Statistical Models for Computer Science i.e. SMCS Notes can be easily download from here in PDF format . The special in these notes is that these are handwritten notes made by some expert student in simple and easy language covering diagrams and configurations. These notes covers whole syllabus of the B.tech (4th Year) Students with computer Science Stream.
The notes are divided into four different units.The particular units covers following topics:-
Probability Models, Sample Space, Events, their algebra, graphical methods of representing events, Probability Axioms and their applications, Condition probability, Independence of Events, Bayes’ Rule and Bernoulli Trials.
Random variables, and their event spaces, Probability mass function, Distribution functions, some discrete distributions (Bernoulli, Binomial, Geometric, Negative Binomial, poisson, Hyper geometric and Uniform), Probability Generating Function, Discrete random vectors, Continuous random variables: some continuous distributions (Exponential, HyperexponentiaI, Erlang, Gamma, Normal), Functions of random variables, joint1y distributed random variables.Expectation, Expectation of functions of more than one random variable, Brief introduction to
Conditional pmf: pdf and expectation, Moments and transforms of some distributions (Uniform,Bernoulli, Binomial, Geometric, Poisson. Exponential, Gamma, Normal), Computation of mean time to failure.
Stochastic Processes, Classification of stochastic processes, the Bernoulli process, The Poisson process, renewal process, renewal model of program behavior.
Markov Chains, Computation of n-step transition probabilities, State classification and limiting distributions, Distribution of times between state changes, Irreducible finite chains with aperiodic states, M/G/l queuing system, Discrete parameter Birth-Death processes, Analysis of program execution time. Continuous parameter Markov Chains, Birth-Death process with special cases, Non-Birth-Death Processes.
Download Unit I:-
Download Unit II :-
Download Unit III :-
Download Unit IV :-
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