Advances In Combinatorial Methods And Applications To Probability And Statistics

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461241409

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Advances in Combinatorial Methods and Applications to Probability and Statistics by N. Balakrishnan Pdf

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.

Author : N. Balakrishnan
Publisher : Boston : Birkhäuser
Page : 562 pages
File Size : 53,6 Mb
Release : 1997-01-01
Category : Combinatorial probabilities
ISBN : 376433908X

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Advances in Combinatorial Methods and Applications to Probability and Statistics by N. Balakrishnan Pdf

Author : International Biometric Society. Indian Region. Conference
Publisher : Allied Publishers
Page : 324 pages
File Size : 42,6 Mb
Release : 2006
Category : Bioinformatics
ISBN : 817764968X

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Statistical Advances in Biosciences and Bioinformatics by International Biometric Society. Indian Region. Conference Pdf

Papers presented at the conference, held during 23-27 Nov. 2003, at Banaras Hindu University, Varanasi.

Author : Charalambos A. Charalambides
Publisher : John Wiley & Sons
Page : 440 pages
File Size : 52,7 Mb
Release : 2005-06-24
Category : Mathematics
ISBN : 9780471733171

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Combinatorial Methods in Discrete Distributions by Charalambos A. Charalambides Pdf

A unique approach illustrating discrete distribution theory through combinatorial methods This book provides a unique approach by presenting combinatorial methods in tandem with discrete distribution theory. This method, particular to discreteness, allows readers to gain a deeper understanding of theory by using applications to solve problems. The author makes extensive use of the reduction approach to conditional distributions of independent random occupancy numbers, and provides excellent studies of occupancy and sequential occupancy distributions, convolutions of truncated discrete distributions, and compound and mixture distributions. Combinatorial Methods in Discrete Distributions begins with a brief presentation of set theory followed by basic counting principles. Fundamental principles of combinatorics, finite differences, and discrete probability are included to give readers the necessary foundation to the topics presented in the text. A thorough examination of the field is provided and features: Stirling numbers and generalized factorial coefficients Occupancy and sequential occupancy distributions n-fold convolutions of truncated distributions Compound and mixture distributions Thoroughly worked examples aid readers in understanding complex theory and discovering how theory can be applied to solve practical problems. An appendix with hints and answers to the exercises helps readers work through the more complex sections. Reference notes are provided at the end of each chapter, and an extensive bibliography offers readers a resource for additional information on specialized topics.

Author : Narayanaswamy Balakrishnan,Markos V. Koutras
Publisher : John Wiley & Sons
Page : 484 pages
File Size : 54,5 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118150450

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Runs and Scans with Applications by Narayanaswamy Balakrishnan,Markos V. Koutras Pdf

Expert practical and theoretical coverage of runs and scans This volume presents both theoretical and applied aspects of runs and scans, and illustrates their important role in reliability analysis through various applications from science and engineering. Runs and Scans with Applications presents new and exciting content in a systematic and cohesive way in a single comprehensive volume, complete with relevant approximations and explanations of some limit theorems. The authors provide detailed discussions of both classical and current problems, such as: * Sooner and later waiting time * Consecutive systems * Start-up demonstration testing in life-testing experiments * Learning and memory models * "Match" in genetic codes Runs and Scans with Applications offers broad coverage of the subject in the context of reliability and life-testing settings and serves as an authoritative reference for students and professionals alike.

Author : Michael Falk,Frank Marohn,Bernward Tewes
Publisher : Birkhäuser
Page : 405 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034881951

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Foundations of Statistical Analyses and Applications with SAS by Michael Falk,Frank Marohn,Bernward Tewes Pdf

This book links up the theory of a selection of statistical procedures used in general practice with their application to real world data sets using the statistical software package SAS (Statistical Analysis System). These applications are intended to illustrate the theory and to provide, simultaneously, the ability to use the knowledge effectively and readily in execution.

Author : Yadolah Dodge
Publisher : Birkhäuser
Page : 447 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882019

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Statistical Data Analysis Based on the L1-Norm and Related Methods by Yadolah Dodge Pdf

This volume contains a selection of invited papers, presented to the fourth International Conference on Statistical Data Analysis Based on the L1-Norm and Related Methods, held in Neuchâtel, Switzerland, from August 4–9, 2002. The contributions represent clear evidence to the importance of the development of theory, methods and applications related to the statistical data analysis based on the L1-norm.

Author : CH. A. Charalambides,M.V. Koutras,N. Balakrishnan
Publisher : CRC Press
Page : 665 pages
File Size : 49,7 Mb
Release : 2000-09-21
Category : Mathematics
ISBN : 9781420036084

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Probability and Statistical Models with Applications by CH. A. Charalambides,M.V. Koutras,N. Balakrishnan Pdf

This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probabili

Author : Mohammad Ahsanullah,Valery B. Nevzorov
Publisher : Springer
Page : 255 pages
File Size : 47,9 Mb
Release : 2015-07-27
Category : Mathematics
ISBN : 9789462391369

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Records via Probability Theory by Mohammad Ahsanullah,Valery B. Nevzorov Pdf

A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with records which play important roles in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of record values. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in record statistics, as well as for graduate students the study of our book needs the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge. An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book.

Author : Bo H Lindqvist,Kjell A Doksum
Publisher : World Scientific
Page : 568 pages
File Size : 44,5 Mb
Release : 2003-10-10
Category : Mathematics
ISBN : 9789814486262

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Mathematical and Statistical Methods in Reliability by Bo H Lindqvist,Kjell A Doksum Pdf

This book contains extended versions of 34 carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Trondheim, Norway in 2002. It provides a broad overview of current research activities in reliability theory and its applications. There are chapters on reliability modelling, network and system reliability, reliability optimization, survival analysis, degradation and maintenance modelling, and software reliability. The authors are all leading experts in the field. A particular feature of the book is a historical review by Professor Richard E Barlow, well known for his pioneering research on reliability. The list of authors also includes the plenary session speakers Odd O Aalen, Philip J Boland, Sallie A Keller-McNulty, and Nozer Singpurwalla. Contents:Reliability Theory in the Past and Present CenturiesGeneral Aspects of Reliability ModellingReliability of Networks and SystemsStochastic Modelling and Optimization in ReliabilityModelling in Survival and Reliability AnalysisStatistical Methods for Degradation DataStatistical Methods for Maintained SystemsStatistical Inference in Survival AnalysisSoftware Reliability Methods Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research. Keywords:Applied Probability;Bayesian Analysis;Maintenance Modeling;Reliability Theory;Software Reliability;Statistical Inference;Survival Analysis

Author : James C. Fu,W. Y. Wendy Lou
Publisher : World Scientific
Page : 174 pages
File Size : 45,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9789810245870

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Distribution Theory of Runs and Patterns and Its Applications by James C. Fu,W. Y. Wendy Lou Pdf

A rigorous, comprehensive introduction to the finite Markov chain imbedding technique for studying the distributions of runs and patterns from a unified and intuitive viewpoint, away from the lines of traditional combinatorics.

Author : Mohammad Ahsanullah
Publisher : Springer
Page : 125 pages
File Size : 46,6 Mb
Release : 2017-04-18
Category : Mathematics
ISBN : 9789462391390

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Characterizations of Univariate Continuous Distributions by Mohammad Ahsanullah Pdf

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.

Author : Mohammad Ahsanullah
Publisher : Springer
Page : 137 pages
File Size : 42,5 Mb
Release : 2016-09-15
Category : Mathematics
ISBN : 9789462392229

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Extreme Value Distributions by Mohammad Ahsanullah Pdf

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.

Author : Miklos Bona
Publisher : CRC Press
Page : 461 pages
File Size : 43,6 Mb
Release : 2022-05-09
Category : Computers
ISBN : 9781000563825

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Combinatorics of Permutations by Miklos Bona Pdf

A CHOICE "Outstanding Academic Title," the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, third edition continues to clearly show the usefulness of this subject for both students and researchers. The research in combinatorics of permutations has advanced rapidly since this book was published in a first edition. Now the third edition offers not only updated results, it remains the leading textbook for a course on the topic. Coverage is mostly enumerative, but there are algebraic, analytic, and topological parts as well, and applications. Since the publication of the second edition, there is tremendous progress in pattern avoidance (Chapters 4 and 5). There is also significant progress in the analytic combinatorics of permutations, which will be incorporated. •A completely new technique from extremal combinatorics disproved a long-standing conjecture, and this is presented in Chapter 4. •The area of universal permutations has undergone a lot of very recent progress, and that has been noticed outside the academic community as well. This also influenced the revision of Chapter 5. •New results in stack sorting are added to Chapter 8. •Chapter 9 applications to biology has been revised. The author’s other works include Introduction to Enumerative and Analytic Combinatorics, second edition (CHOICE "Outstanding Academic Title") and Handbook of Enumerative Combinatorics, published by CRC Press. The author also serves as Series Editor for CRC’s Discrete Mathematics and Its Applications.

Author : Micha Hofri,Hosam Mahmoud
Publisher : CRC Press
Page : 570 pages
File Size : 44,8 Mb
Release : 2018-07-16
Category : Mathematics
ISBN : 9781498750721

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Algorithmics of Nonuniformity by Micha Hofri,Hosam Mahmoud Pdf

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to get the best of both worlds and benefit from the advantage of each approach. The text examines algorithms that are designed to handle general data—sort any array, find the median of any numerical set, and identify patterns in any setting. At the same time, it evaluates "average" performance, "typical" behavior, or in mathematical terms, the expectations of the random variables that describe their operations. Many exercises are presented, which are essential since they convey additional material complementing the content of the chapters. For this reason, the solutions are more than mere answers, but explain and expand upon related concepts, and motivate further work by the reader. Highlights: A unique book that merges probability with analysis of algorithms Approaches analysis of algorithms from the angle of uniformity Non-uniformity makes more realistic models of real-life scenarios possible Results can be applied to many applications Includes many exercises of various levels of difficulty About the Authors: Micha Hofri is a Professor of Computer Science, and former department head at Worcester Polytechnic Institute. He holds a Ph.D. of Industrial Engineering (1972), all from Technion, the Israel Institute of Technology. He has 39 publications in Mathematics. Hosam Mahmoud is a Professor at, the Department of Statistics at George Washington University in Washington D.C., where he used to be the former chair. He holds an Ph.D. in Computer Science from Ohio State University. He is on the editorial board of five academic journals.