Title :
Large-sample estimation of reliability under the exponential distribution in life testing
Author :
Huynh, Cam-Loi ; Sinha, S.K. ; Xiong, Zheng Xin
Author_Institution :
Manitoba Univ., Winnipeg, Man., Canada
fDate :
6/1/1994 12:00:00 AM
Abstract :
The exact formula for the variance of the uniformly minimum variance unbiased estimator (UMVUE) of the reliability function, R(t), for exponential life is quite cumbersome. A simple expression for the asymptotic variance of the UMVUE of R(t) is found. Interval estimates of R(t) are also constructed. By comparing the approximations to the exact values in several configurations of sample size and population parameter, the derived formula is shown to be useful for sample sizes larger than 15
Keywords :
approximation theory; life testing; reliability theory; approximations; asymptotic variance; exponential distribution; exponential life; interval estimates; large sample size; life testing; population parameter; reliability estimation; reliability function; uniformly minimum variance unbiased estimator; Analysis of variance; Body sensor networks; Exponential distribution; Life estimation; Life testing; Maximum likelihood estimation; Mean square error methods; Probability; Sampling methods; Standards development;
Journal_Title :
Reliability, IEEE Transactions on
