Unbiased estimation for two-parameter exponential distribution under time censored sampling

• Autorzy: S. Sengupta
• Języki publikacji: EN

Abstrakty

EN

The problem considered is that of unbiased estimation for a two-parameter exponential distribution under time censored sampling. We obtain a necessary form of an unbiasedly estimable parametric function and prove that there does not exist any unbiased estimator of the parameters and the mean of the distribution. For reliability estimation at a specified time point, we give a necessary and sufficient condition for the existence of an unbiased estimator and suggest an unbiased estimator based on a sufficient statistic in situations where unbiased estimators exist. Unbiased estimation of the variance of an unbiased estimator of reliability is also addressed.

Kategorie tematyczne

• 62N01: Censored data models
• 62N05: Reliability and life testing

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 2
• Strony: 149-156

Daty

wydano

2009

Twórcy

autor

S. Sengupta

• Department of Statistics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, India

Identyfikatory

DOI

10.4064/am36-2-3