Geodesic
Unbiased estimation for two-parameter exponential distribution under time censored sampling
S. Sengupta1
1 Department of Statistics University of Calcutta 35, Ballygunge Circular Road Kolkata 700019, India
Applicationes Mathematicae, Tome 36 (2009) no. 2, pp. 149-156 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am36-2-3
Keywords: problem considered unbiased estimation two parameter exponential distribution under time censored sampling obtain necessary form unbiasedly estimable parametric function prove there does exist unbiased estimator parameters mean distribution reliability estimation specified time point necessary sufficient condition existence unbiased estimator suggest unbiased estimator based sufficient statistic situations where unbiased estimators exist unbiased estimation variance unbiased estimator reliability addressed

S. Sengupta 1

1 Department of Statistics University of Calcutta 35, Ballygunge Circular Road Kolkata 700019, India 
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S. Sengupta. Unbiased estimation for two-parameter exponential
distribution under time censored sampling. Applicationes Mathematicae, Tome 36 (2009) no. 2, pp. 149-156. doi: 10.4064/am36-2-3

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