ISS SYLLABUS 2014 & ONWARDS Indian Statistical Service Exam Syllabus 2014 & Onwards Indian Statistical Service - ISS Exam Syllabus Scheme of Examination Part-I :Candidates are required to appear in the following papers of conventional type papers. For Indian Statistical Service (a) General English : 150 Marks (b) General Studies: 150 Marks (c) StatisticsI : 200 Marks (d) Statistics-II: 200 Marks (e) Statistics-III: 200 Marks Part II : Interview for Personality Test: 250 Marks Syllabi Statistics-I (i) Probaility Elements of measure theory, Classical definitions and axiomatic approach. Sample space. Class of events and Probability measure. 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, hypergeometric, multinomial, Laplace, negative binomial, beta, gamma, lognormal and compound. Poisson distribution. Joint distributions, conditional distributions, Distributions of functions of random variables. 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. Borel 0-1 law: Kolmogorovs 0-1 law. Tchebycheffs and Kolmogorovs inequalities. Laws of large numbers and central limit theorems for independent variables. (ii) Statistical Methods Collection, compilation and presentation of data, Charts, diagrams and histogram. Frequency distribution. Measures of location, dispersion, skewness and kurtosis. Bivariate and multivariate data. Association and contingency. Curve fitting and orthogonal polynomials. Bivariate normal distribution. regression-linear, polynomial. Distribution of the correlation coefficient, Partial and multiple correlation, Intraclass correlation, Correlation ratio. Standard errors and large sample test. Sampling distributions of x,s2, t, chi-squre and F; tests of significance based on them, Small sample tests. Non-parametric tests-Goodness of fit, sign, median, run, Wicloxon, Mann-Whitney, Wald-Wolfowitz and Kolmogorov-Smirnov. Rank order statistics-minimum, maximum, range and median. Concept of Asymptotic relative effciency. iii) Numerical Analysis Interpolation formulae (with remainder terms) due to Lagrange, Newton-Gregory, Newton Divided different, Gauss and Striling. Euler-Maclaurins summation formula. Inverse interpolation. Numerical integration and differentiation. Difference equations of the first order. Linear difference equations with constant coefficients. Statistics II i) Linear Models Theory of linear estimation. Gauss-Markoff setup. Least square estimators. Use of g-inverse. analysis of one-way and two way classified data-fixed, mixed and random effect models. Tests for regression coefficients. ii) Estimation Characteristics of good estimator. Estimation methods 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. factorisation theorem. Complete statistics. Rao-Blackwell theorem. Confidence interval estimation. Optimum confidence bounds. iii) Hypotheses testing Hypothesis testing: 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 test. Randomised test. Likelihood ratio test. Walds SPRT, OC and ASN functions. Elements of decision and game theory. iv) Multivariate Analysis Multivariate normal distribution. Estimation of mean Vector and covariance matrix. Distribution of Hotellings T2-statistic, Mahalanobiss D2-statistic, and their use in testing. Partial and multiple correlation coefficients in samples from a multivariate normal population. Wisharts distribution, its reproductive and other properties. Wilks criterion. Discriminant function. Principal components. Canonical variates and correlations. Statistics III i) Sampling Techniques Census versus sample survey. Pilot and large scale sample surveys. Role of NSS organisation. Simple random sampling with and without replacement. Stratified sampling and sample allocations. Cos and Variance functions. Ratio and Regression methods of estimation. Sampling with probability proportional to size. Cluster, double, multiphase, multistage and systematic sampling. Interpenetrating sub-sampling. Non-sampling errors. ii) Economic Statistics 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 prices 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. Role of CSO. iii) Optional Paper : Choose one paper among the four optional papers : (1) Econometrics Theory and analysis of consumer demand-specification and estimation of demand functions. Demand elasticities. Structure and model. Estimation of parameters in single equation model-classical least squares, generalised least-square, heteroscedasticity, serial correlation, multi-collinearity, errors in variable model. Simultaneous equation models-Identification, rank and other conditions. Indirect least squares and two stage least squares. Short-term economic forecasting. (2) Design and Analysis of Experiments Principles of design of experiments. Layout and analysis of completely randomised, randomised block and Latin square designs. Factorial experiments and confounding in 2n and 3n 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. (3)SQC & Operations Research Statistical Quality Control: Control Charts for variable and attributes. Acceptance Sampling by attributes-Single, double, multiple and sequential Sampling plans; Concepts of AOQL and ATI; Acceptance Sampling by variables-use of Dodge-Romig and other tables. Elements of linear programming. Simplex procedure. Pirnciple of duality. Transport and assignment problems. Single and multi-period inventory control models. ABC analysis. General simulation problems. Replacemnet models for items that fail and or items that deteriorate. (4) Demography and Vital Statistics The life table, its constitution and properties. Makehams and Gompertz curves. National life tables. UN model life tables. Abridged life tables. Stable and stationary populations. Different birth rates. Total fertility rate. Gross and net reproduction rates. Different mortality rates. Standardised death rate. Internal and international migration: net migration. International and postcensal estimates. Projection method including logistic curve fitting. Decennial population census in India.
Posted on: Wed, 20 Nov 2013 12:25:20 +0000
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