References
- Barlow , R. E. , Proschan , F. ( 1975 ). Statistical Theory of Reliability and Life Testing: Probability Models . New York : Holt, Rinehart and Winston .
- Belzunce , F. , Franco , M. , Ruiz , J. M. , Ruiz , M. C. ( 2001 ). On partial orderings between coherent systems with different structures . Probab. Eng. Inform. Sci. 15 : 273 – 293 .
- Boland , P. J. , El-Neweihi , E. , Proschan , F. ( 1994 ). Applications of the hazard rate ordering in reliability and order statistics . J. Appl. Probab. 31 : 180 – 192 .
- Boland , P. J. , Hu , T. , Shaked , M. , Shanthikumar , J. G. ( 2002 ). Stochastic Ordering of Order Statistics . II. Modeling Uncertainty . Int. Ser. Oper. Res. Manage. Sci . Vol. 46 . Boston : Kluwer Academic. Publ ., pp. 607 – 623 .
- Bon , J. L. , Paltanea , E. ( 1999 ). Ordering properties of convolutions of exponential random variables . Lifetime Data Anal. 5 : 185 – 192 .
- Dykstra , R. , Kochar , S. C. , Rojo , J. ( 1997 ). Stochastic comparisons of parallel systems of heterogeneous exponential components . J. Statist. Plann. Infer. 65 : 203 – 211 .
- Khaledi , B. , Kochar , S. C. ( 2000 ). Some new results on stochastic comparisons of parallel systems . J. Appl. Probab. 37 : 1123 – 1128 .
- Khaledi , B. , Kochar , S. C. ( 2005 ). Weibull distribution: some stochastic comparisons results . To appear in J. Statist. Plann. Infer.
- Marshall , A. W. , Olkin , I. ( 1979 ). Inequalities: Theory of Majorization and Its Applications . New York : Academic Press .
- Müller , A. , Stoyan , D. ( 2002 ). Comparison Methods for Stochastic Models and Risks . Chichester : John Wiley & Sons, Ltd .
- Pledger , P. , Proschan , F. ( 1971 ). Comparisons of order statistics and of spacings from heterogeneous distributions . In: Rustagi , J. S. , ed. Optimizing Methods in Statistics . New York : Academic Press , pp. 89 – 113 .
- Proschan , F. , Sethuraman , J. (1976). Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. J. Multivariate Anal 6:608–616.
- Shaked , M. , Shanthikumar , J. G. ( 1994 ). Stochastic Orders and Their Applications . San Diego , CA: Academic Press .
- Sun , L. , Zhang , X. ( 2005 ). Stochastic comparisons of order statistics from gamma distributions . J. Multivariate Anal. 93 : 112 – 121 .