Theory and Practice of Mathematics and Computer Science Vol. 1
Synopsis
This book covers all areas of mathematics and computer science. The contributions by the authors include bivariate normal distribution; Morgenstern type bivariate logistic distribution; Morgenstern type bivariate exponential distribution; best linear unbiased estimation; coefficient of variation; concomitants of record values; logical reads; numeric data type; SQL performance; textual data type; DBMS; information retrieval; polynomial; polar derivative of a polynomial; maximum modulus; operating system; disk scheduling; seek time; average seek time; FCFS; IFCFS; polynomial Inequalities; maximum modulus; map reduce; Hadoop; distributed computing; Skorohod-Wichura theorem; weak convergence of probability measure; product spaces; arbitrary products; complete spaces; moment problems; ordered Hahn-Banach theorem version; probability measures characterizations by moments; weak convergence using moments; Riemann-Stieltjes integral; Lebesgue-Stieltjes integral; jump points and functions; integrability; integral formulas; Standard Brownian motion; Kolmogorov existence theorem; dyadic numbers; sequential construction; linear and circular consecutive-k-out-of-n system; reliability function; failure rate; shock model; normal distribution; logistic distribution; double exponential distribution; best linear unbiased estimation; coefficient of variation; order statistics; U-statistic estimator; majority judgment; mean-median compromise method etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.
Chapters
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Chapter 1Estimation of a Parameter of Certain Bivariate Distributions with Equal Coefficients of Variation by Concomitants of Record Values
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Chapter 2Evaluation of Arithmetic Searches over String Searches for Better Performance
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Chapter 3Selection of Table Scan or Seek Scan on the Basis of Data Size to Reduce Number of Logical Reads
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Chapter 4Extensions of Bernstein Type Inequalities of a Polynomial to Polar Derivative
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Chapter 5An Experimental Approach to Improve the Performance of FCFS Disk Scheduling Algorithm
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Chapter 6Higher Power Growth of Polynomials with Prescribed Zeros
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Chapter 7An Experimental Implementation of Map Reduce on the Hadoop for Analyzing Big Data
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Chapter 8A Detailed and Direct Proof of Skorohod-Wichura's Theorem
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Chapter 9A Recent and Modern Approach to The Moment Problem on R
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Chapter 10A Comparative study between Riemann-Stieltjes and Lebesgue-Stieltjes Integration using Discrete Distribution Functions
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Chapter 11Study on A Direct Construction of the Standard Brownian Motion
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Chapter 12Studies on Reliability of Linear and Circular Consecutive-k-out-of-n Systems with Shock Model
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Chapter 13Estimation of the Parameter of Certain Distributions with Known Coefficient of Variation by U-Statistics
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Chapter 14Hybridizing Median and Average for Measuring, Electing and Ranking Candidates