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Regression Models

Michael Zabarankin and Stan Uryasev
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Michael Zabarankin: Stevens Institute of Technology
Stan Uryasev: University of Florida

Chapter Chapter 6 in Statistical Decision Problems, 2014, pp 71-87 from Springer

Abstract: Abstract In statistics, regression analysis aims to find the best relationship between a response random variable Y (regressant) and n independent variables $$x_{1},\ldots,x_{n}$$ (regressors) in the form $$\displaystyle{Y = f(x_{1},\ldots,x_{n})+\epsilon,}$$ based on m available simultaneous observations of $$x_{1},\ldots,x_{n}$$ and Y (regression data), $$x_{1j},\ldots,x_{nj}$$ , y j , $$j = 1,\ldots,m$$ , where ε is the approximation error.

Keywords: Quantile Regression; Robust Regression; Breakdown Point; Median Regression; Generalize Linear Regression (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-8471-4_6

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DOI: 10.1007/978-1-4614-8471-4_6

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