تقدير مَعْلَمَات انموذج انحدار kink بوجود مشكلة الأبعاد العالية مع تطبيق عملي

Zahraa Karim, Bassim Shulaiba
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Abstract

Kink regression is one of the event topics that research has focused on recently because of its importance, which emerges from its association with the subject of continuity of regression, but there is a scarcity of them in Iraq, as this regression is characterized by the division of its parameters into two parameters, one of which is before and after the kink cut-off point, making the number of explanatory variables double according to the presence of the kink cut-off point in one or more explanatory variables, and this double number may cause the number of explanatory variables in the kink regression model to be larger of the sample size (n
评估kink坡度模型的参数,在实际应用中存在高维度问题
扭结回归是最近研究集中的事件主题之一,因为它的重要性来自于它与回归连续性主题的联系,但伊拉克缺乏这种回归,因为这种回归的特点是将其参数分为两个参数,其中一个是扭结截止点之前和之后,做解释性变量双的数量根据扭结分界点的出现在一个或多个解释变量,这双数量可能会导致扭结回归模型中的解释变量的数量更大的样本量(n< p)或数量的起源的解释变量数据大于扭结的样本大小,在这两种情况下高维度模型中出现的问题,在这种情况下,扭结回归模型被称为高维扭结回归(HDKR)。在本研究中,提出了惩罚最小二乘法(PLS)方法,除了研究者建议使用的Elastic-net惩罚函数外,还采用LASSO惩罚、SCAD惩罚、Minimax凹惩罚(MCP)等不同的惩罚函数来估计(HDKR)模型的参数。通过将PLS方法应用于巴格达软饮料公司与市场价值相关的真实数据及其影响变量(会计数据),并采用均方误差的尺度对模型进行比较,发现基于惩罚函数Elastic - net的PLS方法在选择和估计方面是最有效的。
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