Bayesian Estimation of Parameters of Augmenting Gamma Strength Reliability for Symmetric and Asymmetric Loss Functions

2017 ◽  
Vol 6 (1) ◽  
pp. 17-31 ◽  
Author(s):  
N. Chandra ◽  
V. K. Rathaur ◽  
M. Pandey
Keyword(s):  
Bayesian Estimation ◽  
Loss Functions ◽  
Estimation Of Parameters ◽  
Asymmetric Loss

BAYESIAN ESTIMATION IN RANDOM CENSORSHIP MODEL FOR WEIBULL DISTRIBUTION UNDER DIFFERENT LOSS FUNCTIONS

2012 ◽  
Vol 04 (03) ◽  
pp. 1250021 ◽  
Author(s):  
MUHAMMAD YAMEEN DANISH ◽  
MUHAMMAD ASLAM
Keyword(s):  
Weibull Distribution ◽  
Bayesian Estimation ◽  
Proportional Hazards ◽  
Proportional Hazards Model ◽  
Real Data ◽  
Loss Functions ◽  
Maximum Likelihood Estimates ◽  
Model Parameters ◽  
Estimation Of Parameters ◽  
Random Censorship

This paper deals with Bayesian estimation of parameters in the proportional hazards model of random censorship for the Weibull distribution under different loss functions. We consider both the informative and noninformative priors on the model parameters to obtain the Bayes estimates using Gibbs sampling scheme. Maximum likelihood estimates are also obtained for comparison purposes. A simulation study is carried out to observe the behavior of the proposed estimators for different sample sizes and for different censoring parameters. One real data analysis is performed for illustration.

scholarly journals BAYESIAN ESTIMATION OF PARAMETERS OF INFLATED GEOMETRIC DISTRIBUTION

2020 ◽  
Vol 8 (5) ◽  
pp. 126-131
Author(s):  
Akhilesh Dubey ◽  
Arun Rao ◽  
Himanshu Pandey
Keyword(s):  
Bayesian Estimation ◽  
Geometric Distribution ◽  
Loss Functions ◽  
Bayes Estimators ◽  
Estimation Of Parameters

In this paper Bayes estimators of parameters of inflated geometric distribution have been obtained by taking joint beta prior. The loss functions used are squared, precautionary and entropy.

scholarly journals Bayesian Estimation of the Parameter of the p-Dimensional Size-Biased Rayleigh Distribution

2017 ◽  
Vol 56 (1) ◽  
pp. 88-91
Author(s):  
Arun Kumar Rao ◽  
Himanshu Pandey ◽  
Kusum Lata Singh
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Bayesian Estimation ◽  
Density Function ◽  
Rayleigh Distribution ◽  
Survival Model ◽  
Loss Functions ◽  
Bayes Estimators ◽  
Hazard Functions ◽  
Squared Error

In this paper, we have derived the probability density function of the size-biased p-dimensional Rayleigh distribution and studied its properties. Its suitability as a survival model has been discussed by obtaining its survival and hazard functions. We also discussed Bayesian estimation of the parameter of the size-biased p-dimensional Rayleigh distribution. Bayes estimators have been obtained by taking quasi-prior. The loss functions used are squared error and precautionary.

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