On characterizing distributions via regression of functions of generalized order statistics |
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| Authors: | M Ahsanullah MI Beg |
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| Institution: | aDepartment of Management Sciences, Rider University, Lawrenceville, NJ 08648-3099, USA;bDepartment of Mathematics and Statistics, University of Hyderabad, Hyderabad 500046, India |
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| Abstract: | Let X(1,n,m1,k),X(2,n,m2,k),…,X(n,n,m,k) be n generalized order statistics from a continuous distribution F which is strictly increasing over (a,b),−∞≤a<b≤∞, the support of F. Let g be an absolutely continuous and monotonically increasing function in (a,b) with finite g(a+),g(b−) and E(g(X)). Then for some positive integer s,1<s≤n, we give characterization of distributions by means of |
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| Keywords: | Generalized order statistics Order statistics Record values |
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