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Characterizations Of Exponential Distribution By Ordered Random Variables
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Book Synopsis Characterizations of Exponential Distribution by Ordered Random Variables by : Mohammad Ahsanullah
Download or read book Characterizations of Exponential Distribution by Ordered Random Variables written by Mohammad Ahsanullah and published by Nova Science Publishers. This book was released on 2019 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.
Book Synopsis Characterizations of Probability Distributions. by : Janos Galambos
Download or read book Characterizations of Probability Distributions. written by Janos Galambos and published by Springer. This book was released on 2006-11-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Characterization Problems Associated with the Exponential Distribution by : T. A. Azlarov
Download or read book Characterization Problems Associated with the Exponential Distribution written by T. A. Azlarov and published by Springer. This book was released on 1986-05-09 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of calculating the reliability of instruments and systems and the development of measures to increase efficiency and reduce operational costs confronted physicists and mathe maticians at the end of the '40's and the beginning of the '50's in connection with the unrelia bility of electro-vacuum instruments used in aviation. Since then steadily increasing demands for the accuracy, reliability and complexity required in electronic equipment have served as a stimulus in the development of the theory of reliability. From 1950 to 1955 Epstein and Sobel [67,68] and Davis [62], in an analysis of statistical data of the operating time of an instrument up to failure, showed that the distribution is exponential in many cases. Consequently, the ex ponential distribution became basic to research associated with experiments on life expectancy. Further research has shown that there are a whole series of problems in reliability theory for which the exponential distribution is inapplicable. However, it can practically always be used as a first approximation. The ease of computational work due to the nice properties of the exponential distribution (for example, the lack of memory property, see Section 1) is also a reason for its frequent use. AB a rule, data on the behavior of the failure rate function are used to test the hypothesis that a given distribution belongs to the class of exponential distributions, and order statistics are used to estimate the parameter of the exponential distribution.
Book Synopsis Characterizations of Univariate Continuous Distributions by : Mohammad Ahsanullah
Download or read book Characterizations of Univariate Continuous Distributions written by Mohammad Ahsanullah and published by Springer. This book was released on 2017-04-18 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Ordered Random Variables: Theory and Applications by : Muhammad Qaiser Shahbaz
Download or read book Ordered Random Variables: Theory and Applications written by Muhammad Qaiser Shahbaz and published by Springer. This book was released on 2016-11-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).
Book Synopsis On a Characterization of the Exponential Distribution by Order Statistics by : M. Ahsanullah
Download or read book On a Characterization of the Exponential Distribution by Order Statistics written by M. Ahsanullah and published by . This book was released on 1975 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exponential Distribution by : K. Balakrishnan
Download or read book Exponential Distribution written by K. Balakrishnan and published by Routledge. This book was released on 2019-01-22 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon
Book Synopsis Characterization of the Exponential Distribution Using Lower Moments of Order Statistics by : Z. Govindarajulu
Download or read book Characterization of the Exponential Distribution Using Lower Moments of Order Statistics written by Z. Govindarajulu and published by . This book was released on 1974 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several characterizations of the exponential distribution in terms of the variances and the covariances of order statistics in a random sample of size n (n> or =2) are made. Analogous characterizations hold for the positive exponential distribution.
Book Synopsis Characterization Problems Associated with the Exponential Distribution by : T. A. Azlarov
Download or read book Characterization Problems Associated with the Exponential Distribution written by T. A. Azlarov and published by Springer. This book was released on 1986-05-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of calculating the reliability of instruments and systems and the development of measures to increase efficiency and reduce operational costs confronted physicists and mathe maticians at the end of the '40's and the beginning of the '50's in connection with the unrelia bility of electro-vacuum instruments used in aviation. Since then steadily increasing demands for the accuracy, reliability and complexity required in electronic equipment have served as a stimulus in the development of the theory of reliability. From 1950 to 1955 Epstein and Sobel [67,68] and Davis [62], in an analysis of statistical data of the operating time of an instrument up to failure, showed that the distribution is exponential in many cases. Consequently, the ex ponential distribution became basic to research associated with experiments on life expectancy. Further research has shown that there are a whole series of problems in reliability theory for which the exponential distribution is inapplicable. However, it can practically always be used as a first approximation. The ease of computational work due to the nice properties of the exponential distribution (for example, the lack of memory property, see Section 1) is also a reason for its frequent use. AB a rule, data on the behavior of the failure rate function are used to test the hypothesis that a given distribution belongs to the class of exponential distributions, and order statistics are used to estimate the parameter of the exponential distribution.
Book Synopsis A Concept of Generalized Order Statistics by :
Download or read book A Concept of Generalized Order Statistics written by and published by Springer-Verlag. This book was released on 2013-07-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Developments in Ordered Random Variables by : Mohammad Ahsanullah
Download or read book Recent Developments in Ordered Random Variables written by Mohammad Ahsanullah and published by Nova Publishers. This book was released on 2007 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ordered random variables play important roles in the theory and practice of statistics. They possess significant statistical properties. Over the last few decades, many articles on various topics of ordered statistical data have appeared. Our handbook comprises twenty one chapters discussing various topics on theory and applications. The editors of this book worked together several articles on order and record statistics, which covered the subjects of distributional properties, characterisations and statistical inferences. It was a special interest to co-ordinate and edit an interesting research problem based on material contributed by several prominent researchers from all over the world. This book presents new developments in the subject of ordered random variables. These aspects involve theory of ordered random variables, reliability theory, stochastic ordering, bounds, characterisations, and estimation and prediction techniques.
Book Synopsis On a characterization of the exponential distribution by properties of order statistics by : Ursula Gather
Download or read book On a characterization of the exponential distribution by properties of order statistics written by Ursula Gather and published by . This book was released on 1988 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On a Characterization of the Exponential Distribution by Properties of Order Statistics by : U. Gather
Download or read book On a Characterization of the Exponential Distribution by Properties of Order Statistics written by U. Gather and published by . This book was released on 1988 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Records via Probability Theory by : Mohammad Ahsanullah
Download or read book Records via Probability Theory written by Mohammad Ahsanullah and published by Springer. This book was released on 2015-07-27 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Characterizations of the Exponential Distribution by Failure Rate- and Moment Properties of Order Statistics by : L. Gajek
Download or read book Characterizations of the Exponential Distribution by Failure Rate- and Moment Properties of Order Statistics written by L. Gajek and published by . This book was released on 1988 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Characterizations of the exponential distribution by failure rate and moment properties of order statistics by : Leslaw Gajek
Download or read book Characterizations of the exponential distribution by failure rate and moment properties of order statistics written by Leslaw Gajek and published by . This book was released on 1988 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extreme Value Distributions by : Mohammad Ahsanullah
Download or read book Extreme Value Distributions written by Mohammad Ahsanullah and published by Springer. This book was released on 2016-09-15 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
