Estb. 1882

University of the Punjab

+ Mathematical Statistics

NOTE: Attempt any FIVE questions selecting at least TWO questions from each section.

Section-I (4/9)

Probability Distributions


•    The postulates of probability

•    Some elementary theorems

•    Addition and multiplication rules

•    Baye’s rule and future Baye’s theorem

•    Random variables and probability functions

Discrete Probability Distributions

•    Uniform, Bernoulli and binomial  distribution

•    Hypergeometric and geometric distribution

•    Negative binomial and Poisson distribution

Continuous Probability Distributions 

•    Uniform and exponential distribution

•    Gamma and beta distributions

•    Normal distribution

Mathematical Expectations

•    Moments and  moment  generating functions

•    Moments of binomial, Hypergeometric, Poisson, Gamma, Beta and normal distributions



Section-II    (5/9)

Functions of Random Variables   

•    Distribution function technique

•    Transformation technique: One variable, Several variables

•    Moment-generating function technique

Sampling Distributions

•    The distribution of mean and variance

•    The distribution of differences of means and variances

•    The Chi-Square distribution

•    The t distribution

•    The F distribution

Regression and Correlation

•    Linear regression

•    The methods of least squares

•    Normal regression analysis

•    Normal correlation analysis

•    Multiple linear regression (along with matrix notation)

Credit hours/ Marks:- -

Reference Books

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