A note on the ℒ-class of life distributions

Journal of Applied Probability

Volumn 39, Issue 1, 2002, Pages 11-19

  Klar, Bernhard ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

class; Laplace order; Life distribution; Reliability bounds; s (increasing) concave order; s (increasing) convex order

Indexed keywords

EID: 0035998641     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1019737984     Document Type: Article

References (23)

1. Laplace ordering and its applications
2. On the coefficient of variation of the ℒ- and ℒ̄ -classes
3. Fatigue failure models - Birnbaum-Saunders vs. inverse Gaussian
4. A lower bound on the L-class of life distributions and its applications
5. The s-convex orders among real random variables, with applications
6. Continua of stochastic dominance relations for unbounded probability distributions
7. Stochastic dominance and moments of distributions
8. Testing exponentiality against the L-class of life distributions
9. Ordering claim size distributions and mixed Poisson probabilities
10. Generalized convex inequalities
11. The HNBUE and HNWUE classes of life distributions
12. A useful ageing property based on the Laplace transform
13. On exponential scores statistic for testing against positive aging
14. Characterizations of the ℒ-class of life distributions
15. On weak convergence within the ℒ-like classes of life distributions
16. A note on the ℒ-class of life distributions
17. Characterizing the exponential law under Laplace order domination
18. On maximal sets of functions compatible with a partial ordering for distribution functions
19. Mean residual life
20. Order relations in the set of probability distributions and their applications in queuing theory
21. Reliability bounds for the ℒ-class and Laplace order