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B.Sc. (Hons), Semester-III

S.No. Topic Domain Hours as per UGC
1 Generating functions: Moment generating function and cumulant generating function along with their properties and uses

Chebychev’s inequality

Convergence in probability

Weak and strong laws of large numbers(Statements only)

Must know 14
2 Bernoulli Distribution

Binomial Distribution

Poisson Distribution

Geometric and hyper-geometric distributions

Properties of all above distributions

Must know 12
3 Uniform, gamma, beta(first and second kinds) distributions

Exponential distributions

Properties of all above distributions

Must know 10
4 Normal distribution with its properties

Central Limit Theorem (Statement only)

Applications of CLT

Nice to know 14


Books Recommended:

  1. Baisnab and M. Jas, Element of Probability and Statistics, Tata McGraw Hill.
  2. L.Meyer, Introductory Probability and Statistical Applications, Addison-Wesley Publishing Company, 1970.
  3. C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons, 2002.