# Dispersive functions and stochastic orders

Applicationes Mathematicae (1997)

- Volume: 24, Issue: 4, page 429-444
- ISSN: 1233-7234

## Access Full Article

top## Abstract

top## How to cite

topBartoszewicz, Jarosław. "Dispersive functions and stochastic orders." Applicationes Mathematicae 24.4 (1997): 429-444. <http://eudml.org/doc/219183>.

@article{Bartoszewicz1997,

abstract = {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},

author = {Bartoszewicz, Jarosław},

journal = {Applicationes Mathematicae},

keywords = {stationary renewal distribution; mean residual life; preservation theorem; partial orders; hazard function; dispersive function; hazard functions; stochastic orders; hazard rate orders},

language = {eng},

number = {4},

pages = {429-444},

title = {Dispersive functions and stochastic orders},

url = {http://eudml.org/doc/219183},

volume = {24},

year = {1997},

}

TY - JOUR

AU - Bartoszewicz, Jarosław

TI - Dispersive functions and stochastic orders

JO - Applicationes Mathematicae

PY - 1997

VL - 24

IS - 4

SP - 429

EP - 444

AB - 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

LA - eng

KW - stationary renewal distribution; mean residual life; preservation theorem; partial orders; hazard function; dispersive function; hazard functions; stochastic orders; hazard rate orders

UR - http://eudml.org/doc/219183

ER -

## References

top- A. N. Ahmed, A. Alzaid, J. Bartoszewicz and S. C. Kochar (1986), Dispersive and superadditive ordering, Adv. in Appl. Probab. 18, 1019-1022. Zbl0611.60018
- A. A. Alzaid and F. Proschan (1992) Dispersivity and stochastic majorization, Statist. Probab. Lett. 13, 275-278. Zbl0744.62073
- R. E. Barlow, D. J. Bartholomew, J. M. Bremner and H. D. Brunk (1972), Statistical Inference under Order Restrictions, Wiley, New York. Zbl0246.62038
- R. E. Barlow and F. Proschan (1975), The Statistical Theory of Reliability, Holt, Rinehart and Winston, New York. Zbl0379.62080
- J. Bartoszewicz (1985), Moment inequalities for order statistics from ordered families of distributions, Metrika 32, 383-389. Zbl0584.62030
- J. Bartoszewicz (1987), A note on dispersive ordering defined by hazard functions, Statist. Probab. Lett. 6, 13-16. Zbl0633.62017
- N. B. Ebrahimi and H. Zahedi (1992), Memory ordering of survival functions, Statistics 23, 337-345. Zbl0811.62021
- M. Hollander and F. Proschan (1984), Nonparametric concepts and methods in reliability, in: Handbook of Statistics, Elsevier, New York, Vol. 4, Zbl0596.62099
- 613-655.
- J. Keilson and U. Sumita (1982), Uniform stochastic ordering and related inequalities, Canad. J. Statist. 10, 181-189. Zbl0516.60063
- J. Lynch, G. Mimmack and F. Proschan (1987), Uniform stochastic orderings and total positivity, ibid. 15, 63-69. Zbl0617.62005
- Y. Sathe (1984), A comment on star ordering and tail ordering, Adv. in Appl. Probab. 16, 692. Zbl0542.60018
- M. Shaked (1982), Dispersive ordering of distributions, J. Appl. Probab. 19, 310-320. Zbl0481.60022
- M. Shaked and J. G. Shanthikumar (1994), Stochastic Orders and Their Applications, Academic Press, New York. Zbl0806.62009
- W. R. van Zwet (1964), Convex Transformations of Random Variables, Mathematisch Centrum, Amsterdam. Zbl0125.37102

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.