Document Details

Document Type : Article In Journal 
Document Title :
A Tutorial on How to Efficiently Calculate and Format Tables of the Binomial Distribution
شرح تعليمي عن كيف تحسب وتشكل بكفاءة جداول التوزيع ذي الحدين
 
Subject : Electricical and Computer Engineering 
Document Language : English 
Abstract : Owing to the importance of the binomial distribution, tables for its probability mass function (PMF) and its cumulative distribution function (CDF) have been extensively published. This paper presents a tutorial on a novel technique for constructing and recording these tables. The tables are to be compiled with a high precision and a minimal round-off error through the use of highly efficient iterative algorithms based on binary recursive relations for the PMF and the CDF. The computational cost for each additional table entry is merely a single multiplication plus two additions. This remarkably low cost is due to the fact that each entry is computed in terms of exactly two preceding entries. Certain symmetries and limiting values are noted, thereby allowing a considerable reduction in the number of listed entries. Table entries are given in compact forms of fixed-point or floating-point format, with an objective of minimizing the numerical uncertainty that arises when representing an entry in a limited field width, i.e., when using a limited number of digit or character positions. This kind of novel format is crucial for accurate evaluation of probabilities associated with ultra-high reliability systems or with very rare events. 
ISSN : 1319-1047 
Journal Name : Engineering Sciences Journal 
Volume : 19 
Issue Number : 1 
Publishing Year : 1429 AH
2008 AD 
Number Of Pages : 14 
Article Type : Article 
Added Date : Sunday, October 11, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
عبدالغني محمد القاسميA. M. Al-QasimiResearcher  
علي محمد علي رشديA. M. A. RushdiResearcher  

Files

File NameTypeDescription
 23031.pdf pdf 

Back To Researches Page