JDS

Journal of Data Science

1680-743X 1680-743X

SOSRUC

10-385

10.6339/JDS.201910_17(4).0010

Research Article

Adaptive Type-II Progressive Censoring Schemes based on Maximum Product Spacing with Application of Generalized Rayleigh Distribution

Almetwally

Ehab Mohamed

Institute of Statistical Studies and Research, Cairo University, Egypt Almongy

Hisham Mohamed

Faculty of Commerce -Mansoura University, Egypt ElSherpieny

ElSayed A.

Institute of Statistical Studies and Research, Cairo University, Egypt

17 4 802 831

In this paper, parameters estimation for the generalized Rayleigh (GR) distribution are discussed under the adaptive type-II progressive censoring schemes based on maximum product spacing. A comparison studies with another methods as maximum likelihood, and Bayesian estimation by use Markov chain Monte Carlo (MCMC) are discussed. Also, reliability estimation and hazard function are obtained. A numerical study using real data and Monte Carlo Simulation are performed to compare between different methods.

Keywords Generalized Rayleigh distribution Adaptive Type-II progressive censoring Maximum Product Spacing, Bayesian estimation and Reliability estimation