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Some multivariate dmrl and nbue definitions based on conditional stochastic order

Some multivariate dmrl and nbue definitions based on conditional stochastic order Two classes of multivariate DMRL distributions and a class of multivariate NBUE distributions are introduced in this paper by using conditional stochastic order. That is, a random vector belongs to a multivariate DMRL class of life distributions if its residual life (defined as a conditional random vector) is decreasing in time under convex or linear order. Some conservation properties of these classes are studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Some multivariate dmrl and nbue definitions based on conditional stochastic order

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Publisher
Springer Journals
Copyright
Copyright © 1994 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02006862
Publisher site
See Article on Publisher Site

Abstract

Two classes of multivariate DMRL distributions and a class of multivariate NBUE distributions are introduced in this paper by using conditional stochastic order. That is, a random vector belongs to a multivariate DMRL class of life distributions if its residual life (defined as a conditional random vector) is decreasing in time under convex or linear order. Some conservation properties of these classes are studied.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References