A note on the asymptotic distribution of the estimation of the mean past lifetime

Afshin Parvardeh ()

Statistical Papers, 2015, vol. 56, issue 1, 205-215

Abstract: A measure used in reliability and survival analysis is mean past lifetime (MPL). In this paper, we study the asymptotic strong uniform behavior and the weak convergence of estimation of MPL function. We also investigate the Hadamard differentiability of MPL at the fixed time and obtain asymptotic distribution of its estimate by using the functional delta method again. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Mean past lifetime; Mean residual lifetime; Hadamard differentiability; Nonparametric estimation; Random censoring; Primary 62N05; Secondary 62E10; 62G05 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00362-013-0575-1

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