International Journal of Engineering, Science and Mathematics

  • Year: 2018
  • Volume: 7
  • Issue: 1

Estimation for ISB p-dim Rayleigh distribution under progressive type-II censored data using different loss functions

  • Author:
  • Ranjita Pandey, Neera Kumari
  • Total Page Count: 10
  • DOI:
  • Page Number: 467 to 476

Department of Statistics, University of Delhi

Abstract

In this paper, the Bayesian estimation procedures for the unknown parameter as well as the reliability function of the inverse size biased (ISB) p-dimensional (p-dim) Rayleigh distribution under progressive Type-II censoring scheme are estimated. We consider the maximum likelihood estimator (MLEs) of the unknown parameter. Further, Bayesian estimation of the unknown parameters under Lindley's Approximation (L-Approximation) method and Markov Chain Monte Carlo (MCMC) techniques are used. The Hartigan prior with squared error and general entropy loss functions are considered for Bayesian analysis. Simulation study is performed to compare the proposed estimates.

Keywords

ISB p-dim Rayleigh distribution, progressive type-II censoring scheme, L-Approximation method, MCMC techniques