The Distribution Properties of Two-Parameter Exponential Distribution Order Statistics

Abstract

This paper proposes the distribution function and density function of double parameter exponential distribution and discusses some important distribution properties of order statistics. We prove that random variables following the double parameter exponential type distribution X1, X2,..., Xn are not mutually independent and do not follow the same distribution, but that the Xi, Xj meet the dependency of TP2 to establish RTI ( Xi | Xj ), LTD (Xi | Xj ) and RSCI.