Does the Type of Records Affect the Estimates of the Parameters?

Author:

Arshad Mohd.1,Azhad Qazi J.2

Affiliation:

1. Indian Institute of Technology Indore, Madhya Pradesh, India

2. Banasthali Vidyapith, Vanasthali, Rajasthan, India

Abstract

A general family of distributions, namely Kumaraswamy generalized family of (Kw-G) distribution, is considered for estimation of the unknown parameters and reliability function based on record data from Kw-G distribution. The maximum likelihood estimators (MLEs) are derived for unknown parameters and reliability function, along with its confidence intervals. A Bayesian study is carried out under symmetric and asymmetric loss functions in order to find the Bayes estimators for unknown parameters and reliability function. Future record values are predicted using Bayesian approach and non Bayesian approach, based on numerical examples and a monte carlo simulation.

Publisher

Wayne State University Library System

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

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