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APPROXIMATING DISTRIBUTIONS IN DISCRETE dmrl AND NBUE CLASSES

Systems Science and Mathematical Sciences 1991年第3期4卷 264-274页

作者：程侃马本成 Institute of Applied Mathematics Academia SinicaBeijing 100080China Southwest Normal University Chongqing630715China

In this paper we discuss the problem of approximating distributions in certain discretelife *** X be a random variable（r.v.）taking nonnegative integers,EX=μ.Suppose Yis a geometric *** nonnegative integers and with the same mean μ.Denote B2=（?）,α=1-（B2）/（μ2）,Δ（X,Y）=（?）|P（X≥k）-P（Y≥k）|.The main results are:1)If X∈（D） dmrl （discrete decreasing mean residual life）,thenΔ（X,Y）≤max(α,1-e-2α).2)If X∈（D） NBUE （discrete new better than use in expectation） thenΔ（X,Y）≤max(α,1-e-（2α）1/2.

关键词： Approximating distributions discrete NBUE discrete dmrl

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