INFERENCE AND PREDICTION FOR RAYLEIGH PROGRESSIVELY CENSORED DATA

Abstract

The Rayleigh distribution is one of the oldest important distribution both on theoretical and pra.ctical grounds, especially, in the engineering, the physical anc1 the electrical 3tudies. Statistical estimation is to obtain some estim?.tes (either point or interval) for the unknown population parameters based on some given data from the same population. On The other hand, Statistical prtdiction is to obtain some estimates (either point or interval) for future "unobserved" data, rather than the population parameters, based on past (informative) data from the same population. These available data could be obtained in many ditferent types. One general and important type of such data is the so called progressively type-11 right censored data which will be explained in Chapter L The main purpose of this thesis is to obtain statistical estimation and prediction for the Rayleigh model based on progressively type-II right censored data. The thesis consists of three chapters.