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Distributions Continuous Distributions Uniform, normal, Erlanggamma, exponential, Ray Leigh laplace, cauchy, Marginal & conditional distributions For the above discrete distribution definition of r.v and derivation of its p.m.f. is expected. For the continuous distributions p.d.f. should be defined. Special properties of the distribution (if any) should be tested. Expectation Expectation of R.V, expectation of a function of a r.v. should be defined For all the above distributions using these definitions mean & variance should be obtained. Moment generating function & its properties. Finding mean & variance using m.g.f. cumulant generating function, cumulants properties, finding mean & variance using cumulants, characteristic function-properties, finding mean & variance
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References: For Probability 1. A first course in Probability 2. Probability & Random Process For Combinatories 3 Discrete Mathematics 4 Combinations 5 Discrete Mathematics
Ross S. T.Veerarajan
Modak Andor Boxwala(BSC Computer) Munot Modak Andor Boxwala C.L. Liu
Note: Topic wise list of books is given