Abstract
We introduce a new notion of positive dependence of survival times of system components using the multivariate arrangement increasing property. Following the spirit of Barlow and Mendel (J. Amer. Statist. Assoc. 87, 1116-1122), who introduced a new univariate aging notion relative to exchangeable populations of components, we characterize a multivariate positive dependence with respect to exchangeable multicomponent systems. Closure properties of such a class of distributions under some reliability operations are discussed. For an infinite population of systems our definition of multivariate positive dependence can be considered in the frequentist's paradigm as multivariate totally positive of order 2 with an independence condition. de Finetti(-type) representations for a particular class of survival functions are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 225-240 |
| Number of pages | 16 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 70 |
| Issue number | 2 |
| Publication status | Published - 1998 Jul 15 |
| Externally published | Yes |
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Keywords
- 62F15
- 62N05
- Association
- De Finetti representation theorem
- Multivariate arrangement increasing property
- Multivariate totally positive of order 2
ASJC Scopus subject areas
- Statistics, Probability and Uncertainty
- Applied Mathematics
- Statistics and Probability
Cite this
A Bayesian positive dependence of survival times based on the multivariate arrangement increasing property. / Hayakawa, Yu.
In: Journal of Statistical Planning and Inference, Vol. 70, No. 2, 15.07.1998, p. 225-240.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A Bayesian positive dependence of survival times based on the multivariate arrangement increasing property
AU - Hayakawa, Yu
PY - 1998/7/15
Y1 - 1998/7/15
N2 - We introduce a new notion of positive dependence of survival times of system components using the multivariate arrangement increasing property. Following the spirit of Barlow and Mendel (J. Amer. Statist. Assoc. 87, 1116-1122), who introduced a new univariate aging notion relative to exchangeable populations of components, we characterize a multivariate positive dependence with respect to exchangeable multicomponent systems. Closure properties of such a class of distributions under some reliability operations are discussed. For an infinite population of systems our definition of multivariate positive dependence can be considered in the frequentist's paradigm as multivariate totally positive of order 2 with an independence condition. de Finetti(-type) representations for a particular class of survival functions are also given.
AB - We introduce a new notion of positive dependence of survival times of system components using the multivariate arrangement increasing property. Following the spirit of Barlow and Mendel (J. Amer. Statist. Assoc. 87, 1116-1122), who introduced a new univariate aging notion relative to exchangeable populations of components, we characterize a multivariate positive dependence with respect to exchangeable multicomponent systems. Closure properties of such a class of distributions under some reliability operations are discussed. For an infinite population of systems our definition of multivariate positive dependence can be considered in the frequentist's paradigm as multivariate totally positive of order 2 with an independence condition. de Finetti(-type) representations for a particular class of survival functions are also given.
KW - 62F15
KW - 62N05
KW - Association
KW - De Finetti representation theorem
KW - Multivariate arrangement increasing property
KW - Multivariate totally positive of order 2
UR - http://www.scopus.com/inward/record.url?scp=0032527344&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032527344&partnerID=8YFLogxK
M3 - Article
VL - 70
SP - 225
EP - 240
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
SN - 0378-3758
IS - 2
ER -