Records Via Probability Theory

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Records via Probability Theory

Mohammad Ahsanullah,Valery B. Nevzorov
Records via Probability Theory Book PDF

Author : Mohammad Ahsanullah,Valery B. Nevzorov
Publisher : Springer
Page : 255 pages
File Size : 54,8 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.

Records

Barry C. Arnold,Narayanaswamy Balakrishnan,Haikady N. Nagaraja
Records Book PDF

Author : Barry C. Arnold,Narayanaswamy Balakrishnan,Haikady N. Nagaraja
Publisher : John Wiley & Sons
Page : 342 pages
File Size : 44,7 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118150405

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Records by Barry C. Arnold,Narayanaswamy Balakrishnan,Haikady N. Nagaraja Pdf

The first and only comprehensive guide to modern record theory andits applications Although it is often thought of as a special topic in orderstatistics, records form a unique area, independent of the study ofsample extremes. Interest in records has increased steadily overthe years since Chandler formulated the theory of records in 1952.Numerous applications of them have been developed in such far-flungfields as meteorology, sports analysis, hydrology, and stock marketanalysis, to name just a few. And the literature on the subjectcurrently comprises papers and journal articles numbering in thehundreds. Which is why it is so nice to have this book devotedexclusively to this lively area of statistics. Written by an exceptionally well-qualified author team, Recordspresents a comprehensive treatment of record theory and itsapplications in a variety of disciplines. With the help of amultitude of fascinating examples, Professors Arnold, Balakrishnan,and Nagaraja help readers quickly master basic and advanced recordvalue concepts and procedures, from the classical record valuemodel to random and multivariate record models. The book follows arational textbook format, featuring witty and insightful chapterintroductions that help smooth transitions from one topic toanother and challenging chapter-end exercises, which expand on thematerial covered. An extensive bibliography and numerous referencesthroughout the text specify sources for further readings onrelevant topics. Records is a valuable professional resource forprobabilists and statisticians, in addition to appliedstatisticians, meteorologists, hydrologists, market analysts, andsports analysts. It also makes an excellent primary text forcourses in record theory and a supplement to order statisticscourses.

Record Values--theory and Applications

Mohammad Ahsanullah
Record Values theory and Applications Book PDF

Author : Mohammad Ahsanullah
Publisher : University Press of America
Page : 326 pages
File Size : 54,7 Mb
Release : 2004
Category : Business & Economics
ISBN : 0761827943

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Record Values--theory and Applications by Mohammad Ahsanullah Pdf

In this book, Mohammad Ahsanullah provides a detailed description of the general theory and applications of record values. Professor Ahsanullah thoroughly discusses the most useful distributions and inferences based on record values, resulting in conclusions that are not available in previously published works.

Asymptotic Methods in Probability and Statistics with Applications

N. Balakrishnan,I.A.V.B. Ibragimov,V.B. Nevzorov
Asymptotic Methods in Probability and Statistics with Applications Book PDF

Author : N. Balakrishnan,I.A.V.B. Ibragimov,V.B. Nevzorov
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 42,9 Mb
Release : 2001-06-21
Category : Business & Economics
ISBN : 0817642145

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Asymptotic Methods in Probability and Statistics with Applications by N. Balakrishnan,I.A.V.B. Ibragimov,V.B. Nevzorov Pdf

Traditions of the 150-year-old St. Petersburg School of Probability and Statis tics had been developed by many prominent scientists including P. L. Cheby chev, A. M. Lyapunov, A. A. Markov, S. N. Bernstein, and Yu. V. Linnik. In 1948, the Chair of Probability and Statistics was established at the Department of Mathematics and Mechanics of the St. Petersburg State University with Yu. V. Linik being its founder and also the first Chair. Nowadays, alumni of this Chair are spread around Russia, Lithuania, France, Germany, Sweden, China, the United States, and Canada. The fiftieth anniversary of this Chair was celebrated by an International Conference, which was held in St. Petersburg from June 24-28, 1998. More than 125 probabilists and statisticians from 18 countries (Azerbaijan, Canada, Finland, France, Germany, Hungary, Israel, Italy, Lithuania, The Netherlands, Norway, Poland, Russia, Taiwan, Turkey, Ukraine, Uzbekistan, and the United States) participated in this International Conference in order to discuss the current state and perspectives of Probability and Mathematical Statistics. The conference was organized jointly by St. Petersburg State University, St. Petersburg branch of Mathematical Institute, and the Euler Institute, and was partially sponsored by the Russian Foundation of Basic Researches. The main theme of the Conference was chosen in the tradition of the St.

Trends in Mathematical, Information and Data Sciences

Narayanaswamy Balakrishnan,María Ángeles Gil,Nirian Martín,Domingo Morales,María del Carmen Pardo
Trends in Mathematical Information and Data Sciences Book PDF

Author : Narayanaswamy Balakrishnan,María Ángeles Gil,Nirian Martín,Domingo Morales,María del Carmen Pardo
Publisher : Springer Nature
Page : 450 pages
File Size : 49,6 Mb
Release : 2022-06-27
Category : Technology & Engineering
ISBN : 9783031041372

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Trends in Mathematical, Information and Data Sciences by Narayanaswamy Balakrishnan,María Ángeles Gil,Nirian Martín,Domingo Morales,María del Carmen Pardo Pdf

This book involves ideas/results from the topics of mathematical, information, and data sciences, in connection with the main research interests of Professor Pardo that can be summarized as Information Theory with Applications to Statistical Inference. This book is a tribute to Professor Leandro Pardo, who has chaired the Department of Statistics and OR of the Complutense University in Madrid, and he has been also President of the Spanish Society of Statistics and Operations Research. In this way, the contributions have been structured into three parts, which often overlap to a greater or lesser extent, namely Trends in Mathematical Sciences (Part I) Trends in Information Sciences (Part II) Trends in Data Sciences (Part III) The contributions gathered in this book have offered either new developments from a theoretical and/or computational and/or applied point of view, or reviews of recent literature of outstanding developments. They have been applied through nice examples in climatology, chemistry, economics, engineering, geology, health sciences, physics, pandemics, and socioeconomic indicators. Consequently, the intended audience of this book is mainly statisticians, mathematicians, computer scientists, and so on, but users of these disciplines as well as experts in the involved applications may certainly find this book a very interesting read.

Statistics of Extremes and Records in Random Sequences

PROF SATYA N.. SCHEHR MAJUMDAR (PROF GREGORY.),Satya N. Majumdar,Grégory Schehr
Statistics of Extremes and Records in Random Sequences Book PDF

Author : PROF SATYA N.. SCHEHR MAJUMDAR (PROF GREGORY.),Satya N. Majumdar,Grégory Schehr
Publisher : Oxford University Press
Page : 257 pages
File Size : 52,6 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 9780198797333

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Statistics of Extremes and Records in Random Sequences by PROF SATYA N.. SCHEHR MAJUMDAR (PROF GREGORY.),Satya N. Majumdar,Grégory Schehr Pdf

Rare events such as earthquakes, tsunamis, and floods fortunately do not occur every day, but when they do, their effects are devastating. Such rare events are particularly important in understanding and characterizing global warming and climate changes. In addition to natural catastrophes, rare events such as big financial crashes also play a significant role in the economy. In the absence of predictive models, the best way forward is to analyse the statistics of these extreme events and draw conclusions about the probability of their occurrences.Extreme value statistics (EVS) and the statistics of records in a random sequence are examples of a truly interdisciplinary topic, spanning from statistics and mathematics on one side to physics of disordered systems on the other. They have tremendous importance and practical applications in a wide variety of fields, such as climate science, finance, spin-glasses, and random matrices.Statistics and mathematical literature have explored the subject of the classical theory of EVS. However, more recently, EVS started to play a very important role in statistical physics, in particular in disordered systems. This has led to a plethora of activities, both in the statistical physics and in the mathematics communities over the last few decades. This book develops the theory of rare events, both for the classical uncorrelated as well as for correlated sequences, in terms of simple models and examples. Statistics of Extremes and Records in Random Sequences is a pedagogical book with examples illustrating the basic tools and techniques that are essential to a student starting to work in this interesting and rapidly developing field.

Characterizations of Univariate Continuous Distributions

Mohammad Ahsanullah
Characterizations of Univariate Continuous Distributions Book PDF

Author : Mohammad Ahsanullah
Publisher : Springer
Page : 125 pages
File Size : 43,8 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.

Parametric and Nonparametric Inference from Record-Breaking Data

Sneh Gulati,William J. Padgett
Parametric and Nonparametric Inference from Record Breaking Data Book PDF

Author : Sneh Gulati,William J. Padgett
Publisher : Springer Science & Business Media
Page : 123 pages
File Size : 41,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9780387215495

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Parametric and Nonparametric Inference from Record-Breaking Data by Sneh Gulati,William J. Padgett Pdf

By providing a comprehensive look at statistical inference from record-breaking data in both parametric and nonparametric settings, this book treats the area of nonparametric function estimation from such data in detail. Its main purpose is to fill this void on general inference from record values. Statisticians, mathematicians, and engineers will find the book useful as a research reference. It can also serve as part of a graduate-level statistics or mathematics course.

Stochastic Processes: Theory and Methods

D N Shanbhag,Calyampudi Radhakrishna Rao
Stochastic Processes Theory and Methods Book PDF

Author : D N Shanbhag,Calyampudi Radhakrishna Rao
Publisher : Gulf Professional Publishing
Page : 990 pages
File Size : 51,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0444500146

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Stochastic Processes: Theory and Methods by D N Shanbhag,Calyampudi Radhakrishna Rao Pdf

This volume in the series contains chapters on areas such as pareto processes, branching processes, inference in stochastic processes, Poisson approximation, Levy processes, and iterated random maps and some classes of Markov processes. Other chapters cover random walk and fluctuation theory, a semigroup representation and asymptomatic behavior of certain statistics of the Fisher-Wright-Moran coalescent, continuous-time ARMA processes, record sequence and their applications, stochastic networks with product form equilibrium, and stochastic processes in insurance and finance. Other subjects include renewal theory, stochastic processes in reliability, supports of stochastic processes of multiplicity one, Markov chains, diffusion processes, and Ito's stochastic calculus and its applications. c. Book News Inc.

Advances in the Theory and Practice of Statistics

Samuel Kotz
Advances in the Theory and Practice of Statistics Book PDF

Author : Samuel Kotz
Publisher : John Wiley & Sons
Page : 690 pages
File Size : 53,7 Mb
Release : 1997-04-11
Category : Mathematics
ISBN : 0471155748

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Advances in the Theory and Practice of Statistics by Samuel Kotz Pdf

In honor of Samuel Kotz, an international collection of articles on the latest advances in statistics. This tribute to Samuel Kotz features articles by eminent statisticians from around the world, all recognizing the lifetime of accomplishments of one of the premier statisticians of our time. Centered on distributions, models, and their applications, this book highlights some recent developments in both theory and applications of statistics. Editors Norman L. Johnson and N. Balakrishnan, both of whom have collaborated extensively with Samuel Kotz, have gathered contributions from theoreticians and practitioners in 18 countries, giving the volume a global perspective. Each article is classified into one of 10 areas in the theory and practice of statistics. The areas highlighted in this volume are: Statistics in the world. Models. Biostatistics. Testing and estimation. Univariate distributions. Multivariate distributions. Characterizations. Probability. Bayes theory. Descriptive statistics. Many of the articles in the volume highlight Samuel Kotz's pioneering and fundamental contributions to these areas. Commemorative articles by those who knew and worked with Samuel Kotz, as well as the detailed exploration of classical and new directions in statistical research, make this volume an essential addition to any statistics library.

Advances in Combinatorial Methods and Applications to Probability and Statistics

N. Balakrishnan
Advances in Combinatorial Methods and Applications to Probability and Statistics Book PDF

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 54,7 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.

Probability

Rick Durrett
Probability Book PDF

Author : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 47,7 Mb
Release : 2010-08-30
Category : Mathematics
ISBN : 9781139491136

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Probability by Rick Durrett Pdf

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Extreme Value Distributions

Mohammad Ahsanullah
Extreme Value Distributions Book PDF

Author : Mohammad Ahsanullah
Publisher : Springer
Page : 137 pages
File Size : 44,8 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.

Introduction to Probability

Charles Miller Grinstead,James Laurie Snell
Introduction to Probability Book PDF

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 50,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0821807498

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Introduction to Probability by Charles Miller Grinstead,James Laurie Snell Pdf

This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.

An Introduction to Order Statistics

Mohammad Ahsanullah,Valery B Nevzorov,Mohammad Shakil
An Introduction to Order Statistics Book PDF

Author : Mohammad Ahsanullah,Valery B Nevzorov,Mohammad Shakil
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 45,7 Mb
Release : 2013-03-13
Category : Mathematics
ISBN : 9789491216831

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An Introduction to Order Statistics by Mohammad Ahsanullah,Valery B Nevzorov,Mohammad Shakil Pdf

This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more.