Urn Models And Their Application
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Urn Models And Their Applications In Finance
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Author : Masato Hisakado
language : en
Publisher: Springer Nature
Release Date : 2025-06-03
Urn Models And Their Applications In Finance written by Masato Hisakado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Business & Economics categories.
This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance. The Pólya urn model is simple but has rich content and diverse applications because it includes correlations. Applications of Pólya models such as phase transitions in nonlinear Pólya models are studied here, and the relation between temporal correlation and phase transition is also discussed. In a continuous limit, the self-exciting negative binomial distribution model and Hawkes model, which has Poisson noise, can be obtained. In these models, it is possible to observe phase transition as a branching process, which is one of the absorption phase transitions. If connected urns are considered, the process can be extended to represent correlations between several urns, corresponding to complex networks among the urns and leading to consideration of how the network affects the urn processes. In this book, the method is applied to default portfolios, including correlations. In finance, correlation is an important issue in the clustering of a default, and several topics involving applications of urn models to risk assessment for default portfolios in finance are explained. Especially in default portfolios, some sectors affect many other sectors while other sectors do not; thus the origin of default contagion, a phenomenon to which urn models with networks are applied here.
Polya Urn Models
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Author : Hosam Mahmoud
language : en
Publisher: CRC Press
Release Date : 2008-06-30
Polya Urn Models written by Hosam Mahmoud and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-30 with Mathematics categories.
Incorporating a collection of recent results, Polya Urn Models deals with discrete probability through the modern and evolving urn theory and its numerous applications. It looks at how some classical problems of discrete probability have roots in urn models. The book covers the Polya-Eggenberger, Bernard Friedman's, the Bagchi-Pal, and the Ehrenfest urns. It also explains the processes of poissonization and depoissonization and presents applications to random trees, evolution, competitive exclusion, epidemiology, clinical trials, and random circuits. The text includes end-of-chapter exercises that range from easy to challenging, along with solutions in the back of the book.
Urn Models And Their Application
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Author : Norman Lloyd Johnson
language : en
Publisher: John Wiley & Sons
Release Date : 1977
Urn Models And Their Application written by Norman Lloyd Johnson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Advances In Combinatorial Methods And Applications To Probability And Statistics
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Author : N. Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Combinatorial Methods And Applications To Probability And Statistics written by N. Balakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.
Urn Models And Their Application
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Author : Norman Lloyd Johnson
language : en
Publisher:
Release Date : 1992
Urn Models And Their Application written by Norman Lloyd Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Distribution (Probability theory) categories.
Handbook Of Mixed Membership Models And Their Applications
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Author : Edoardo M. Airoldi
language : en
Publisher: CRC Press
Release Date : 2014-11-06
Handbook Of Mixed Membership Models And Their Applications written by Edoardo M. Airoldi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-06 with Computers categories.
Incorporating more than 20 years of the editors' and contributors' statistical work in mixed membership modeling, this handbook shows how to use these flexible modeling tools to uncover hidden patterns in modern high-dimensional multivariate data. It explores the use of the models in various application settings, including survey data, population genetics, text analysis, image processing and annotation, and molecular biology. Through examples using real data sets, readers will discover how to characterize complex multivariate data in a range of areas.
Finite Markov Processes And Their Applications
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Author : Marius Iosifescu
language : en
Publisher: Courier Corporation
Release Date : 2014-07-01
Finite Markov Processes And Their Applications written by Marius Iosifescu and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with Mathematics categories.
A self-contained treatment of finite Markov chains and processes, this text covers both theory and applications. Author Marius Iosifescu, vice president of the Romanian Academy and director of its Center for Mathematical Statistics, begins with a review of relevant aspects of probability theory and linear algebra. Experienced readers may start with the second chapter, a treatment of fundamental concepts of homogeneous finite Markov chain theory that offers examples of applicable models. The text advances to studies of two basic types of homogeneous finite Markov chains: absorbing and ergodic chains. A complete study of the general properties of homogeneous chains follows. Succeeding chapters examine the fundamental role of homogeneous infinite Markov chains in mathematical modeling employed in the fields of psychology and genetics; the basics of nonhomogeneous finite Markov chain theory; and a study of Markovian dependence in continuous time, which constitutes an elementary introduction to the study of continuous parameter stochastic processes.
Applications Of Statistics To Industrial Experimentation
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Author : Cuthbert Daniel
language : en
Publisher: John Wiley & Sons
Release Date : 1976-06-23
Applications Of Statistics To Industrial Experimentation written by Cuthbert Daniel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-06-23 with Mathematics categories.
Other volumes in the Wiley Series in Probability and MathematicalStatistics, Ralph A. Bradley, J. Stuart Hunter, David G. Kendall,& Geoffrey S. Watson, Advisory Editors Statistical Models inApplied Science Karl V. Bury Of direct interest to engineers andapplied scientists, this book presents general principles ofstatistics and specific distribution methods and models. Prominentdistribution properties and methods that are useful over a widerange of applications are covered in detail. The strengths andweaknesses of the distributional models are fully described, givingthe reader a firm, intuitive approach to the selection of the modelmost appropriate to the problem at hand. 1975 656 pp. FittingEquations To Data Computer Analysis of Multifactor Data forScientists and Engineers Cuthbert Daniel & Fred S. Wood Withthe assistance of John W. Gorman The purpose of this book is tohelp the serious data analyst, scientist, or engineer with acomputer to: recognize the strengths and limitations of his data;test the assumptions implicit in the least squares methods used tofit the data; select appropriate forms of the variables; judgewhich combinations of variables are most influential; and state theconditions under which the fitted equations are applicable.Throughout, mathematics is kept at the level of college algebra.1971 342 pp. Methods for Statistical Analysis of Reliability AndLife Data Nancy R. Mann, Ray E. Schafer & Nozer D. SingpurwallaThis book introduces failure models commonly used in reliabilityanalysis, and presents the most useful methods for analyzing thelife data of these models. Highlights include: material onaccelerated life testing; a comprehensive treatment of estimationand hypothesis testing; a critical survey of methods forsystem-reliability confidence bonds; and methods for simulation oflife data and for testing fit. 1974 564 pp.
Genetic Algorithms And Their Applications
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Author : John J. Grefenstette
language : en
Publisher: Psychology Press
Release Date : 2013-08-21
Genetic Algorithms And Their Applications written by John J. Grefenstette and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-21 with Psychology categories.
First Published in 1987. This is the collected proceedings of the second International Conference on Genetic Algorithms held at the Massachusetts Institute of Technology, Cambridge, MA on the 28th to the 31st July 1987. With papers on Genetic search theory, Adaptive search operators, representation issues, connectionism and parallelism, credit assignment ad learning, and applications.
Probability Models
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Author :
language : en
Publisher: Elsevier
Release Date : 2024-10-24
Probability Models written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-24 with Mathematics categories.
Probability Models, Volume 51 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on Stein's methods, Probabilities and thermodynamics third law, Random Matrix Theory, General tools for understanding fluctuations of random variables, An approximation scheme to compute the Fisher-Rao distance between multivariate normal distributions, Probability Models Applied to Reliability and Availability Engineering, Backward stochastic differential equation– Stochastic optimization theory and viscous solution of HJB equation, and much more.Additional chapters cover Probability Models in Machine Learning, The recursive stochastic algorithm, randomized urn models and response-adaptive randomization in clinical trials, Random matrix theory: local laws and applications, KOO methods and their high-dimensional consistencies in some multivariate models, Fourteen Lectures on Inference for Stochastic Processes, and A multivariate cumulative damage model and some applications. - Provides the latest information on probability models - Offers outstanding and original reviews on a range of probability models research topics - Serves as an indispensable reference for researchers and students alike