Equivariant Estimation of an Exponential Scale Using General Progressive Type Ii Right Censored Sample

2012 ◽  
Vol 3 (2) ◽  
pp. 212-213
Author(s):  
Leo Alexander Leo Alexander ◽  
Keyword(s):  
Type Ii ◽  
Progressive Type ◽  
Equivariant Estimation ◽  
Censored Sample

scholarly journals Estimation of the Parameters and Expected Test Time of Exponentiated Weibull Lifetimes Under Type II Progressive Censoring Scheme With Random Removals

2019 ◽  
Vol 8 (2) ◽  
pp. 124
Author(s):  
Fathy H. Eissa ◽  
Shuo-Jye Wu ◽  
Hamid H. Ahmed
Keyword(s):  
Test Time ◽  
Computational Formula ◽  
Type Ii ◽  
Sampling Plans ◽  
Progressive Type ◽  
Exponentiated Weibull Distribution ◽  
Exponentiated Weibull ◽  
Censored Sample ◽  
Censoring Scheme ◽  
Total Test Time

Based on progressive type-II censored sample with random removals, point and interval estimations for the shape parameters of the exponentiated Weibull distribution are discussed. Computational formula for the expected total test time are derived for different situations of sampling plans. This is useful in planning a life test experiment. The efficiency of the estimators are compared in terms of the root mean square error, the variance and the coverage probability of the corresponding confidence intervals. A simulation study is presented for several values of removal probability and different values of failure percentage. Also, numerical applications are conducted to illustrate and compare the usefulness of the different sampling plans in terms of expected test times for different patterns of failure rates.

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.

scholarly journals Parameter Estimation of Lindley Distribution Based on Progressive Type-II Censored Competing Risks Data with Binomial Removals

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 646 ◽  
Author(s):  
Jiaxin Nie ◽  
Wenhao Gui
Keyword(s):  
Risk Model ◽  
Likelihood Estimation ◽  
Type Ii ◽  
Unknown Parameters ◽  
Lindley Distribution ◽  
Lindley Approximation ◽  
Progressive Type ◽  
Sample Data ◽  
Competing Risks Data ◽  
Censored Sample

The competing risk model based on Lindley distribution is discussed under the progressive type-II censored sample data with binomial removals. The maximum likelihood estimation of the unknown parameters of the distribution is established. Using the Lindley approximation method, we also obtain the Bayesian estimation of the unknown parameters of the distribution under different loss functions. The performance of different estimates is studied in this article. A real practical dataset is analyzed for illustration.

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