出版社：Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要：In the present paper, we discuss some monotone properties of the GRE of order (α, β) in order statistics under various assumptions. It is shown that monotone properties are preserved under the formation of a parallel system but not under the formation of a series system. A counter example is presented. Bounds of the GRE of order statistics are obtained. The GRE of parallel and series systems are shown to be monotone function of the number of observations of a given sample. Numerical simulation is carried out for verification of the theoretical results. Maximum likelihood estimators of GRE of X, X 1:n and X n:n are obtained when independent data are drawn from exponential distribution.
关键词：generalized residual entropy;order statistics;parallel and series systems;maximum likelihood estimator
