Estimation of parameters and reliability characteristics for a generalized Rayleigh distribution under progressive type-II censored sample

2019 ◽  
pp. 1-30 ◽  
Author(s):  
Kousik Maiti ◽  
Suchandan Kayal
Keyword(s):  
Rayleigh Distribution ◽  
Type Ii ◽  
Estimation Of Parameters ◽  
Reliability Characteristics ◽  
Progressive Type ◽  
Generalized Rayleigh Distribution ◽  
Censored Sample ◽  
Type Ii Censored Sample

scholarly journals Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Sanjay Kumar Singh ◽  
Umesh Singh ◽  
Manoj Kumar
Keyword(s):  
Maximum Likelihood ◽  
Exponential Distribution ◽  
Estimation Procedure ◽  
Model Parameters ◽  
Type Ii ◽  
Bayes Estimators ◽  
Estimation Of Parameters ◽  
Data Set ◽  
Progressive Type ◽  
Censored Sample

We obtained the maximum likelihood and Bayes estimators of the parameters of the generalized inverted exponential distribution in case of the progressive type-II censoring scheme with binomial removals. Bayesian estimation procedure has been discussed under the consideration of the square error and general entropy loss functions while the model parameters follow the gamma prior distributions. The performances of the maximum likelihood and Bayes estimators are compared in terms of their risks through the simulation study. Further, we have also derived the expression of the expected experiment time to get a progressively censored sample with binomial removals, consisting of specified number of observations from generalized inverted exponential distribution. An illustrative example based on a real data set has also been given.

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