# Probability Distributions, Random Processes and Numerical Methods for KTU 4th Semester

Author Price : Dr. Remadevi S., Bindu Krishnan : Rs 349.00 : 9788126565627 : 8126565624 : 308 : Paperbound

## Details

The book meets the requirement of B.Tech. (IV semester) students for the course MA 204, Probability Distributions, Random Processes and Numerical Methods of APJ Abdul Kalam Technological University Kerala. The sixth chapter is adapted from the tenth edition of the bestselling title, Advanced Engineering Mathematics by Erwin Kreyszig. The text presents an elementary treatment of the subject and addresses the changing needs of a new generation of students. The aim of the book is to present the fundamentals of the subjects in the clearest possible way and pedagogy being the main consideration.

Preface

Syllabus

1. Discrete Probability Distributions

1.1 Random Variables

1.2 Mean and Variance of Discrete Probability Distribution

1.3 Binomial Distribution

1.4 Poisson Distribution

1.5 Distribution Fitting − Binomial and Poisson Distribution

2. Continuous Probability Distributions

2.1 Continuous Random Variables

2.2 The Normal Distribution

2.3 Uniform Distribution

2.4 Exponential Distribution

3. Joint Distributions

3.1 Joint Probability Distributions – Discrete and Continuous

3.2 Marginal Distributions

3.3 Independent Random Variables

3.4 Expectation Involving Two or More Random Variables

3.5 Covariance of Pairs of Random Variables

3.6 Central Limit Theorem (CLT)

4. Random Processes

4.1 Random Process or Stochastic Process

4.2 Wide-Sense Stationary (WSS) Process

4.3 Autocorrelation and Autocovariance Functions of WSS Processes

4.4 Power Spectral Density

5. Special Random Processes

5.1 Markov Chain

5.2 Chapman−Kolmogorov Theorem

5.3 Stationary Distribution for a Markov Chain

5.4 Poisson Process

6. Numerical Methods

6.1 Solution of Equations by Iteration

6.2 Interpolation

6.3 Numeric Integration

6.4 Numerical Solution of First-Order ODE

Appendix A

Table I Binomial Distribution Function

Table II Poisson Distribution Function

Table III Standard Normal Distribution Function

Table IV Areas of a Standard Normal Distribution (Area from 0 to z) [Alternative Version of Table III]

Primary Market

Secondary Market

Working practitioners of industry and research organizations

Dr. Remadevi S. is presently working as Professor in Mathematics and Head of Department of Applied Science in Government Model Engineering College, Thrikkakara, Cochin, Kerala. She has more than 25 years of teaching experience in engineering colleges with a good command over the subject. She did her M.Sc. in Mathematics from Kerala University and M.Phil. in Mathematics from Cochin University of Science and Technology.

Bindu Krishnan is presently working as Assistant Professor in TocH Institute of Science and Technology, Ernakulam, Kerala. She is a postgraduate in Statistics from Cochin University of Science and Technology with 18 years of teaching experience in engineering colleges.