Exponential Distribution
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Exponential Distribution
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Author : K. Balakrishnan
language : en
Publisher: Routledge
Release Date : 2019-01-22
Exponential Distribution written by K. Balakrishnan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.
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
Matrix Exponential Distributions In Applied Probability
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Author : Mogens Bladt
language : en
Publisher: Springer
Release Date : 2017-05-18
Matrix Exponential Distributions In Applied Probability written by Mogens Bladt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-18 with Mathematics categories.
This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas. The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data. Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.
Handbook Of Exponential And Related Distributions For Engineers And Scientists
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Author : Nabendu Pal
language : en
Publisher: CRC Press
Release Date : 2005-11-21
Handbook Of Exponential And Related Distributions For Engineers And Scientists written by Nabendu Pal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-21 with Mathematics categories.
The normal distribution is widely known and used by scientists and engineers. However, there are many cases when the normal distribution is not appropriate, due to the data being skewed. Rather than leaving you to search through journal articles, advanced theoretical monographs, or introductory texts for alternative distributions, the Handbook of E
Exponential Distribution
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Author : Mohammad Ahsanullah
language : en
Publisher:
Release Date : 2010
Exponential Distribution written by Mohammad Ahsanullah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Distribution (Probability theory) categories.
Characterization Problems Associated With The Exponential Distribution
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Author : T. A. Azlarov
language : en
Publisher: Springer
Release Date : 1986-05-09
Characterization Problems Associated With The Exponential Distribution written by T. A. Azlarov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-09 with Mathematics categories.
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.
Exponentiated Distributions
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Author : Essam K. AL-Hussaini
language : bn
Publisher: Springer
Release Date : 2015-01-06
Exponentiated Distributions written by Essam K. AL-Hussaini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-06 with Mathematics categories.
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.
Characterizations Of Probability Distributions
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Author : Janos Galambos
language : en
Publisher: Springer
Release Date : 2006-11-15
Characterizations Of Probability Distributions written by Janos Galambos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Characterization Problems Associated With The Exponential Distribution
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Author : T. A. Azlarov
language : en
Publisher: Springer
Release Date : 1986-05-23
Characterization Problems Associated With The Exponential Distribution written by T. A. Azlarov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-23 with Mathematics categories.
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.
Exponential Distribution
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Author : K. Balakrishnan
language : en
Publisher: Routledge
Release Date : 2019-01-22
Exponential Distribution written by K. Balakrishnan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.
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
Tests For The Validity Of The Assumption That The Underlying Distribution Of Life Is Exponential
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Author : Benjamin Epstein
language : en
Publisher:
Release Date : 1960
Tests For The Validity Of The Assumption That The Underlying Distribution Of Life Is Exponential written by Benjamin Epstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Electronic apparatus and appliances categories.