Indian Statistical Institute Scientific Assistant A Economics
Economics – Theory of consumer behaviour, Theory of production, Market structure under perfect competition, Monopoly, Price discrimination, Duopoly with Cournot and Bertrand competition, Public Goods, Externalities.
Mathematics – Algebra – Bionomial theorem, AP, GP Series, Permutations and combinations, Theory of quadratic equations.
Linear Algebra – Vector spaces, Linear transformations, Matrix representations and elementary operations, Systems of linear equations.
Calculus – Functions, Limits, Continuity, Differentiation of functions of one or two variables, Unconstrained optimization, Definite and indefinite integrals, Integration by parts and integration by substituion.
Elementary Statistics – Elementary probability theory, Measures of central tendency, Dispersion, Correlation and regression, Probability distributions, Standard Distributions, Binomial and Normal, Expectation and variance, Joint, conditional and marginal distributions, Distribution of function of a random variable, Multiple regression model (autocorrelation, multicollinearity, specification b ias, exogeneity, and instrumental variables), Time series analysis (stationarity and ARMA model); Estimation, Testing of hypothesis, Sample survey (SRS, stratified, cluster).
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