{"product_id":"9781461293743","title":"Characterization Problems Associated with the Exponential Distribution","description":"\u003ch1\u003eCharacterization Problems Associated with the Exponential Distribution\u003c\/h1\u003e \u003ch2\u003eAzlarov, T. A.; Olkin, I.; Stein, M.; Volodin, N. A.\u003c\/h2\u003e \u003cp\u003eProblems 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-10-01\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461293743\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-4956-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 137\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":46546732056716,"sku":"9781461293743","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461293743.jpg?v=1775794435","url":"https:\/\/lateknightbooks.com\/products\/9781461293743","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}