Estimating of $P(Y<X)$ in the Exponential case Based on Censored Samples

A. M. Abd-Elfattah,O. Mohamed Marwa

Estimating of $P(Y<X)$ in the Exponential case Based on Censored Samples

2008

A. M. Abd-Elfattah
O. Mohamed Marwa

In this article, the estimation of reliability of a system is discussed $p(yscale parameters when the available data are type II Censored sample. Different methods for estimating the reliability are applied. The point estimators obtained are maximum likelihood estimator, uniformly minimum variance unbiased estimator, and Bayesian estimators based on conjugate and non informative prior distributions. A comparison of the estimates obtained is performed. Interval estimators of the reliability are also discussed.

Keywords:

Point estimation
Statistics
Econometrics
Minimum-variance unbiased estimator
Bayes estimator
Efficient estimator
Estimator
Mathematics
Estimation theory
Exponential distribution
Efficiency
Exponential function

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