Course: AMT 112 2.0 Mathematical Statistics I (Compulsory)
Course content:
Events and Probability, Events and probability, Conditional events and conditional probability, Classical probability and empirical probability, Probability rules, Interpretation of probability, Random variables, Probability mass/ density functions, The cumulative distributive function, Descriptive measures of random variables: Mean, variance etc. Moment generating function, Binomial distribution, Poisson distribution, Uniform distribution, Normal distribution, Covariance and coefficient of correlation, Distributions of transformations of discrete random variables, Distributions of transformations of continuous random variables, Sampling distributions arising from normal data, Central limit theorem.
Recommended Readings:
- Boes, D.C., Graybill, F.A. & Mood, A.M. (1974). Introduction to the Theory of Statistics. McGraw-Hill Publishing Company.
- Hoel, P.G. (1984). Introduction to Mathematical Statistics. John Wiley & Sons Incorporated.
- Craig, A.T., Hogg, R.V. & McKean, J.W. (2005). Introduction to Mathematical Statistics. Prentice Hall.
- Any other books on Probability and Distribution Theory, Mathematical Statistics
- Online reading – https://newonlinecourses.science.psu.edu/stat414/node/5/