Characterization Problems Associated with the Exponential Distribution

Name: Characterization Problems Associated with the Exponential Distribution
Brand: Springer-Verlag New York Inc.
SKU: 9781461293743
Price: 212.57 PLN
Availability: InStock

Autor: T. A. Azlarov, N. A. Volodin

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag New York Inc.

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Problems of calculating the reliability of instruments and systems and the development of measures t...

Informacje o książce

Autor

T. A. Azlarov, N. A. Volodin

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2011

strony

137

EAN

9781461293743

ISBN

146129374X

Enbook ID

06795990

Wydawca

Springer-Verlag New York Inc.

Waga

236

Wymiary

155 x 235 x 8

Pełny opis

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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