(1, 4) AND (2, 4) SYSTEMS BASED ON SEQUENTIAL ORDER STATISTICS FOR EQUIVARIANT PARAMETERS ESTIMATION

Abstract

Reliability theory is concerned with the study of structures /systems having components. The structure has a collection of components designed to perform a certain specific function. Systems are of various types depending on the relationship between the states of the system. One of the system we come across in reliability theory is (k,n) system. In this paper an extension of Sequential Order Statistics from (1, 3) and (2, 3) Systems is performed. The sequential (2,4) system and (1,4) system with absolutely continuous lifelength distributions were introduced. The distribution and probability density function of sequential order statistics from (2, 4) system and (1, 4) system and mean time before failure of these systems are evaluated. We also obtained minimum risk equivariant estimator for the location scale parameter taking into account the sequential (2, 4) and (1, 4) systems. Also MREE of location and scale parameter from each of the system are evaluated.