Some Properties of Random Equations and their Applications to LPP: Some Properties of Random Equations and their Applications to Linear Programming Problems

Manas Pal

Published by LAP LAMBERT Academic Publishing, 2013
ISBN 10: 3659358932 / ISBN 13: 9783659358937
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Synopsis: In describing a physical phenomenon, mathematical equations come to picture, whose coefficients carry some physical meanings. These coefficients of the equations are random variables following some probability distributions. Since they arise out of some experiments or natural observations, it is necessary to study the properties of the solutions of those random equations. In recent years much work has appeared on random polynomials due to its wide applications in Economics, Statistics, engineering and many other applied branches of Science. Many reputed mathematicians have developed many techniques to find out the average number of real roots for random polynomials, where the coefficients are normal or stable variables, but in our work we have concentrated our study on the average number of real roots of random algebraic polynomials when the coefficients follow different probability distributions. We have also studied the Exceedance measure of algebraic polynomials with normally distributed coefficients and their applications to linear programming problems.

About the Author: Dr. M. K. Pal is at present Associate Professor at IMIS, India. He has over 17 years of experience in teaching, research and consulting. His research is in the area of probability & statistics. Dr. S. Bagh is at present Professor and HOD of Statistics at Sambalpur University, India. He has been teaching P.G. classes since 1979 in University.

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Title: Some Properties of Random Equations and ...
Publisher: LAP LAMBERT Academic Publishing
Publication Date: 2013
Binding: Paperback
Book Condition: Good

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Book Description LAP Lambert Academic Publishing, United States, 2013. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.In describing a physical phenomenon, mathematical equations come to picture, whose coefficients carry some physical meanings. These coefficients of the equations are random variables following some probability distributions. Since they arise out of some experiments or natural observations, it is necessary to study the properties of the solutions of those random equations. In recent years much work has appeared on random polynomials due to its wide applications in Economics, Statistics, engineering and many other applied branches of Science. Many reputed mathematicians have developed many techniques to find out the average number of real roots for random polynomials, where the coefficients are normal or stable variables, but in our work we have concentrated our study on the average number of real roots of random algebraic polynomials when the coefficients follow different probability distributions. We have also studied the Exceedance measure of algebraic polynomials with normally distributed coefficients and their applications to linear programming problems. Seller Inventory # AAV9783659358937

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