Estimation of P(Y X) using record values from the generalized inverted exponential distribution

Amal S. Hassan,A A Marwa,Heba F. Nagy

Estimation of P(Y X) using record values from the generalized inverted exponential distribution

2018

Amal S. Hassan
A A Marwa
Heba F. Nagy

This article deals with the estimation of R=P(Yscale parameter and different shape parameters. The maximum likelihood and Bayesian estimators of R are obtained on the basis of upper record values and upper record ranked set samples. The Bayes estimator cannot be obtained in explicit form, and therefore it has been achieved using Lindley approximation. Simulation study is performed to compare the reliability estimators in each record sampling scheme with respect to mean squared error.

Keywords:

Statistics
Bayes estimator
Estimator
Ranking
Sampling (statistics)
Scale parameter
Exponential distribution
Mean squared error
Exponential function
Mathematics
Bayesian probability

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