Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Generalizations of the hazard functions are proposed and general hazard rate orders are introduced. Some stochastic orders are defined as general ones. A unified derivation of relations between the dispersive order and some other orders of distributions is presented
Czasopismo
Rocznik
Tom
Numer
Strony
429-444
Opis fizyczny
Daty
wydano
1997
otrzymano
1996-10-04
Twórcy
autor
- Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Bibliografia
- A. N. Ahmed, A. Alzaid, J. Bartoszewicz and S. C. Kochar (1986), Dispersive and superadditive ordering, Adv. in Appl. Probab. 18, 1019-1022.
- A. A. Alzaid and F. Proschan (1992) Dispersivity and stochastic majorization, Statist. Probab. Lett. 13, 275-278.
- R. E. Barlow, D. J. Bartholomew, J. M. Bremner and H. D. Brunk (1972), Statistical Inference under Order Restrictions, Wiley, New York.
- R. E. Barlow and F. Proschan (1975), The Statistical Theory of Reliability, Holt, Rinehart and Winston, New York.
- J. Bartoszewicz (1985), Moment inequalities for order statistics from ordered families of distributions, Metrika 32, 383-389.
- J. Bartoszewicz (1987), A note on dispersive ordering defined by hazard functions, Statist. Probab. Lett. 6, 13-16.
- N. B. Ebrahimi and H. Zahedi (1992), Memory ordering of survival functions, Statistics 23, 337-345.
- M. Hollander and F. Proschan (1984), Nonparametric concepts and methods in reliability, in: Handbook of Statistics, Elsevier, New York, Vol. 4,
- 613-655.
- J. Keilson and U. Sumita (1982), Uniform stochastic ordering and related inequalities, Canad. J. Statist. 10, 181-189.
- J. Lynch, G. Mimmack and F. Proschan (1987), Uniform stochastic orderings and total positivity, ibid. 15, 63-69.
- Y. Sathe (1984), A comment on star ordering and tail ordering, Adv. in Appl. Probab. 16, 692.
- M. Shaked (1982), Dispersive ordering of distributions, J. Appl. Probab. 19, 310-320.
- M. Shaked and J. G. Shanthikumar (1994), Stochastic Orders and Their Applications, Academic Press, New York.
- W. R. van Zwet (1964), Convex Transformations of Random Variables, Mathematisch Centrum, Amsterdam.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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