Probability

● Conditional Probability

● Unconditional Probability

● Approaches to probability - Classical approach to probability, Relative

frequency approach to probability, Richard Von Mises approach to

probability, Cramer and Kolmogorov’s approach to probability

● Sample Space - Discrete sample space, Continuous sample space

● Event - Operation of Event, Independent Events, Mutually Exclusive

Events

● Random Experiment

● Trial

● Bayes's theorem and its application

● Random Variables

● Moment generating functions

● Probability generating functions

● Chesbyshev’s inequality and its application

Distributions

● Uniform Distribution

● Binomial Distribution

● Poisson distribution

● Geometric Distribution

● Hyper-geometric Distribution

● Continuous univariate distributions

● Normal Distribution

● Exponential Distribution

● Gamma and Beta Distribution

Types of Data

● Qualitative and quantitative Data

● Discrete and Continuous data

● Primary and Secondary data

● Presentation of Data

● Construction

● Diagrammatic

● Graphical representation

● Bar diagram

● Ogive diagram

● Histogram

● Frequency Polygon

● Measures of central tendency

● Dispersion

● Relative Dispersion

● Absolute Dispersion

● Bivariate Data

● Scatter diagram

● Correlation coefficient

● Rank correlation

● Spearman’s and Kendall’s measures

● Multivariate Data

● Multiple correlations in three variables

● Partial correlation in three variables

● Regression lines

● Regression coefficient

● Principal of least squares

● Analysis of Categorical Data

Sampling

● Random sample

● Point estimate of a parameter

● Concept of bias and standard error of an estimate

● Tests of significance based on Chi- square

● Testing for the mean and variance of Univarite

● Sample tests

● Use of central limit theorem for testing and interval estimation

● Fisher’s Z transformation

● Non- Parametric tests

● Wilcoxon- Mann- Whitney test

● Run- test

● Median- test

Sample Surveys

● Concept of population and sampling

● Census and sample survey

● Sample selection

● Sample size

● Non-Sampling error

● Simple random sampling

● Stratified random sampling

● Systematic sampling

Linear programming

● Elementary theory of convex sets

● General linear programming problems (LPP)

● Graphical and simplex method of solving LPP

● Transportation Problems

● Assignment problems

Introduction to computers

● Basic set of an electronic computer

● CPU

● Input devices

● Output devices

● Need of computers in statistics

● Binary number system

● Machine

● Language

● Basic commands to operate a computer

● Ms- Office Tools

Demographic Methods

● Sources of demographic data

● Measurement of mortality

● Measurement of fertility

● Economic statistics

● Index number

● Simple aggregative methods

● Weighted average methods

● Lasperey’s, Passche’s and Fisher’s index numbers

Time series Analysis

● Economic time series

● General theory of control charts

● Process control chars for variables (X, R and S Charts)

● Control chart for attributes (np, p and c charts)

● Hypothesis

● Statistical hypothesis

● Simple and composite hypothesis

● Statistical hypothesis

● Null and alternative hypothesis

● Parameter models

● Parameter space

● Point Estimation

● Interval estimation

● Concepts of confidence interval and confidence coefficient.