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.
Автор: Bladt, Mogens Nielsen, Bo Friis Название: Matrix-exponential distributions in applied probability ISBN: 149397047X ISBN-13(EAN): 9781493970476 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Charles F. Manski Название: Partial Identification of Probability Distributions ISBN: 1441918256 ISBN-13(EAN): 9781441918253 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Sample data alone never suffice to draw conclusions about populations. Inference always requires assumptions about the population and sampling process. Statistical theory has revealed much about how strength of assumptions affects the precision of point estimates, but has had much less to say about how it affects the identification of population parameters. Indeed, it has been commonplace to think of identification as a binary event - a parameter is either identified or not - and to view point identification as a pre-condition for inference. Yet there is enormous scope for fruitful inference using data and assumptions that partially identify population parameters. This book explains why and shows how. The book presents in a rigorous and thorough manner the main elements of Charles Manski's research on partial identification of probability distributions. One focus is prediction with missing outcome or covariate data. Another is decomposition of finite mixtures, with application to the analysis of contaminated sampling and ecological inference. A third major focus is the analysis of treatment response. Whatever the particular subject under study, the presentation follows a common path. The author first specifies the sampling process generating the available data and asks what may be learned about population parameters using the empirical evidence alone. He then ask how the (typically) setvalued identification regions for these parameters shrink if various assumptions are imposed. The approach to inference that runs throughout the book is deliberately conservative and thoroughly nonparametric. Conservative nonparametric analysis enables researchers to learn from the available data without imposing untenable assumptions. It enables establishment of a domain of consensus among researchers who may hold disparate beliefs about what assumptions are appropriate. Charles F. Manski is Board of Trustees Professor at Northwestern University. He is author of Identification Problems in the Social Sciences and Analog Estimation Methods in Econometrics. He is a Fellow of the American Academy of Arts and Sciences, the American Association for the Advancement of Science, and the Econometric Society.
Автор: B. Everitt Название: Finite Mixture Distributions ISBN: 9400958994 ISBN-13(EAN): 9789400958999 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Finite mixture distributions arise in a variety of applications ranging from the length distribution of fish to the content of DNA in the nuclei of liver cells. 1 Introduction This monograph is concerned with statistical distributions which can be expressed as superpositions of (usually simpler) component distributions.
Автор: Sato Название: L?vy Processes and Infinitely Divisible Distributions ISBN: 1107656494 ISBN-13(EAN): 9781107656499 Издательство: Cambridge Academ Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This successful text provides a comprehensive basic knowledge of Levy processes and serves as an introduction to stochastic processes in general. Now in paperback, this corrected edition contains a brand new supplement discussing relevant developments in the area since the book`s initial publication.
Автор: Johnson, N.L. Название: Continuous Univariate Distributions ISBN: 0471584940 ISBN-13(EAN): 9780471584940 Издательство: Wiley Рейтинг: Цена: 36424.00 р. Наличие на складе: Поставка под заказ.
Описание: This volume presents a detailed description of the statistical distributions that are commonly applied to such fields as engineering, business, economics and the behavioural, biological and environmental sciences.
Описание: These notes represent our summary of much of the recent research that has been done in recent years on approximations and bounds that have been developed for compound distributions and related quantities which are of interest in insurance and other areas of application in applied probability.
Автор: Charles Taillie; Ganapati P. Patil; Bruno A. Balde Название: Statistical Distributions in Scientific Work ISBN: 9400985517 ISBN-13(EAN): 9789400985513 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Serge Lang; Hale Trotter Название: Frobenius Distributions in GL2-Extensions ISBN: 354007550X ISBN-13(EAN): 9783540075509 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Matthias J. Fischer Название: Generalized Hyperbolic Secant Distributions ISBN: 3642451373 ISBN-13(EAN): 9783642451379 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: ГЇВїВЅ Among the symmetrical distributions with an infinite domain, the most popular alternative to the normal variant is the logistic distribution as well as the Laplace or the double exponential distribution, which was first introduced in 1774.
Автор: V. Pisarenko; M. Rodkin Название: Heavy-Tailed Distributions in Disaster Analysis ISBN: 9400732856 ISBN-13(EAN): 9789400732858 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents new approaches to seismic risk estimation and forecasting the damage caused by all types of earthquakes. It examines trends in the costs inferred by damage as related to changing social and economic situations for different regions.
Автор: Nick T. Thomopoulos Название: Statistical Distributions ISBN: 3319651110 ISBN-13(EAN): 9783319651118 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a description of the group of statistical distributions that have ample application to studies in statistics and probability.
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