Undergraduate Program

Course Credit: 4

Introduction, Measurement scales and variable, Data Classification, Data presentation in Tables, Graphical presentation of data, Characteristics of statistical data, Exploratory data analysis, Correlation analysis, The simple regression.

Course Credit: 4

Elements of set theory, Elements of probability, Basic concepts of probability, Random variable and its probability distribution, Mathematical expectation, Some basic distributions.

Course Credit: 2

Preliminaries in sample survey, Basic concepts.

Course Credit: 2

Set Theory, The Real number system, Elementary number theory, Summation of finite series, Theory of equations, Geometry.

Course Credit: 4

Vector-valued functions of a single variable, Partial differentiation, Taylor’s formula (in one and in several variables).

Course Credit: 4

Vector and Vector Set, Vector spaces, Determinants, Matrices, Inverse of a matrix, System of linear equations, Generalised inverses (g-inverses), Kronecker sum and product of matrices, Quadratic forms, Matrices of special types.

Course Credit: 4

Basic Concepts, Demand and supply, Elasticity, Consumer behaviour and utility, The indifference curve analysis, Theory of income distribution.

Course Credit: 2

Data manipulation and transformation, Computing descriptive statistics

Course Credit: 2

Introduction to Statistics, Exploratory data analysis, Elementary sample survey, Drawing random sample

Course Credit: 2

Viva voce

Course Credit: 4

Concept of statistical inference, Methods of finding Point estimators, Criteria of a good estimator, Sufficiency, Interval estimation.

Course Credit: 4

Review, Sampling distributions, Different methods of finding sampling distribution, Exact Sampling distributions, Order Statistics.

Course Credit: 3

Basic Concepts of Population Studies, Sources of demographic data, Demographic rates and ratios, Population change, Fertility and reproduction, Mortality, Marriage, Migration.

Course Credit: 4

Theory of Firms, Market mechanism, Cost of Production, Pricing of the factors of production, Distribution of Income, National Income, Index Numbers.

Course Credit: 3

Linear Programming, Game Theory, Integer Linear Programming, Inventory Models, Transportation Problem, Network Models.

Course Credit: 3

Group-A: Differential Equations, Group-B: Analytical Geometry

Course Credit: 4

Group A: Numerical Mathematics, Group B: Advanced Calculus

Course Credit: 3

Course Credit: 3

Introduction, Using R, Vectors, Objects, Matrices, List and data frames, Control statements in R, Writing new R functions, Importing data in R, Statistical analyses, Probability distribution, Numerical Mathematics

Course Credit: 2

Course Credit: 2

Viva voce

Course Credit: 4

Preliminaries of tests, Common tests of hypothesis, Association of attributes, Evaluation of tests, Likelihood Ratio Test, Sequential Probability Ratio Test, Non-Parametric Tests.

Course Credit: 4

Simple random sampling, Systematic Sampling, Stratified Sampling, Ratio & Regression estimation, Cluster sampling, Sample size.

Course Credit: 4

Fitting a straight line by Least Squares, Checking the straight line fit, Simple Linear Regression in Matrix Notation, Multiple Linear Regression, Extra Sums of squares and Tests, More on checking fitted models, Multiple regression- special topics, Transformation of independent variables, Transformation of the response variable, Indicator/Dummy variable, Selecting the “Best” regression equation, Ridge regression, Orthogonal polynomials

Course Credit: 4

Epidemiologic Concepts, Types of Epidemiologic Research, Measures of Disease Frequency, Measures of Association, Measures of Potential Impact, Diagnostic Testing, Validity, Stratified Analysis, Matching, Interaction, Effect Modification and Synergism,

Course Credit: 3

Elementary concepts of industrial statistics, Statistical quality control, Official statistics

Course Credit: 3

Errors in demographic data, Standardization of demographic measures, Life table, Population Models, Nuptiality, Population Projection, Actuarial Statistics, Economics of insurance, Individual short-term risk models

Course Credit: 3

Introductory Examples of Simulation, Estimation, and Graphics; Generators, Generating random samples, Monte Carlo methods, Variance reduction techniques, Screening Tests, Metropolis algorithm, Markov chains and Gibbs sampler,

Course Credit: 2

Basic concepts of ANOVA, ANOVA Techniques, Hierarchical Classification, Linear Inference, Variance-Component Analysis, ANOVA Theorem.

Course Credit: 4

Research and methods, Research Design, Data collection methods and techniques, Qualitative data collection, PRA methods, FGD methods, Measurement of reliability and validity of data, Research Proposal Writing, Research Report Writing, Research Communication, Bibliography and Quotation, Monitoring and Evaluation, Logical Framework in Research Project, Ethics in Research

Course Credit: 3

Introduction to SAS, Introduction to STATA

Course Credit: 2

Regression Analysis, Industrial Statistics

Course Credit: 2

Viva Voce

Course Credit: 3

Introduction, Multivariate distributions, Distribution of quadratic forms, Inference about a Mean Vector, Comparisons of Several Multivariate Means, Multivariate Linear Regression Models

Course Credit: 3

Fundamental concepts, Stationary time series models, Moving average processes, Nonstationary time series models, Autoregressive integrated moving average (ARIMA) models, Forecasting, Model identification, Parameter estimation, diagnostic checking and Model selection, Seasonal time series models, Testing for a unit root.

Course Credit: 3

Basic concepts of Experiments and designing, Experimental Units, Basic Experimental designs, Multiple Comparison, Missing plot techniques, Factorial Experiments, Experiments with Random Factors

Course Credit: 4

Concepts, Measures of Model Adequacy, Model Misspecification, Regression with Qualitative dependent variable, Generalized least squares (GLS), Multicollinearity, Autocorrelation, Heteroscedasticity, Simultaneous equation models, Identification, Nonlinear Regression Models, Dummy variable regression models, Time Series Econometrics.

Course Credit: 3

Basic Concepts of Lifetime Distributions, Important Lifetime Distributions, Estimation and Test, Incomplete Data, Parametric Methods, Non-parametric Methods, Comparison of Survival Curves,

Course Credit: 3

Markov Chain, Homogeneous Markov Process, Queuing Process,

Course Credit: 3

Introduction to GLMs, Inference for GLMs, Models for categorical responses, Models for Count Data,

Course Credit: 4

Course Credit: 2

Experimental Design, Multivariable Analysis,

Course Credit: 2

Survival Analysis, Time Series Analysis,

Course Credit: 2

Econometrics, Generalized Linear Models,

Course Credit: 2

Organization of Project group, Conducting a project, Evaluation of Project

Course Credit: 2

Viva voce