Some Partial Order Relations on a Set of Random Variables

2018 ◽  
pp. 42-45
Author(s):  
Bernard De Baets ◽  
Hans De Meyer
Keyword(s):  
Partial Order ◽  
Random Variables ◽  
Order Relations

scholarly journals Stochastic Order Relations Among Parallel Systems from Weibull Distributions

2015 ◽  
Vol 52 (01) ◽  
pp. 102-116 ◽  
Author(s):  
Nuria Torrado ◽  
Subhash C. Kochar
Keyword(s):  
Likelihood Ratio ◽  
Hazard Rate ◽  
Stochastic Order ◽  
Random Variables ◽  
Parallel Systems ◽  
Parallel System ◽  
Weibull Distributions ◽  
Scale Parameters ◽  
Order Relations ◽  
Stochastic Order Relations

Let X λ1 , X λ2 , …, X λ n be independent Weibull random variables with X λ i ∼ W(α, λ i ), where λ i > 0 for i = 1, …, n. Let X n:n λ denote the lifetime of the parallel system formed from X λ1 , X λ2 , …, X λ n . We investigate the effect of the changes in the scale parameters (λ1, …, λ n ) on the magnitude of X n:n λ according to reverse hazard rate and likelihood ratio orderings.

Comparisons for carrier-borne epidemics in heterogeneous and homogeneous populations

1988 ◽  
Vol 25 (04) ◽  
pp. 663-674 ◽  
Author(s):  
Claude Lefevre ◽  
Marie-Pierre Malice
Keyword(s):  
Random Variables ◽  
Individual Variability ◽  
Variable Order ◽  
Removal Rates ◽  
Numerical Examples ◽  
Order Relations

Two specific models for the spread of a carrier-borne epidemic are considered which allow for individual variability. The implications of differences in the infection or removal rates are investigated by comparing the propagation of the disease for heterogeneous and homogeneous populations. This is achieved by means of the stochastically larger and more variable order relations for random variables. The results obtained extend earlier ones and are illustrated with some numerical examples.

On Partial Order Relations in Granular Computing

2010 ◽  
Author(s):  
Hongxing Chen ◽  
Yuhua Qian ◽  
Jiye Liang ◽  
Wei Wei
Keyword(s):  
Partial Order ◽  
Granular Computing ◽  
Order Relations

Partial order relations in distributed object environments

2000 ◽  
Vol 34 (4) ◽  
pp. 56-75 ◽  
Author(s):  
Laurence Duchien ◽  
Gérard Florin ◽  
Lionel Seinturier
Keyword(s):  
Partial Order ◽  
Distributed Object ◽  
Order Relations

scholarly journals A study on orderings based on fuzzy quasi- order relations

2021 ◽  
Author(s):  
Zhonglin Chai
Keyword(s):  
Partial Order ◽  
Order Relation ◽  
Fuzzy Relation ◽  
Partial Order Relation ◽  
Fuzzy Relations ◽  
Fuzzy Graph ◽  
Feasible Method ◽  
Order Relations ◽  
Finite Set ◽  
Quasi Order

Abstract This paper further studies orderings based on fuzzy quasi-order relations using fuzzy graph. Firstly, a fuzzy relation on a finite set is represented equivalently by a fuzzy graph. Using the graph, some new results on fuzzy relations are derived. In ranking those alternatives, we usually obtain a quasi-order relation, which often has inconsistencies, so it cannot be used for orderings directly. We need to remake it into a reasonable partial order relation for orderings. This paper studies these inconsistencies, and divides them into two types: framework inconsistencies and degree inconsistencies. For the former, a reasonable and feasible method is presented to eliminate them. To eliminate the latter, the concept of complete partial order relation is presented, which is more suitable than partial order relation to rank the alternatives. A method to obtain a reasonable complete partial order relation for a quasi-order relation is given also. An example is given as well to illustrate these discussions. Lastly, the paper discusses the connection between quasi-order relations and preference relations for orderings and some other related problems.

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