Bayesian estimation and prediction for the inverse weibull distribution under general progressive censoring

2016 ◽  
Vol 45 (3) ◽  
pp. 621-635 ◽  
Author(s):  
Peng Xiuyun ◽  
Yan Zaizai
Keyword(s):  
Weibull Distribution ◽  
Bayesian Estimation ◽  
Progressive Censoring ◽  
Estimation And Prediction ◽  
Inverse Weibull Distribution

scholarly journals A new inverse Weibull distribution: properties, classical and Bayesian estimation with applications

2021 ◽  
Vol 48 (3) ◽  
Author(s):  
Ahmed Z. Afify ◽  
◽  
Ahmed I. Shawky ◽  
Mazen Nassar ◽  
◽  
...  
Keyword(s):  
Weibull Distribution ◽  
Bayesian Estimation ◽  
Real Data ◽  
Estimation Methods ◽  
Data Sets ◽  
Exponential Distributions ◽  
Unknown Parameters ◽  
Large Samples ◽  
Mathematical Properties ◽  
Inverse Weibull Distribution

This article proposes a new extension of the inverse Weibull distribution called, logarithmic transformed inverse Weibull distribution which can provide better fits than some of its well-known extensions. The proposed distribution contains inverse Weibull, inverse Rayleigh, inverse exponential, logarithmic transformed inverse Rayleigh and logarithmic transformed inverse exponential distributions as special sub-models. Our main focus is to derive some of its mathematical properties along with the estimation of its unknown parameters using frequentist and Bayesian estimation methods. We compare the performances of the proposed estimators using extensive numerical simulations for both small and large samples. The importance and potentiality of this distribution is analyzed via two real data sets.

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