General English:
Candidates will be required to write an essay in English. Other questions
will be designed to test their understanding of English and workmanlike use
of words. Passages will usually be set for summary or precise.
General Studies:
General Knowledge including knowledge of current events and of such matters
of everyday observation and experience in their scientific aspects as may
be expected of an educated
person who has not made a special study of any scientific subject. The paper
will also include questions on Indian Polity including the political system
and the Constitution of India, History of India and Geography of a nature,
which a candidate should be able to answer without special study.
General Economics-I
Theory of consumer's demand: Indifference curve analysis. Revealed preference
approach.
Theory of production: Factors of production. Production function. Laws of
return. Equilibrium of the firm and the industry.
Theory of value: Pricing under various forms of market organization. Public
utility pricing.
Theory of distribution: Pricing of factors of production. Theories of rent,
wages, interest and profit. Macro distribution theory. Adding up problem.
Inequalities in income distribution.
Welfare-economics: Old and new welfare economics. The compensation principle,
policy implications.
Concept of national income: Social accounting.
Theory of employment output and inflation the classical and neo-classical
approaches. Keynesian theory of employment. Post-Keynesian developments.
General Economics-II
Concept of economic growth and its measurement. Theories of growth.
Characteristics and problem of developing countries. Population growth and
economic development.
Planning: Concept and methods. Planning under capitalist and socialist forms
of economic organization. Planning in a mixed economy. Perspective planning.
Regional Planning. Investment criteria and choice of techniques.
International economics: Theories of international trade, gains from trade.
Terms of trade. Trade policy. International trade and economic development.
Theory of tariffs.
Balance of payments. Dis-equilibrium in balance of payments. Mechanisms of
adjustments. Foreign trade, mixltiplier. Exchange rates. Import and exchange
controls.
I.M.F. and international monetary reforms. GATT; International aid for economic
growth; I.B.R.D. and its affiliates.
Money: Its value and functions. Monetary policy, Functions of central and
commercial banks.
Fiscal Policy and its objectives: Theories of taxation and expenditure. Objectives
and effects of public expenditure. Effects and incidence of taxation. Deficit
financing. Theories of public debt.
Use of statistics in economics, statistical average and measure of dispersion.
Index numbers of prices and quantities-their limitations.
Indian Economics:
Basic features of the Indian Economy: Development strategy; Role of agriculture
and industry; Role of foreign trade; Concept of balanced growth.
Planning: Objective, priorities and problems. Five-Year Plans. Problems
of resources mobilization.
Agriculture: New agricultural strategy; land relations and land reforms;
rural credit, role of irrigation and fertilizer; agricultural marketing. Prices
of agricultural produce. Crop planning. Community development. Subsidiary
occupations and rural industries.
Cooperation: Its role in rural development.
Growth of cooperative movements in India:
Industry: Strategy of industrial development. Problems of location. Problems
of large and small-scale industries. Industrial policy. Industrial estates.
Sources of industrial finance. Role of foreign capital. Public Enterprises:
Organization, Management Control and Accountability. Price policy.
Labour: Employment, unemployment and underemployment Industrial relations
and labor welfare. Labor policy. Wages, prices and economic policy.
Foreign Trade: Salient features of India's foreign trade. Foreign trade
policy. State trading, Balance of payments.
Money and Banking: Organization of the Indian money market. Functioning
of the commercial banks and the Reserve Bank of India: Monetary policy.
Public Finance: Fiscal Policy, Growth of public expenditure. Tax policy.
Main sources of revenue of Union and State Governments. Public debt policy:
Deficit financing. Union State financial relations:
Statistics-I
Probability (40 per cent weight)
Elements of measure theory. Classical definitions and axiomatic approach.
Sample space. Laws of total and compound probability. Probability of m events
out of n. Conditional probability. Bayes' theorem. Random variables-discrete
and continuous. Distribution function. Standard probability distributions-Bernoulli,
uniform, binomial, Poisson, geometric, rectangular, exponential, normal, Cauchy,
hyper-geometric, multinomial, Laplace, negative binomial, beta, gamma, lognormal
and compound Poisson distribution, Convergence in distribution, in probability,
with probability. one and in mean square. Moments and cumulants, Mathematical
expectation and conditional expectation. Characteristic function and moment
and probability generating functions. Inversion, uniqueness and continuity
theorems. Tchebycheffs and Kolmogorov's inequalities. Laws of large numbers
and central limit theorems for independent variables.
Statistical Methods (45 per cent weight)
Collection, compilation and presentation of data, charts, diagrams and histogram.
Frequency distribution. Measures of location, dispersion and skewness. Bivariate
and multivariate data. Association and contingency. Curve fitting and orthogonal
polynomials. Bivariate distributions. Bivariate normal distribution. Regression-Linear,
polynomial. Distribution of the correlation coefficient. Partial and multiple
correlation. Intraclass correlation. Correlation ratio.
Standard errors and large sample tests. Sampling distributions of x; s2,
t, chi-square and F; tests of significance based on them.
Non-parametric test-sign; median, run, Wilcoxon, Mann- Whitney, Wald-Wolfowitz,
etc. Rank order Statistics-minimum, maximum range and median.
Numerical Analysis (15 per cent weight)
Interpolation formulae (with remainder terms) due to Lagrange, Newton-Gregory,
Newton (Dividend difference), Gauss and Stirling: Euler-Maclaurin's summation
formula. Inverse interpolation. Numerical integration and differentiation.
Difference equations, of their first order. Linear difference equations with
constant, Coefficients.
Statistics-II
Linear: Models (25 per cent weight)
Theory of linear estimation. Gauss-Markoff set up. Least square estimators.
Use of g-inverse. Analysis of one-way and two-way classified data-fixed, mixed
and random effect models. Test for regression coefficients.
Estimation (25 per cent weight)
Characteristics of a good estimator. Estimation method of maximum likelihood,
minimum chi-square moments, and least squares. Optimal -properties of maximum
likelihood estimators. minimum variance, unbiased estimators. Minimum variance
bound estimators. Cramer-Rao inequality. Bhattacharya bounds. Sufficient estimator.
Factorization theorem. Complete statistics Rao-Blackwell theorem. Confidence
interval estimation. Optimum confidence bounds.
Hypothesis Testing (25 per cent Weight)
Simple and composite hypothesis Two kinds of error. Critical region. Different
types of critical regions and similar regions. Power function. Most powerful
and uniformly most powerful tests. Neyman-Pearson fundamental lemma. Unbiased
pest. Randomized test. Likelihood ratio test. Wald's SPRT. OC and ASN functions.
Elements off decision and game theory.
Multivariate Analysis (25 per cent weight)
Multivariate normal distribution. Estimation of mean Vector and covariance
matrix. Distribution of Hotellings T2 statistics. Mahalanobis'
D2 statistics, partial and multiple correlation coefficients in
samples from a multivariate normal population. Wishart's distribution its
reproductive and other properties. Wilk's criterion. Discriminant function.
Principal components. Cononial variates and correlations.
Statistics-III
Part A (Compulsory for all)
Sampling Techniques (35 per cent weight)
Census versus sample survey. Pilot and large-scale sample surveys. Sample
random sampling with and without replacement. Strati8ed sampling and sample
allocations Cost and variance functions. Ratio and regression methods of estimation.
Sampling with probability proportional to size. Cluster double multi-phase,
multi-state and systematic sampling. Interpenetrating sub-sampling on-sampling
errors.
Economics Statistics (25 per cent weight)
Components of time series. Methods of their determination variate difference
method Yule-Slutsky effect. Correlogram. Autoregressive models of first and
second order. Periodogram analysis. Index numbers of pieces and quantities
and their relative merits. Construction of index numbers of wholesale and
consumer prices. Income distribution-Pareto and Engel curves. Concentration
curve. Methods of estimating national income. Inter-sectoral flows Inter-industry
table:
Part B (Candidates will be allowed option of answering questions on any
one of the following topics)
Statistical Quality Control and Operations Research (40 per cent weight)
Different kinds of control charts of variable and attributes.
Acceptance sampling by attributes-Single double, multiple and sequential
sampling plans. OC and ASN functions. Concept of AOQL and ATL. Acceptance
sampling by variable-use of dodge-Romig and other tables.
Operations research-approach elements of linear programming. Simplex procedure.
Transport and assignment problems. Principle of duality. Single and multi-period
inventory control models. ABC analysis. Characteristics of a waiting line
model. M/M/I, M/M/C models. General simulation problems. Replacement models
for items that fail and of items that deteriorates.
Demography and Vital Statistics (40 per cent weight)
The life table, its constitution and properties. Makehams and Gompertz curves.
National life tables. U.N. model life tables. Abridged life tables. Stable
and stationary populations. Different birth rates. Total fertility rate. Gross
and net reproduction rates. Different mortality rates. Standardized death
rate. Internal and international migration: net migration. International and
post censal estimates. Projection methods including logistic curve, fitting.
Decennial population census in India.
Design and Analysis of Experiments (40 per cent weight)
Principles of design of experiments. Layout and analysis of completely randomized,
randomized block and Latin square designs. Factorial experiments and confounding
in 2n and 38 experiments. Split plot and strip-plot
designs. Construction and analysis of balanced and partially balanced incomplete
block designs. Analysis of covariance. Analysis of non-orthogonal data. Analysis
of missing and mixed plot data.
Econometrics (40 per cent weight)
Theory and analysis of consumer demand-specification and estimation of demand
function. Demand elasticity's: Structure and model. Estimation of parameters
in single equation model-classical least squares generalized least-square,
heteroscedasticity, serial correlation multicollinearity errors in variable
model.
Simultaneous equation models-identification rank and other conditions. Indirect
least squares and two stages least squares short-term economic forecasting.