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A new measure of probabilistic entropy and its properties
measure of probabilistic entropy properties
2010/9/25
The concept of entropy in communication theory was first introduced by Shannon [13] and it was then realized that entropy is a property of any stochastic system and the concept is now used widely in d...
Algebraic and probabilistic retirement models
Future Lifetimes Average Future Lifetimes Risk Pooling
2010/9/20
This paper aims to discuss retirement from the mathematician’s viewpoint. In this world of today, are individuals going to have enough retirement savings and income to survive to a certain age or deat...
On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters
Askey-Wilson densities polynomials complex parameters
2010/11/11
We give equivalent forms of Askey-Wilson (AW) polynomials expressing them with a help of Al-Salam-Chihara polynomials. After restricting parameters of AW polynomials to complex conjugate pairs we giv...
Mathematical expectation of probabilistic metric spaces and Banach fixed point theorem
Probabilistic metric space Mathematical expectation
2010/9/14
The purpose of this article is to study the mathematical expectation of probabilistic metric space and by using the method of mathematical expectation to study the fixed point theorem of Banach in the...
Some completeness theorems in the Menger probabilistic metric space
Menger probabilistic metric space
2008/12/26
In this article, some new completeness theorems in probabilis-
tic normed space are proved. Moreover, the existence of a constrictive
Menger probabilistic normed space is shown.
Correction to the paper "Bounded Linear Operator in Probabilistic Normed Spaces"
Probabilistic normed spaces Bounded linear operator Counterexample
2008/7/2
We show that Theorem 2.4 of a recent paper by I.H. Jebril and R.I.M. Ali is incorrect.
Bounded Linear Operators in Probabilistic Normed Space
Probabilistic Normed Space Bounded Linear Operators
2008/7/1
The notion of a probabilistic metric space was introduced by Menger in 1942. The notion of a probabilistic normed space was introduced in 1993. The aim of this paper is to give a necessary condition t...
Fixed point theorems in general probabilistic metric spaces
Fixed points general complete probabilistic metric spaces nonlinear semigroups
2010/9/16
Contraction maps on probalistic metric spaces were first defined and studied by Sehgal [12]. They were subsequently studied by Sherwood [13],where firstly appeared the fundamental problem of ”bounded ...
Absolute bounds on the mean of sum, product, max, and min: A probabilistic extension of interval arithmetic
interval computations partial information about probabilities
2010/9/15
Absolute bounds on the mean of sum, product, max, and min: A probabilistic extension of interval arithmetic.