On estimation of reliability in the exponential case
Applications of Mathematics, Tome 21 (1976) no. 4, pp. 263-272
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Four different estimates of reliability in the exponential case are studied namely the best unbiased, maximum likelihood, Bayes, and the so called naive. Asymptotic normality of the estimators is proved and asymptotic expansions of their expectation and the mean square error are given. Three of these estimators (best unbiased, maximum likelihood, and Bayes) are shown to be efficient and they are studied by using the defficiency concept.
Four different estimates of reliability in the exponential case are studied namely the best unbiased, maximum likelihood, Bayes, and the so called naive. Asymptotic normality of the estimators is proved and asymptotic expansions of their expectation and the mean square error are given. Three of these estimators (best unbiased, maximum likelihood, and Bayes) are shown to be efficient and they are studied by using the defficiency concept.
DOI : 10.21136/AM.1976.103646
Classification : 62E20, 62F10, 62N05
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Hurt, Jan. On estimation of reliability in the exponential case. Applications of Mathematics, Tome 21 (1976) no. 4, pp. 263-272. doi: 10.21136/AM.1976.103646

[1] Cramér H.: Mathematical methods of statistics. Princeton Univ. Press, Princeton 1946. | MR

[2] Hodges, Jr. J. L., Lehmann E. L.: Deficiency. Ann. Math. Statist. 41 (1970), 783 - 801. | DOI | MR | Zbl

[3] Hurt J.: Asymptotic expansions of functions of statistics. to appear in Apl. Mat. | MR | Zbl

[4] Pugh E. L.: The best estimate of reliability in the exponential case. Oper. Res. 11/17 (1963), 57-61. | DOI | Zbl

[5] Rao C. R.: Linear statistical inference and its applications. 2nd ed., Wiley, New York 1973. | MR | Zbl

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