Bayesian Estimation for Burr Distribution Type III Based on Trimmed Samples

Abstract

Trimmed samples are widely employed in several areas of statistical practice, especially when some sample values at either or both extremes might have been contaminated. The problem of estimating the parameters of Burr distribution type III based on a trimmed samples and prior information will be considered. In this paper, we study the estimation of unknown parameters based on doubly censored type II. The problem discussed using maximum likelihood method and Bayesian approach to estimate the shape parameters of Burr type III distribution. The numerical illustration requires solving nonlinear equations, therefore, MathCAD (2001) statistical package used to asses these effects numerically.

A Mixture of Inverse Weibull and Inverse Burr Distributions: Properties, Estimation, and Fitting

“…From (2) and (3), Keller et al [4] and Abd-Elfattah and Alharbey [9] have discussed some properties of the IWD and IBD, respectively. In this section, we discuss some properties of the MIWIBD by merging the corresponding conclusions of the IWD and IBD.…”

Statistical inference for Burr type III distribution on dual generalized order statistics and real data analysis

“…BurrIII(c, k) has been applied in areas of statistical modelling such as meteorology [20], reliability [21], and forestry [10]. A Bayesian procedure for Burr type III distribution based on double censoring was discussed in [1].…”

The estimation of the Burr-XII parameters with middle-censored data

“…Wang et al ( 1996 ) discussed the maximum likelihood estimation of complete and censored data. On the other hand, several authors considered the Bayesian estimation of other types of Burr distributions under complete and with different censoring schemes (see Abd-Elfattah and Alharbey 2012 ; Feroze and Aslam 2012 ).…”