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Curriculum | Title: PROBABILITY DISTRIBUTIONS (Code 09050305) | B.Sc. (Hons), Semester III

 

Title-Probability Distributions (Code-09050305)

B.Sc. (Hons) Mathematics (4th semester)

S.No. Contents of the topics Learning   Objectives Teaching Guidelines Methodology Time

(Hour)

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)

Students will be able to understand Study of MGF and inequalities Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 10
2 ·      Bernoulli Distribution

·      Binomial Distribution

·      Poisson Distribution

·      Geometric and hyper-geometric distributions

·      Properties of all above distributions

Students will be able to understand Study of distributions with their properties Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 15
3 ·      Uniform, gamma, beta(first and second kinds) distributions

·      Exponential distributions

·      Properties of all above distributions

Students will be able to understand Study of  distributions with their properties Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 12
4 ·      Normal distribution with its properties

·      Central Limit Theorem (Statement only)

·      Applications of CLT

Students will be able to understand Study of CLT and its applications Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 12

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.