Dependencies: None

Syllabus: Planning of surveys, questionnaire designing, methods of data collection, fieldwork procedures, Pilot surveys, Sources of errors, Non-response.

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Theory of sample Surveys by M.E. Thompson, How to conduct your own Survey by P. Salant & D. A. Dillman

Dependencies: None

Syllabus: Train students in analysing real/simulated data using the statistical packages SPSS & R. The emphasis will be on applications of statistical theory covered in semester I. Train students in report writing.

Evaluation Criteria: Continuous assessments

Dependencies: None

Syllabus: Basic elements of experimental design: experimental unit, treatments, replication, randomization; homogeneous experimental units: completely randomized design with one-way and factorial treatment structures; blocking for increased precision: randomized complete block, Latin square and in-complete block, designs; factorial treatment designs; confounding and partial confounding; fractional replication; response surface designs; mixture experiments.

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: “Design of Experiments ; Statistical Principles of Research Design and Analysis” - 2nd Edition (2000) by Robert O. Kuehl.(Duxbury) Design and Analysis of Experiments (5th Edition) – 2002 by D.C. Montgomery (Wiley).

Dependencies: None

Syllabus: Introduction, one sample tests, randomization tests Wilcoxon’s one sample tests, Sign test, Sign Rank tests, Mann Whitney test, Simple Contingency tables, testing for independence, Fishers exact test, K.S.test, Kruskal-Wallis test, Friedman’s test

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Non Parametric Statistics by Sidney Siegal, N. john Castellan Practical Non Parametric Statistics by William Conover Non Parametric Statistical Test Based On Ranks by Lehnmann

Dependencies: IS2003

Syllabus: Continuation of Statistical Case Studies-I done in semester I. The emphasis will be on applications of statistical theory covered in semester II.

Evaluation Criteria: Continuous assessments

Dependencies: None

Syllabus: Sampling distributions, sampling from normal, central limit theorem; point estimation: bias and mean square error, unbiased estimation, evaluating goodness of an estimator; interval estimation: confidence intervals, sample size determination, small and large sample confidence intervals. properties of estimators: relative efficiency, consistency; method of moments and maximum likelihood; elements of testing; common large sample tests; type I and type II errors, testing hypotheses using critical value, confidence interval, and p-value approaches; small sample tests; power of tests; likelihood ratio tests.

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Introduction to Mathematical Statistics (6th Edition) – 2004. Hogg, Craig, and Mc Kean. Mathematical Statistics with Applications (6th Edition) – 2002. by Wackerly, Mandenhall, and Scheaffer. Probability and Statistics for Engineers and Scientists (7th Edition) by Walpole, Myer Myer, and Ye (Wiley).

Dependencies: None

Syllabus: Elementary Numerical methods and applications : Introduction to numerical methods, Taylor’s Theorem and its various forms. Different forms of numerical errors, orders of approximations, solution of non-linear equations and their applications in finance, interpolation techniques; polynomial interpolations, introduction to splines. Amortization schedules and Sinking funds : outstanding principal, amortization schedules, sinking funds, differing payment/interest conversion periods, varying series of payments. Bonds and other securities : types of securities, price of a bond, premium/discount, coupon payments, callable bonds, serial bonds, valuation of securities.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Survival distribution of life tables, Life insurance, Life annuities, Net premiums, Net premium reserves, Multiple life functions, Multiple decrement models, Valuation theory for pension plans.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Integration: Antiderivatives and indefinite integration, Intgration rules and integration by substitution, Riemann sums and definite integrals, Mean value theorem and Fundamental theorem of calculus. Application of integration, areas, volumes, arc length and surfaces of revolution. Transcendental functions: Differentiation and integration of logarithmic, exponential and hyperbolic functions, Applications - force of interest and force of death. Integration techniques: Integration by parts, trigonometric substitution and partial fractions, Improper integrals. Infinite series: Sequences and their limits, Infinite series and their convergence, The divergence test, Series of non-negative terms - Integral test, Comparison test, Ratio test and Root test. Alternating series – Absolute and conditional convergence. Power series – radius and interval of convergence, differentiation and integration. Taylor and Maclaurin series and their use for evaluation of limits.

Evaluation Criteria: End of semester examination

Dependencies: FM1005

Syllabus: Expected learning outcomes: Understanding of advanced topics in Mathematical Methods. Idea of well post ness of a problem, initial/boundary value problem(ODE), existence, uniqueness theorems(without proof) and related results, Matrices, Eigen values and related results, Fundamental matrices and their elementary properties, application in solving system of ordinary differential equations, Fourier series/transforms and their applications, calculus of variations, systems of linear equation and analytical method of solving them. Introduction to stochastic differential equations.

Evaluation Criteria: End of semester examination

Dependencies: FM1003

Syllabus: Numerical approximation of a derivative. Numerical solutions of Ordinary differential equations. One step methods, introduction to multi-step methods, definition of consistency, stability and convergence. Insurance mathematics: utility theory, utility and insurance, optimal insurance and insurance policies. Index numbers : introduction to price, volume and value relatives, linked and chain relatives, tests for index numbers, price/simple/simple aggregate index numbers and their properties.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Sampling Inspection; Examples and Definitions, Where, Why and When sampling Inspection, Classification of inspection plan. Acceptance Sampling; OC curve, ARL, Method of choosing sampling plans, some inspection schemes. Control Charts: Control charts for variables (X-bar chart, s chart, R chart etc), control charts for attributes (p chart, C chart, U chart) Cumulative Sum (CUSUM) Charts, Equal Weight Moving Average (EWMA)Charts, Individual value charts, Moving Average (MA)Charts. Process Capability Analysis.

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Introduction to Quality Control (5e) by Douglas Montgomery

Dependencies: None

Syllabus: Arguments with Sets and Venn diagrams. Decision theory and Group Decisions : Under uncertainity – various views and the study of risk, Under competition – competitive games. Input output models – Leontief open and closed, static and dynamic models. Stochastic matrices and determination of long run market shares of products. Inventory management and deterministic inventory models (static and dynamic models). Equipment selection and replacement methods (static and dynamic models).

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Arguments with Sets and Venn diagrams. Decision theory and Group Decisions : Under uncertainity – various views and the study of risk, Under competition – competitive games. Input output models – Leontief open and closed, static and dynamic models. Stochastic matrices and determination of long run market shares of products. Inventory management and deterministic inventory models (static and dynamic models). Equipment selection and replacement methods (static and dynamic models).

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Discussion on Hard OR (Classical OR / Quantitative methods) and Soft OR (Qualitative methods). Introduction to Soft OR. Qualitative Problem Structuring Methods and Modeling Interactive Decision Making processes : Strategic options development and analysis ( SODA), Soft system methodology (SSM), Strategic Choice (SC), simple and hyper games, etc..

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Introduction, The Marketing Research Process, Qualitative & Quantitative Research, Defining the problem, Questionnaire Design, Sampling Procedures, Measurements and Attitude Scaling., Significance testing procedures in market research,

Evaluation Criteria: End-of-semester examination (70%), Continuous assessments (30%)

Suggested Readings: Marketing Research by D.R. Lehmann, S. Gupta, J.H. Steckel Marketing Research, by Melvin Crask, Richard J. Fox, Roy Stout Marketing Research by David A. Aakar