(Paperback)
Dr. A. Singaravelu, Dr. M. P. Jeyaraman, Dr. S. Sivasubramanian,
Meenakshi Agency (Publisher)
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Random Processes And Linear Algebra(MA3355) Description Regulations - 2021(MA3355) 1 : Probability and Random Variables Axioms of probability – Conditional probability – Baye’s theorem - Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions - Functions of a random variable. 2 : Two Dimensional Random Variables Joint distributions - Marginal and conditional distributions – Covariance - Correlation and Linear Regression - Transformation of random variables – Central limit theorem (for independent and identically distributed random variables). 3 : Random Processes Classification – Stationary process – Markov process - Poisson process - Discrete parameter - Markov chain – Chapman Kolmogorov equations (Statement only) - Limiting distributions. 4 : Vector Spaces Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions. 5 : Linear Transformation and Inner Product Spaces Linear transformation - Null spaces and ranges - Dimension theorem - Matrix representation of a linear transformations - Inner product - Norms - Gram Schmidt orthogonalization process - Adjoint of linear operations - Least square approximation.
