Order Statistics

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A First Course In Order Statistics

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Author : Barry C. Arnold
language : en
Publisher: SIAM
Release Date : 2008-09-25

A First Course In Order Statistics written by Barry C. Arnold and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-25 with Mathematics categories.

This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.

An Introduction To Order Statistics

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Author : Mohammad Ahsanullah
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13

An Introduction To Order Statistics written by Mohammad Ahsanullah 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 2013-03-13 with Mathematics categories.

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.

Sturdy Statistics Nonparametrics And Order Statistics

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Author : Frederick Mosteller
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1973

Sturdy Statistics Nonparametrics And Order Statistics written by Frederick Mosteller and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

Normal and non-normal data; Applications of the binomial and multinomial distributions; Ranking methods for two independent samples; Normal approximation for the mann-whitney test; Wicoxon's signed rank test; Rank correlation; Rare events: the poisson distribution; The exact chi-square distribution; Applying chi-square to counted data: basic ideas; Order statistics: distributions of probabilities, confidence limits, tolerance limits; Order statistics: point estimation; Designing your own statistical test or measure; Discrete distribution of a random variable.

Linear Functions Of Order Statistics

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Author : Stephen Mack Stigler
language : en
Publisher:
Release Date : 1967

Linear Functions Of Order Statistics written by Stephen Mack Stigler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

Fundamentals Of Order And Rank Statistics

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Author : Iickho Song
language : en
Publisher: Springer Nature
Release Date : 2024-04-24

Fundamentals Of Order And Rank Statistics written by Iickho Song and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-24 with Mathematics categories.

This book is devoted to the fundamentals of order and rank statistics. Primarily focusing on theoretical properties, it also discusses practical aspects, including interesting applications of step and impulse functions for the distribution of random variables, magnitudes, and signs. New concepts are introduced, such as independent and semi-identically distributed random vectors and probability density-mass functions. This book also presents an investigation of relative magnitudes in order statistics, and of correlation coefficients among signs, ranks, and magnitudes. The basic concepts are described in clear terms, and step-by-step details are provided for most of the presented mathematical results. The exposition is accompanied by numerous examples and more than 100 exercises, for which a complete solution manual is available. Providing a useful reference, and requiring only a basic understanding of probability and random variables, the book will appeal to a wide readership.

Relations Bounds And Approximations For Order Statistics

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Author : Barry C. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Relations Bounds And Approximations For Order Statistics written by Barry C. Arnold 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.

Bounds on moments of order statistics have been of interest since Sir Francis Galton (1902) flrst addressed the problem of fairly dividing flrst and second prize money in a competition. The present compendium of results represents our effort to sort the plethora of results into some semblance of order. We have tried to assign priority for results appropriately. We will cheerfully accept corrections. Omissions of interesting results have inevitably occurred. On this too we await (cheerful) corrections. We are grateful to Peggy Franklin (University of California), Janet Leach, Domenica Calabria and Patsy Chan (McMaster University) who shared the responsibility of typing the manuscript. The flnal form of the manuscript owes much to their skill and patience. Barry C. Arnold Riverside, California U. S. A. N. Balakrishnan Hamilton, Ontario Canada November, 1988 Table of Contents Chapter 1: TIlE DISTRIBUTION OF ORDER STATISTICS Exercises 4 Chapter 2: RECURRENCE RELATIONS AND IDENTITIES FOR ORDER STATISTICS 2. 0. Introduction 5 2. 1. Relations for single moments 6 2. 2. Relations for product moments 9 2. 3. Relations for covariances 13 15 2. 4. Results for symmetric populations 2. 5. Results for normal population 17 20 2. 6. Results for two related populations 2. 7. Results for exchangeable variates 23 25 Exercises Chapter 3: BOUNDS ON EXPECTATIONS OF ORDER STATISTICS 3. 0. Introduction 38 3. 1. Universal bounds in the Li. d. case 38 3. 2. Variations on the Samuelson-Scott theme 43 3. 3.

Order Statistics Inference

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Author : N. Balakrishnan
language : en
Publisher: Academic Press
Release Date : 1991

Order Statistics Inference written by N. Balakrishnan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

The literature on order statistics and inferenc eis quite extensive and covers a large number of fields ,but most of it is dispersed throughout numerous publications. This volume is the consolidtion of the most important results and places an emphasis on estimation. Both theoretical and computational procedures are presented to meet the needs of researchers, professionals, and students. The methods of estimation discussed are well-illustrated with numerous practical examples from both the physical and life sciences, including sociology,psychology,a nd electrical and chemical engineering. A complete, comprehensive bibliography is included so the book can be used both aas a text and reference.

Signal Processing Workshop On Higher Order Statistics June 7 9 1993 Stanford Sierra Group South Lake Tahoe Ca Usa

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Author :
language : en
Publisher:
Release Date : 1993

Signal Processing Workshop On Higher Order Statistics June 7 9 1993 Stanford Sierra Group South Lake Tahoe Ca Usa written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Order statistics categories.

Order Statistics

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Author : Mohammad Ahsanullah
language : en
Publisher: Nova Publishers
Release Date : 2005

Order Statistics written by Mohammad Ahsanullah and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

A lot of probabilists and statisticians, as well as actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists, business and sport analysts, very often deal with order statistics, which plays an important role in various fields of statistics and its applications. The authors suggest an approach to studying order statistics which proposes an active participation of our reader in the studying process. This book enables a reader to check his/her level of understanding of the theory of order statistics. It gives basic formulae (without proof), which are most important in the theory, and presents a lot of examples, which illustrate the theoretical statements.

Estimation Of Quantiles In A Simulation Model Based On Artificial Neural Networks

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Author : Sevda Alaca
language : en
Publisher: GRIN Verlag
Release Date : 2017-07-10

Estimation Of Quantiles In A Simulation Model Based On Artificial Neural Networks written by Sevda Alaca and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-10 with Mathematics categories.

Master's Thesis from the year 2017 in the subject Mathematics - Stochastics, grade: 1,3, Technical University of Darmstadt, language: English, abstract: This thesis deals with the development of an "alpha"-quantile estimate based on a surrogate model with the use of artificial neural networks. Using artificial neural networks as an estimate is considered a nonparametric approach. The estimation of a specific quantile of a data population is a widely used statistical task and a comprehensive way to discover the true relationship among variables. It can be classified as nonparametric regression, where it is one of the standard tasks. The most common selected levels for estimation are the first, second and third quartile (25, 50 and 75 percent). The quantile level is given by "alpha". A 25 percent quantile for example has 25 percent of the data distribution below the named quantile and 75 percent of the data distribution above it. Sometimes the tail regions of a population characteristic are of interest rather than the core of the distribution. Quantile estimation is applied in many different contexts - financial economics, survival analysis and environmental modelling are only a few of them.