San Mart?n
Название:  Quasi-Stationary Distributions
ISBN: 9783642428883
Издательство: Springer
Классификация:

ISBN-10: 3642428886
Обложка/Формат: Paperback
Страницы: 280
Вес: 0.42 кг.
Дата издания: 09.11.2014
Серия: Probability and Its Applications
Язык: English
Размер: 234 x 156 x 16
Основная тема: Mathematics
Подзаголовок: Markov Chains, Diffusions and Dynamical Systems
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present the QSDs as the ones that allow describing the long-term behavior conditioned to not being killed. Studies in this research area started with Kolmogorov and Yaglom and in the last few decades have received a great deal of attention. The authors provide the exponential distribution property of the killing time for QSDs, present the more general result on their existence and study the process of trajectories that survive forever. For birth-and-death chains and diffusions, the existence of a single or a continuum of QSDs is described. They study the convergence to the extremal QSD and give the classification of the survival process. In this monograph, the authors discuss Gibbs QSDs for symbolic systems and absolutely continuous QSDs for repellers. The findings described are relevant to researchers in the fields of Markov chains, diffusions, potential theory, dynamical systems, and in areas where extinction is a central concept. The theory is illustrated with numerous examples. The volume uniquely presents the distribution behavior of individuals who survive in a decaying population for a very long time. It also provides the background for applications in mathematical ecology, statistical physics, computer sciences, and economics.
Дополнительное описание: 1.Introduction.- 2.Quasi-stationary Distributions: General Results.- 3.Markov Chains on Finite Spaces.- 4.Markov Chains on Countable Spaces.- 5.Birth and Death Chains.- 6.Regular Diffusions on [0,?).- 7.Infinity as Entrance Boundary.- 8.Dynamical Systems.



Probability Distributions Involving Gaussian Random Variables / A Handbook for Engineers and Scientists

Автор: Simon Marvin K., Riedel Eibe
Название: Probability Distributions Involving Gaussian Random Variables / A Handbook for Engineers and Scientists
ISBN: 0387346570 ISBN-13(EAN): 9780387346571
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This handbook brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians.

Matrix-exponential distributions in applied probability

Автор: Bladt, Mogens Nielsen, Bo Friis
Название: Matrix-exponential distributions in applied probability
ISBN: 149397047X ISBN-13(EAN): 9781493970476
Издательство: Springer
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Цена: 12577.00 р.
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Описание:

This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas.

The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data.

Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.

Probability Distributions in Risk Management Operations

Автор: Constantinos Artikis; Panagiotis Artikis
Название: Probability Distributions in Risk Management Operations
ISBN: 3319142550 ISBN-13(EAN): 9783319142555
Издательство: Springer
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Цена: 23508.00 р.
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Описание: This book is about the formulations, theoretical investigations, and practical applications of new stochastic models for fundamental concepts and operations of the discipline of risk management.

Sample Path Analysis and Distributions of Boundary Crossing Times

Автор: Shelemyahu Zacks
Название: Sample Path Analysis and Distributions of Boundary Crossing Times
ISBN: 3319670581 ISBN-13(EAN): 9783319670584
Издательство: Springer
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Цена: 4890.00 р.
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Описание: This monograph is focused on the derivations of exact distributions of first boundary crossing times of Poisson processes, compound Poisson processes, and more general renewal processes.

Extreme Value Distributions

Автор: Ahsanullah
Название: Extreme Value Distributions
ISBN: 9462392218 ISBN-13(EAN): 9789462392212
Издательство: Springer
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Цена: 10760.00 р.
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Описание: The aim of the book is to give a through account of the basic theory of extreme value distributions. The book cover a wide range of materials available to date. The central ideas and results of extreme value distributions are presented. The book rwill be useful o applied statisticians as well statisticians interrested to work in the area of extremen value distributions.vmonograph presents the central ideas and results of extreme value distributions.The monograph gives self-contained of theory and applications of extreme value distributions.

Distributions

Автор: Simon
Название: Distributions
ISBN: 1786300109 ISBN-13(EAN): 9781786300102
Издательство: Wiley
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Цена: 22010.00 р.
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Описание:

This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics. It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more particularly, for constructing distributions valued in a Neumann space. The author examines partial derivatives, the construction of primitives, integration and the weighting of value functions in a Neumann space. Many of them are new generalizations of classical properties for values in a Banach space. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students - doctoral students, postgraduate students - engineers and researchers, without restricting or generalizing the results.

Statistical Distributions

Автор: Nick T. Thomopoulos
Название: Statistical Distributions
ISBN: 3319651110 ISBN-13(EAN): 9783319651118
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book gives a description of the group of statistical distributions that have ample application to studies in statistics and probability.

Normal and Student?s t Distributions and Their Applications

Автор: Mohammad Ahsanullah; B.M. Golam Kibria; Mohammad S
Название: Normal and Student?s t Distributions and Their Applications
ISBN: 9462390606 ISBN-13(EAN): 9789462390607
Издательство: Springer
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Цена: 5589.00 р.
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Описание: The most important properties of normal and Student t-distributions are presented. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented.

Characterizations of univariate continuous distributions.

Автор: Mohammad Ahsanullah
Название: Characterizations of univariate continuous distributions.
ISBN: 9462391386 ISBN-13(EAN): 9789462391383
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.


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