Likelihood estimation for a general class of inverse exponentiated distributions based on complete and progressively censored data

Abstract

In this paper, we establish the existence and uniqueness of the maximum-likelihood estimates of the parameters of a general class of inverse exponentiated distributions based on complete as well as progressively Type-I and Type-II censored data.

Keywords:

• exponentiated exponential distribution
• exponentiated Rayleigh distribution
• Burr X distribution
• exponentiated Pareto distribution
• maximum-likelihood estimates
• progressive Type-I censoring
• progressive Type-II censoring