Probability Theory and Applications
Offered By: NIOS via YouTube
Course Description
Overview
Syllabus
Queuing Models M/M/I Birth and Death Process Little's Formulae.
Strong law of large numbers, Joint mgf.
Reducible markov chains.
Inter-arrival times, Properties of Poisson processes.
Applications of central limit theorem.
Random walk, periodic and null states.
Poisson processes.
Central limit theorem.
First passage and first return prob. Classification of states.
Convergence and limit theorems.
State prob.First passage and First return prob.
M/M/I/K & M/M/S/K Models.
Inequalities and bounds.
Transition and state probabilities.
M/M/S M/M/I/K Model.
Stochastic processes:Markov process.
Convolutions.
Time Reversible Markov Chains.
Analysis of L,Lq,W and Wq, M/M/S Model.
Reliability of systems.
Exponential Failure law, Weibull Law.
Application to Reliability theory failure law.
Function of Random variables,moment generating function.
Continuous random variables and their distributions.
Continuous random variables and their distributions.
Discreet random variables and their distributions.
Discreet random variables and their distributions.
Discrete random variables and their distributions.
Taught by
Ch 30 NIOS: Gyanamrit
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