scholarly journals Estimation of the shape parameter of Weibull distribution based on type II censored data using EM algorithm

2020 ◽  
Author(s):  
A. Kurniawan ◽  
N. Avicena ◽  
E. Ana
Keyword(s):  
Weibull Distribution ◽  
Em Algorithm ◽  
Censored Data ◽  
Shape Parameter ◽  
Type Ii ◽  
Type Ii Censored Data

scholarly journals Bayesian using Importance Sampling Technique of Weibull Regression with Type II Censored Data

2021 ◽  
Vol 2 (3) ◽  
pp. 10-18
Author(s):  
Mohammed Ahmed Al omari
Keyword(s):  
Importance Sampling ◽  
Censored Data ◽  
Shape Parameter ◽  
Sampling Technique ◽  
Type Ii ◽  
Jeffreys Prior ◽  
Weibull Regression ◽  
Type Ii Censored Data ◽  
The Mean ◽  
Importance Sampling Technique

Keeping in view the Bayesian approach, the study aims to develop methods through the utilization of Jeffreys prior and modified Jeffreys prior to the covariate obtained by using the Importance sampling technique. For maximum likelihood estimator, covariate parameters, and the shape parameter of Weibull regression distribution with the censored data of Type II will be estimated by the study. It is shown that the obtained estimators in closed forms are not available, but through the usage of appropriate numerical methods, they can be solved. The mean square error is the criterion of comparison. With the use of simulation, performances of these three estimates are assessed, bearing in mind different censored percentages, and various sizes of the sample.

Estimation of $$\mathbf{R} = \mathbf{P}\mathbf{[Y

2021 ◽  
Vol 42 (2) ◽  
pp. 318-335
Author(s):  
Neha Choudhary ◽  
Abhishek Tyagi ◽  
Bhupendra Singh
Keyword(s):  
Weibull Distribution ◽  
Censored Data ◽  
Type Ii ◽  
Progressive Type ◽  
Type Ii Censored Data

scholarly journals Minimum Variance Unbiased Estimation in the Gompertz Distribution under Progressive Type II Censored Data with Binomial Removals

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Ashok Shanubhogue ◽  
N. R. Jain
Keyword(s):  
Censored Data ◽  
Hazard Function ◽  
Shape Parameter ◽  
Reliability Function ◽  
Minimum Variance ◽  
Unbiased Estimation ◽  
Type Ii ◽  
Gompertz Distribution ◽  
Progressive Type ◽  
Type Ii Censored Data

This paper deals with the problem of uniformly minimum variance unbiased estimation for the parameter of the Gompertz distribution based on progressively Type II censored data with binomial removals. We have obtained the uniformly minimum variance unbiased estimator (UMVUE) for powers of the shape parameter and its functions. The UMVUE of the variance of these estimators is also given. The UMVUE of (i) pdf, (ii) cdf, (iii) reliability function, and (iv) hazard function of the Gompertz distribution is derived. Further, an exact % confidence interval for the th quantile is obtained. The UMVUE of pdf is utilized to obtain the UMVUE of . An illustrative numerical example is presented.

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