Convex algebras of probability distributions induced by finite associative rings

2021 ◽  
Vol 31 (3) ◽  
pp. 223-230
Author(s):  
Alexey D. Yashunsky
Keyword(s):  
Associative Ring ◽  
Probability Distributions ◽  
Random Variables ◽  
Independent Random Variables ◽  
Finite Rings ◽  
Associative Rings

Abstract We consider the transformations of random variables over a finite associative ring by the addition and multiplication operations. For arbitrary finite rings, we construct families of distribution algebras, which are sets of distributions closed over sums and products of independent random variables.

On read-once transformations of random variables over finite fields

2015 ◽  
Vol 25 (5) ◽  
Author(s):  
Aleksey D. Yashunsky
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Probability Distributions ◽  
Random Variables ◽  
Independent Random Variables ◽  
Independent Identically Distributed ◽  
Family Of Distributions

AbstractTransformations of independent random variables over a finite field by read-once formulas are considered. Subsets of probability distributions that are preserved by read-once transformations are constructed. Also we construct a family of distributions that may be arbitrarily closely approximated by a read-once combination of independent identically distributed random variables, whose distributions have no zero components.

scholarly journals Asymptotic expansions for distributions of sums of a double sequence of quasilattice random variables

2011 ◽  
Vol 52 ◽  
pp. 353-358
Author(s):  
Algimantas Bikelis ◽  
Juozas Augutis ◽  
Kazimieras Padvelskis
Keyword(s):  
Asymptotic Expansion ◽  
Probability Distribution ◽  
Asymptotic Expansions ◽  
Probability Distributions ◽  
Double Sequence ◽  
Random Variables ◽  
Independent Random Variables ◽  
Infinitely Divisible ◽  
Formal Asymptotic Expansion

We consider the formal asymptotic expansion of probability distribution of the sums of independent random variables. The approximation was made by using infinitely divisible probability distributions.  

The compressed zero-divisor graphs of order 4

2021 ◽  
pp. 2250179
Author(s):  
A. S. Monastyreva
Keyword(s):  
Associative Ring ◽  
Zero Divisor ◽  
Finite Rings ◽  
Associative Rings ◽  
Siberian Math

In [E. V. Zhuravlev and A. S. Monastyreva, Compressed zero-divisor graphs of finite associative rings, Siberian Math. J. 61(1) (2020) 76–84.], we found the graphs containing at most three vertices that can be realized as the compressed zero-divisor graphs of some finite associative ring. This paper deals with associative finite rings whose compressed zero-divisor graphs have four vertices. Namely, we find all graphs containing four vertices that can be realized as the compressed zero-divisor graphs of some finite associative ring.

scholarly journals Max Weibull-G Power Series Distributions

2021 ◽  
pp. 15-29
Author(s):  
Munteanu Bogdan Gheorghe
Keyword(s):  
Probability Distribution ◽  
Power Series ◽  
Probability Distributions ◽  
Random Variables ◽  
Random Variable ◽  
Independent Random Variables ◽  
New Family ◽  
The Family ◽  
Distribution Family ◽  
Power Series Distributions

Based on the Weibull-G Power probability distribution family, we have proposed a new family of probability distributions, named by us the Max Weibull-G power series distributions, which may be applied in order to solve some reliability problems. This implies the fact that the Max Weibull-G power series is the distribution of a random variable max (X1 ,X2 ,...XN) where X1 ,X2 ,... are Weibull-G distributed independent random variables and N is a natural random variable the distribution of which belongs to the family of power series distribution. The main characteristics and properties of this distribution are analyzed.

scholarly journals Convolutions of generalized measures

2009 ◽  
Vol 50 ◽  
Author(s):  
Kazimieras Padvelskis ◽  
Algimantas Bikelis
Keyword(s):  
Probability Distributions ◽  
Random Variables ◽  
Independent Random Variables

The convolutions of probability distributions of independent random variables are analysed in this paper.

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