Parameter Estimation of Length Biased Weighted Frechet Distribution via Bayesian Approach

On Some Length-Biased Weighted Weibull Distribution

In this paper, we develop the length-biased form of the weighted Weibull distribution (WWD) named as length-biased weighted Weibull distribution (LBWWD). Well known distributions are generated by expanding suitable function of the parameters. Shape of the distribution is studied in detail. Various properties of length-biased WWD are discussed. Newby’s method along with method of moment has been...

E-Bayesian Approach in A Shrinkage Estimation of Parameter of Inverse Rayleigh Distribution under General Entropy Loss Function

‎Whenever approximate and initial information about the unknown parameter of a distribution is available, the shrinkage estimation method can be used to estimate it. In this paper, first the $ E $-Bayesian estimation of the parameter of inverse Rayleigh distribution under the general entropy loss function is obtained. Then, the shrinkage estimate of the inverse Rayleigh distribution parameter i...

Bayesian Estimation of Shift Point in Shape Parameter of Inverse Gaussian Distribution Under Different Loss Functions

In this paper, a Bayesian approach is proposed for shift point detection in an inverse Gaussian distribution. In this study, the mean parameter of inverse Gaussian distribution is assumed to be constant and shift points in shape parameter is considered. First the posterior distribution of shape parameter is obtained. Then the Bayes estimators are derived under a class of priors and using variou...

Bayesian Approach to Parameter Estimation

In many problems, before any observations from f(x|θ) are available, the experimenter or statistician will be able to summarize his previous information and knowledge about where in Θ the value of θ is likely to lie by constructing a probability distribution for θ on the set Θ. In other words, before any experimental data have been collected or observed, the experimenter’s past experience and k...

Parameter Estimation In Weighted Rayleigh Distribution