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F. Belzunce, Taizhong Hu, Baha-Eldin Khaledi (2003)
DISPERSION-TYPE VARIABILITY ORDERSProbability in the Engineering and Informational Sciences, 17
Yasuhiro Omori, N. Johnson, S. Kotz, N. Balakrishnan (1995)
Continuous Univariate Distributions.Journal of the American Statistical Association, 90
F. Downton, R. Hogg, A. Craig (1961)
Introduction to Mathematical StatisticsThe Mathematical Gazette, 45
(1982)
Stochastic Processes
M. Kayid, I. Ahmad (2004)
ON THE MEAN INACTIVITY TIME ORDERING WITH RELIABILITY APPLICATIONSProbability in the Engineering and Informational Sciences, 18
Nimai Chandra, D. Roy (2001)
SOME RESULTS ON REVERSED HAZARD RATEProbability in the Engineering and Informational Sciences, 15
A. Nanda, Harshinder Singh, N. Misra, P. Paul (2003)
Reliability Properties of Reversed Residual LifetimeCommunications in Statistics - Theory and Methods, 32
Xiaohu Li, Maochao Xu (2006)
SOME RESULTS ABOUT MIT ORDER AND IMIT CLASS OF LIFE DISTRIBUTIONSProbability in the Engineering and Informational Sciences, 20
Taizhong Hu, J. Chen, Junchao Yao (2006)
Preservation of the location independent risk order under convolutionInsurance Mathematics & Economics, 38
E. Frostig (2006)
On risk dependence and mrl orderingStatistics & Probability Letters, 76
R. Lillo, A. Nanda, M. Shaked (2001)
Preservation of some likelihood ratio stochastic orders by order statisticsStatistics & Probability Letters, 51
I. Ahmad, M. Kayid (2005)
CHARACTERIZATIONS OF THE RHR AND MIT ORDERINGS AND THE DRHR AND IMIT CLASSES OF LIFE DISTRIBUTIONSProbability in the Engineering and Informational Sciences, 19
Xiaohu Li, R. Yam (2005)
Reversed preservation properties of some negative aging conceptions and stochastic ordersStatistical Papers, 46
I. Ahmad, M. Kayid, F. Pellerey (2005)
FURTHER RESULTS INVOLVING THE MIT ORDER AND THE IMIT CLASSProbability in the Engineering and Informational Sciences, 19
Xiaohu Li, M. Shaked (2004)
The observed total time on test and the observed excess wealthStatistics & Probability Letters, 68
M. Shaked, J. Shanthikumar (1994)
Stochastic orders and their applications
F. Belzunce, Xiaoying Gao, Taizhong Hu, F. Pellerey (2004)
Characterizations of the hazard rate order and IFR aging notionStatistics & Probability Letters, 70
P. Boland, E. El-Neweihi, F. Proschan (1994)
Applications of the hazard rate ordering in reliability and order statisticsJournal of Applied Probability, 31
Kuo-Hwa Chang (2001)
Stochastic orders of the sums of two exponential random variablesStatistics & Probability Letters, 51
A. Müller, D. Stoyan (2002)
Comparison Methods for Stochastic Models and Risks
Abstract Let the non-negative random variable X denote the life time of a unit, then the random variable X ( t ) = t – X for X ≤ t for a fixed t ∈ { x : F X ( x ) > 0}, is known as inactivity time or reversed residual life time. In this paper, we define a new non-parametric class of life distributions based on the median of the random variable X ( t ) and study its reliability properties. Some new results concerning the proposed class are given including some closure properties and characterizations. We also introduce and study a new stochastic ordering based on the median of X ( t ) and find its relationship with other well-known order relations. Finally, we provide the median inactivity time function of some well-known life time distributions.
Economic Quality Control – de Gruyter
Published: Dec 1, 2010
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