Information Measures and some Distribution Approximations.
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 3
Abstract
The Fisher and Kullback- Liebler information measures were calculated from the approximation of a binomial distribution by both the Poisson and the normal distributions and are applied to the approximation of a Poisson distribution by a normal distribution. In this paper the concept of relative loss in information due to approximating the distribution of a random variable by that of another distribution of is introduced, and this concept is used to determine the value of the sample size for which the relative loss in information measure is less than a given level .
Authors and Affiliations
Eihab B. M. Bashier, Mohammed E. M. Gobar, Adnan M. Awad
Keywords
Related Articles
- EP ID EP651234
- DOI 10.24297/jam.v6i3.7243
- Views 174
- Downloads 0
SELECTION OF A LEADER FOR A COMPANY BY USING PRIORITIZATION METHODS OF ANALYTIC HIERARCHY PROCESS AN ILLUSTRATION
This paper aims at selection of a leader for a company (whose founder is about to retire) with one of the popular decision making techniques. Analytic Hierarchy Process is an approach to decision making that involves str...
Green's Relations in Rings and Completely Simple Rings
In this paper we prove that which of Green's relations $\mathcal{L,R,H}$ and $\mathcal{D}$ in rings preserve the minimality of quasi-ideal. By this it is possible to show the structure of the classes generated by the abo...
Schwarschild metric in six dimensions - a topological study
In this article we introduce some types of the deformtion retracts of the 6D Schwarzchild making use of Lagrangian equations. The retraction of this space into itself and into geodesics has been presented. The relation b...
OPTIMAL DISTRIBUTED CONTROL OF STOCHASTIC ELLIPTIC SYSTEMS WITH CONSTRAINTS
The objective of this paper is to study the optimality for stochastic non cooperative elliptic systems. A distributed control problem for a stochastic elliptic systems with constraints on states and controls is studied....
Optimal Pricing Policies For Deteriorating items With Preservation Technology And Price Sensitive Demand
This paper considers the problem of determining the price, cycle time and preservation technology cost strategies for deteriorating items. It is assumed that preservation technology investment and demand rate do follow t...