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# Probability Distributions, Random Process and Numerical Methods, As per AICTE

ISBN: 9788126509843

INR 389

## Description

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 (earlier Kerala 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.

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