THE THEOREMS CHARACTERIZING THE POSITIVE QUADRANT DEPENDENCE MODELS AND LANCASTER DISTRIBUTIONS

2007 ◽  
Vol 40 (4) ◽  
pp. 951-962
Author(s):  
Konrad Furmańczyk
2010 ◽  
Vol 38 (4) ◽  
pp. 555-581 ◽  
Author(s):  
Irène Gijbels ◽  
Marek Omelka ◽  
Dominik Sznajder

1994 ◽  
Vol 8 (3) ◽  
pp. 385-401 ◽  
Author(s):  
Zhaoben Fang ◽  
Taizhong Hu ◽  
Harry Joe

Results and conditions that quantify the decrease in dependence with lag for stationary Markov chains are obtained. Notions of dependence that are used are the concordance or positive quadrant dependence ordering, measures of dependence based on ψ-divergences such as the relative entropy measure of dependence, and the Goodman-Kruskal measure of association. The general results are mainly for first-order Markov chains, but there are also some results for higher order Markov chains.


2019 ◽  
pp. 1-15
Author(s):  
Chuan-Fa Tang ◽  
Dewei Wang ◽  
Hammou El Barmi ◽  
Joshua M. Tebbs

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