Multiple Linear Regression Model With Stochastic Design Variables

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Abstract

In a simple multiple linear regression model, the design variables have traditionally been assumed to be non-stochastic. In numerous real-life situations, however, they are stochastic and non-normal. Estimators of parameters applicable to such situations are developed. It is shown that these estimators are efficient and robust. A real-life example is given.

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Keywords

Correlation Coefficient, Least Squares, Linear Regression, Modified Maximum Likelihood, Multivariate Distributions, Non-Normality, Random Design

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Islam, M.Q., Tiku, M.L. (2010). Multiple linear regression model with stochastic design variables. Journal of Applied Statistics, 37(6), 923-943. http://dx.doi.org/10.1080/02664760902939612

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12

Volume

37

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6

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923

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943
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13

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8

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