In this paper, we study the inactive record values and carry out a stochastic comparison of these quantities from two independent samples. The results established here strengthen those of Amiripour et al. [Amiripour, F., Khaledi, B.-E.. Hu, T., Shojaei. R., 2009. Some new results on stochastic comparisons of record values, Communications in Statistics Theory and Methods (in press)]. We also describe the behavior of the IFR (DFR) class of life distributions through the stochastic monotonicity of the inactive record values. (C) 2008 Elsevier B.V. All rights reserved.
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Department of Mathematics, University of Maine, Orono,ME,04469, United StatesDepartment of Mathematics, University of Maine, Orono,ME,04469, United States
Gupta, Ramesh C.
KlRMANI, S.N.U.A.
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Department of Mathematics and Computer Science, University of Northern Iowa, Cedar Falls,IA,50614, United StatesDepartment of Mathematics, University of Maine, Orono,ME,04469, United States
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
机构:
Inst Telecom, Telecom Management SudParis, 9 Rue Charles Fourier, F-91011 Evry, FranceInst Telecom, Telecom Management SudParis, 9 Rue Charles Fourier, F-91011 Evry, France
Castel-Taleb, H.
Pekergin, N.
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Univ Paris Est Val de Marne, F-94010 Creteil, FranceInst Telecom, Telecom Management SudParis, 9 Rue Charles Fourier, F-91011 Evry, France