Statistical inferences for the extended inverse Weibull distribution under progressive type-II censored sample with applications

Abstract

This paper is concerned with making statistical inference on extended inverse Weibull (EXIW) distribution under type-II censored sample distribution. This distribution posses a lot of marvels statistical properties, such as linear representation, and many other properties among them the incomplete moment which has been provided in addition to the stress strength reliability function, and moments. To conduct a thorough study of this distribution, we estimated its parameters using both classical and non-classical techniques on both progressive censored and complete data. In order to find the best and efficient method of estimation we made a simulation study and using its results we mentioned which method is the best. We used modified algorithms to find the fitting of the data to the EXIW distribution. In the end, but certainly not least, we developed an application by making use of the EXIW distribution in order to evaluate its superiority in comparison to its competitors.

Keywords

• Weibull distribution
• Bayesian estimation
• Maximum product of spacing