On a Bivariate Lack of Memory Property Under Binary Associative Operation

2004 ◽  
Vol 33 (12) ◽  
pp. 3103-3114 ◽  
Author(s):  
B. L. S. Prakasa Rao
Keyword(s):  
Memory Property ◽  
Associative Operation ◽  
Lack Of Memory Property

On distributions having the almost-lack-of-memory property

1992 ◽  
Vol 29 (3) ◽  
pp. 691-698 ◽  
Author(s):  
S. Chukova ◽  
B. Dimitrov
Keyword(s):  
Random Variables ◽  
Unreliable Server ◽  
Memory Property ◽  
The Given ◽  
Lack Of Memory Property

It is shown that random variables X exist, not exponentially or geometrically distributed, such thatP{X – b ≧ x | X ≧ b} = P{X ≧ x}for all x > 0 and infinitely many different values of b. A class of distributions having the given property is exhibited. We call them ALM distributions, since they almost have the lack-of-memory property. For a given subclass of these distributions some phenomena relating to service by an unreliable server are discussed.

scholarly journals Sibuya-type bivariate lack of memory property

2015 ◽  
Vol 134 ◽  
pp. 119-128 ◽  
Author(s):  
Jayme Pinto ◽  
Nikolai Kolev
Keyword(s):  
Memory Property ◽  
Lack Of Memory Property

A characterization of the geometric distribution

1974 ◽  
Vol 11 (03) ◽  
pp. 609-611
Author(s):  
A. C. Dallas
Keyword(s):  
Geometric Distribution ◽  
Conditional Variance ◽  
Memory Property ◽  
Lack Of Memory Property

The geometric distribution is characterized. The lack of memory property is replaced by the constancy of the conditional variance. Then the characterization is obtained.

Some multivariate lifetime distributions

1987 ◽  
Vol 19 (01) ◽  
pp. 138-155 ◽  
Author(s):  
S. G. Ghurye
Keyword(s):  
Multivariate Distributions ◽  
Lifetime Distributions ◽  
Memory Property ◽  
The Family ◽  
Lack Of Memory Property ◽  
Multivariate Exponential ◽  
Family Of Distributions

The family of distributions which have the lack-of-memory property is extended by incorporating simple patterns of ageing in the model. Some relatively simple multivariate distributions, obtained in this manner, might prove to be more realistic than distributions like the multivariate exponential.

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