2 articles for “Monotonicity Problem”

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Research ArticleOpen accessIn the keywordsQuantile Regression Estimation Using Non-Crossing ConstraintsIlaria Lucrezia AmeriseIn this article we are concerned with a collection of multiple linear regressions that enable the researcher to gain an impression of the entire conditional distribution of a response variable given a set of explanatory variables. More specifically, we investigate the advantage of using a new method to estimate a bunch of non-crossing quantile regressions hyperplanes. The main tool is … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 15 May 2018 · 7,700 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Measure of Monotonicity of two Random VariablesFarida Kachapova, Ilias KachapovProblem statement: When analyzing random variables it was useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing coefficients measure general or linear dependence of random variables. Developing a measure of monotonicity was useful for practical applications as well as for general theory, since monotonicity was an important type … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 26 May 2012 · 8,692 accessesView PDF Cite