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Author : M. Ahsanullah
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (71 download)
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:
Author : Janos Galambos
Publisher : Springer
ISBN 13 : 3540357335
Total Pages : 177 pages
Book Rating : 4.5/5 (43 download)
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:
Author : Ursula Gather
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (246 download)
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:
Author : T. A. Azlarov
Publisher : Springer
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.F/5 ( download)
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.
Author : U. Gather
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (897 download)
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:
Author : K. Balakrishnan
Publisher : Routledge
ISBN 13 : 1351449117
Total Pages : 414 pages
Book Rating : 4.3/5 (514 download)
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
Author : Mohammad Ahsanullah
Publisher :
ISBN 13 : 9781536154023
Total Pages : 0 pages
Book Rating : 4.1/5 (54 download)
Download or read book Characterizations of Exponential Distribution by Ordered Random Variables written by Mohammad Ahsanullah and published by . This book was released on 2019 with total page 0 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.
Author : T. A. Azlarov
Publisher : Springer
ISBN 13 : 9781461249566
Total Pages : 0 pages
Book Rating : 4.2/5 (495 download)
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.
Author : Barry C. Arnold
Publisher : SIAM
ISBN 13 : 0898719062
Total Pages : 292 pages
Book Rating : 4.8/5 (987 download)
Download or read book A First Course in Order Statistics written by Barry C. Arnold and published by SIAM. This book was released on 1992-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a simple style that requires no advanced mathematical or statistical background, A First Course in Order Statistics 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 characterization 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 readers may use for self-study. Audience: advanced undergraduate and graduate students in statistics and mathematics, practicing statisticians, engineers, climatologists, economists, and biologists.
Author : Z. Govindarajulu
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (227 download)
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.
Author :
Publisher : Springer-Verlag
ISBN 13 : 3663091961
Total Pages : 211 pages
Book Rating : 4.6/5 (63 download)
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:
Author : Mohammad Ahsanullah
Publisher : Springer
ISBN 13 : 9462391394
Total Pages : 130 pages
Book Rating : 4.4/5 (623 download)
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.
Author : Mohammad Ahsanullah
Publisher : Nova Publishers
ISBN 13 : 9781594540714
Total Pages : 252 pages
Book Rating : 4.5/5 (47 download)
Download or read book Order Statistics written by Mohammad Ahsanullah and published by Nova Publishers. This book was released on 2005 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. Leslie
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (897 download)
Download or read book On a Characterization of the Exponential Distribution Based on a Type 2 Right Cesored Sample written by J. Leslie and published by . This book was released on 1991 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohammad Ahsanullah
Publisher : Springer
ISBN 13 : 946239136X
Total Pages : 264 pages
Book Rating : 4.4/5 (623 download)
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.
Author : Essam K. AL-Hussaini
Publisher : Springer
ISBN 13 : 9462390797
Total Pages : 149 pages
Book Rating : 4.4/5 (623 download)
Download or read book Exponentiated Distributions written by Essam K. AL-Hussaini and published by Springer. This book was released on 2015-01-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains entirely new results, not to be found elsewhere. Furthermore, additional results scattered elsewhere in the literature are clearly presented. Several well-known distributions such as Weibull distributions, exponentiated Burr type XII distributions and exponentiated exponential distributions and their properties are demonstrated. Analysis of real as well as well-simulated data are analyzed. A number of inferences based on a finite mixture of distributions are also presented.
Author : Thomas Shelburne Ferguson
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)
Download or read book A Characterization of the Exponential Distribution written by Thomas Shelburne Ferguson and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
