| APPROXIMATING DISTRIBUTIONS IN DISCRETE DMRL AND NBUE CLASSES |
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| 作者姓名： | 程侃 马本成 |
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| 作者单位： | Institute of Applied Mathematics Academia Sinica，Beijing 100080，China，Southwest Normal University，Chongqing，630715，China |
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| 基金项目： | This project was supported by grant No.1880492 from the National Natural Science Foundation of China |
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| 摘 要： | In this paper we discuss the problem of approximating distributions in certain discretelife classes.Let X be a random variable(r.v.)taking nonnegative integers,EX=μ.Suppose Yis a geometric r.v.taking nonnegative integers and with the same mean μ.Denote B_2=(?),α=1-(B_2)/(μ~2),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)).
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APPROXIMATING DISTRIBUTIONS IN DISCRETE DMRL AND NBUE CLASSES |
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| Cheng Kan.APPROXIMATING DISTRIBUTIONS IN DISCRETE DMRL AND NBUE CLASSES[J].Journal of Systems Science and Complexity,1991(3). |
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| Authors: | Cheng Kan |
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| Abstract: | |
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| Keywords: | Approximating distributions discrete NBUE discrete DMRL |
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