UPSC Statistics Syllabus 2020 for IAS Exam
UPSC Statistics Syllabus 2020 for the IAS exam is provided by UPSC through the Civil Service Exam Notification. Statistics is one of the many optional subjects that can be opted for the UPSC Civil Services Mains Exam. UPSC Statistics Syllabus for mains exam consists of two papers for 250 marks each. Therefore, making a total of 500 marks.
Detailed UPSC syllabus for statistics subject has been given below:
UPSC Statistics Syllabus - Paper I
1. Probability: Sample space and events, probability measure and probability space, random variable as a measurable function, distribution function of a random variable, discrete and continuous-type random variable, probability mass function, probability density function, vector-valued random variable, marginal and conditional distributions, stochastic independence of events and of random variables, expectation and moments of a random variable, conditional expectation, convergence of a sequence of random variable in distribution, in probability, in p-
2. Statistical Inference: Consistency, unbiasedness, efficiency, sufficiency, completeness, ancillary statistics, factorization theorem, exponential family of distribution and its properties, uniformly minimum variance unbiased (UMVU) estimation, Rao-Blackwell and Lehmann-Scheffe theorems,
Bayes estimators. Non-randomized and randomized tests, critical function, MP tests,
3. Linear Inference and Multivariate Analysis
Linear statistical models, theory of least squares and analysis of variance, GaussMarkoff theory, normal equations, least-squares estimates, and their precision, test of significance and interval estimates based on least-squares theory in oneway, two-way and three-way classified data, regression analysis, linear regression, curvilinear regression, and orthogonal polynomials, multiple regression, multiple and partial correlations, estimation of variance and covariance components, multivariate normal distribution, Mahalanobis-D2, and Hotelling s T2 statistics and their applications and properties, discriminant analysis, canonical correlations, principal component analysis.
4. Sampling Theory and Design of Experiment
An outline of fixed-population and
The Hansen-Hurwitz, and the Horvitz-Thompson estimators, non-negative variance estimation with reference to the Horvitz-Thompson estimator, non-sampling errors. Fixed effects model (two-way classification) random and mixed-effects models (two-way classification with equal observation per cell), CRD, RBD, LSD, and their analyses, incomplete block designs, concepts of orthogonality and balance, BIBD, missing plot technique, factorial experiments, and 2n and 32, confounding in factorial experiments, split-plot and simple lattice designs, transformation of data Duncan s multiple range test.
UPSC Statistics Syllabus - Paper II
1. Industrial Statistics
Process and product control,
2. Optimization Techniques
Different types of models in Operations Research, their construction and general methods of solution, simulation and Monte-Carlo methods formulation of linear programming (LP) problem, simple LP model and its graphical solution, the simplex procedure, the two-phase method and the M-technique with artificial variables, the duality theory of LP and its economic interpretation, sensitivity analysis, transportation and assignment problems, rectangular games, two-person zero-sum games, methods of solution (graphical and algebraic).
Replacement of failing or deteriorating items, group and individual replacement policies, the
3. Quantitative Economics and Official Statistics
Determination of the trend, seasonal and cyclical components, Box-Jenkins method, tests for stationary series, ARIMA models and determination of orders of autoregressive and moving average components, forecasting. Commonly used index numbersLaspeyre s, Paasche s and Fisher s ideal index numbers, chain-base index number, uses and limitations of index numbers, the
Consequences and solutions of multicollinearity, autocorrelation and its consequences, heteroscedasticity of disturbances and its testing, test for independence of disturbances, concept of structure and model for simultaneous equations, problem of identification-rank and order conditions of identifiability,
4. Demography and Psychometry
Demographic data from census, registration, NSS other surveys, their limitations and uses, definition, construction and uses of vital rates and ratios, measures of fertility, reproduction rates, morbidity rate, standardized death rate, complete and abridged life tables, construction of life tables from vital statistics and census returns, uses of life tables, logistic and other population growth curves, fitting a logistic curve
Population projection, a stable population, quasi-stable population, techniques in estimation of demographic parameters, standard classification by cause of death, health surveys and use of hospital statistics. Methods of standardization of scales and tests, Z-scores, standard scores,
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