Weibull distribution: Some stochastic comparisons results

Journal of Statistical Planning and Inference

Volumn 136, Issue 9, 2006, Pages 3121-3129

  Khaledi, Baha Eldin ^a   Kochar, Subhash ^b  

^a RAZI UNIVERSITY   (Iran)

^b PORTLAND STATE UNIVERSITY   (United States)

Author keywords

Dispersive ordering; Hazard rate ordering; Majorization and p larger ordering; Proportional hazards family; Schur functions

Indexed keywords

EID: 33747502461     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.12.013     Document Type: Article

References (12)

1. Barlow R.E., and Proschan F. Statistical Theory of Reliability and Life Testing. Probability Models (1975), Holt, Rinehart and Winston, New York
2. Boland P.J., El-Neweihi E., and Proschan F. Applications of the hazard rate ordering in reliability and order statistics. J. Appl. Probab. 31 (1994) 180-192
3. Dykstra R., Kochar S.C., and Rojo J. Stochastic comparisons of parallel systems of heterogeneous exponential components. J. Statist. Plann. Inference 65 (1997) 203-211
4. Khaledi B., and Kochar S.C. Some new results on stochastic comparisons of parallel systems. J. Appl. Prob. 37 (2000) 1123-1128
5. Khaledi B., and Kochar S.C. Sample range-some stochastic comparisons results. Calcutta Statist. Assoc. Bull. 50 (2000) 283-291
6. Khaledi B., and Kochar S.C. Dispersive ordering among linear combinations of uniform random variables. J. Statist. Plann. Inference 100 (2002) 13-21
7. Marshall A.W., and Olkin I. Inequalities. Theory of Majorization and Its Applications (1979), Academic Press, New York
8. Pledger P., and Proschan F. Comparisons of order statistics and of spacings from heterogeneous distributions. In: Rustagi J.S. (Ed). Optimizing Methods in Statistics (1971), Academic Press, New York 89-113
9. Prabhakar Murthy D.N., Xie M., and Jiang R. Weibull Models (2004), Wiley, New York
10. Proschan F., and Sethuraman J. Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. J. Multivariate Anal. 6 (1976) 608-616
11. Rojo J., and He G.Z. New properties and characterizations of the dispersive ordering. Statist. Prob. Lett. 11 (1991) 365-372
12. Shaked M., and Shanthikumar J.G. Stochastic Orders and their Applications (1994), Academic Press, San Diego, CA