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Probability Definitions

by Economics Live

The term probability has been interpreted in terms of four definitions : 1. Classical Definition of Probability: the classical definition states that if an experiment consists of ’’ outcomes that are mutually exclusive, exhaustive, and equally likely and  of them ate the favorable outcomes of an event A then the … read more

Categories Econometrics Tags probability, probability definitions Leave a comment

Assumptions of Classical Linear Regression Model

by Economics Live

Following are the assumptions underlying when we use method of Least Squares Assumption 1: Linear regression model The regression model is linear in the parameters i.e., Assumption 2: values are fixed in repeated sampling Values taken by the regressor are considered fixed in repeated samples. More technically, is assumed to … read more

Categories Econometrics Tags CLRM, Ecotrix, OLS, Ordinary least squares Leave a comment

Expected Values or Mathematical Expectations

by Economics Live

The expected value, or mean, of a random variable is a measure of the central location for the random variable. The formula for the expected value of a discrete random variable X follows.  The expected value of a discrete random variable X can be written as i.e., Properties of Mathematical … read more

Categories Econometrics Tags Ecotrix, mathematical expectations Leave a comment

Gauss – Markov Theorem / BLUE Properties

by Economics Live

Given the assumptions of the classical linear regression model, the least-squares estimators, in the class of unbiased linear estimators, have minimum variance, that is, they are BLUE. In other words, the Gauss-Markov theorem holds the properties of Best Linear Unbiased Estimators. Following are some of the assumptions that should be … read more

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