math-syllabus

Statistics:

• [[Measures of Central Tendency]]
• [[Measures of dispersion skewness]]
• kurtosis

Sample space:

• Events Definition of probability Addition and multiplication laws of probability Independence
• Conditional probability
• [[Baye’s Theorem]]
• simple problems.

Random Variables (Discrete and continuous)

• Distribution function Expected values & moments

• Moment generating function

• probability generating function

• Examples.

• Characteristic function Uniqueness and inversion theorems Cumulants Chebychev’s inequality - Simple problems.

Concepts of bivariate distribution

• multiple correlation coefficients
• Correlation Rank correlation coefficient

Concepts of partial and Regression

Method of Least squares for fitting Linear,

Quadratic and exponential curves

• simple problems.

Standard distributions

• [[Binomial Distribution]]
• [[Poission Distribution]]
• [[Normal Distribution]]
• [[Uniform distributions]]