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Characterization Problems Associated with the Exponential Distribution

Azlarov, T. A., Volodin, N. A., Olkin, I., Stein, M.

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ISBN 10: 0387963162 / ISBN 13: 9780387963167
Published by Springer-Verlag, 1986
Used Condition: Good
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137 pp., Hardcover, ex library, else text clean and binding tight. Bookseller Inventory # ZB950554

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Bibliographic Details

Title: Characterization Problems Associated with ...

Publisher: Springer-Verlag

Publication Date: 1986

Book Condition:Good

About this title


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.

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Text: English, Russian (translation)

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