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Aiming Pareto Optimality
Introductory Statistics for Economics
Learn from Former Delhi University Professor
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Complete syllabus covered AS PER DU

Written Notes Provided in PDF Format

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Previous Year Question Papers Discussed

24 x 7 Doubt Resolution

Mock Tests Provided

Important Questions from Chapter Covered
Unit  1
Introduction and Overview
The distinction between populations and samples and between population parameters and sample statistics. Pictorial Methods in Descriptive Statistics; Measures of Location and Variability.
Devore: Ch 1
Unit  2
Elementary Probability Theory
Sample spaces and events; probability axioms and properties; counting techniques; conditional probability and Bayes’ rule; independence
Devore: Ch 2 Hogg, Tanis and Zimmerman: Ch 1
Unit  3
Random Variables and Probability Distributions
Defining random variables; probability distributions; expected values and functions of random variables.
Devore: Ch 3 (3.13.3), Ch 4 (4.14.2) Hogg, Tanis and Zimmerman: Ch 2 (2.12.2), Ch 3.1
Unit  4
Sample Distributors
Sample Distributions Properties of commonly used discrete and continuous distributions (uniform, binomial, exponential, Poisson, hypergeometric and Normal random variables).
Devore: Ch 3 (3.43.6) except negative binomial distribution, Ch 4 (4.34.4) except gamma distribution Hogg, Tanis and Zimmerman: Ch 2 (2.4, 2.5 and 2.7), Ch 3 (3.23.3) except gamma and chisquare distributions (MGF treatment of distributions is not included)
Unit  5
Random sampling and jointly distributed random variables
Density and distribution functions for jointly distributed random variables; computing expected values of jointly distributed random variables; conditional distributions and expectations, covariance and correlation.
Devore: Ch 5.15.3 (except pgs 200202), 5.4, 5.5 Hogg, Tanis and Zimmerman: Ch 4 (4.14.4) [Double integration can be kept simple]
References Books
1. Devore, J. (2012). Probability and Statistics for Engineers, 8th ed. Cengage Learning.
2. Hogg, R., Tanis, E., Zimmerman, D. (2021) Probability and Statistical inference, 10th Edition, Pearson.
3. Miller, I., Miller, M. (2017). J. Freund's Mathematical Statistics with Applications, 8th ed. Pearson.
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