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Zbl 0875.62101
Calabria, R.; Pulcini, G.
Point estimation under asymmetric loss functions for left-truncated exponential samples.
(English)
[J] Commun. Stat., Theory Methods 25, No.3, 585-600 (1996). ISSN 0361-0926; ISSN 1532-415X/e

Summary: Bayes estimates of the parameters and functions thereof in the left-truncated exponential distribution are derived. Asymmetric loss functions are used to reflect that, in most situations of interest, overestimation of a parameter does not produce the same economic consequence than underestimation. Both the non-informative prior and an informative prior on the reliability level at a prefixed time value are considered, and the statistical performances of the Bayes estimates are compared to those of the maximum likelihood ones through the risk function.
MSC 2000:
*62F10 Point estimation

Keywords: left-truncated exponential distribution; Bayes estimation; asymmetric loss functions; risk function

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