Comparison of kernel density function in detecting effects of daily emission of Sulphur (IV) oxide from an industrial plant

Siloko Israel Uzuazor, Ejakpovi Simeon Uyovwieyovwe, Ukhurebor Kingsley Eghonghon, Siloko Edith Akpevwe, Ishiekwene Cyril Chukwuka
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引用次数: 3

Abstract

Air pollution is a major concern of environmentalists because of the importance of air to man and other living organisms. This paper is about the investigation on the effects of daily emission of Sulphur (IV) oxide from an industrial pollutant using a nonparametric estimator which is the kernel estimator. Nonparametric estimators are free from distributional assumptions owing to the fact that most real-life data are not from a particular family of distribution. The functionality of this estimator is contingent on the smoothing parameter also called the bandwidth that determines the degree of the smoothness applied when analyzing the data. The bandwidth is extrapolated by minimizing the asymptotic mean integrated squared error which is the objective function of the kernel estimator. In this investigation, we selected some kernel functions of the beta family with the Gaussian kernel and obtained their bandwidths or smoothing parameters with respect to their distribution. The result of the analysis showed that an increase in number of tons of Sulphur (IV) oxide was associated with higher concentration level of the gas which suggests a potential danger of the gas to humans, animals and plants in the environment.
核密度函数检测工业厂房日排放硫(IV)氧化物效果的比较
空气污染是环境学家关注的主要问题,因为空气对人类和其他生物都很重要。本文利用核估计量,即非参数估计量,研究了某工业污染物日排放硫(IV)氧化物的影响。非参数估计不受分布假设的影响,因为大多数实际数据不是来自特定的分布族。这个估计器的功能取决于平滑参数,也称为带宽,它决定了分析数据时应用的平滑程度。带宽是通过最小化核估计器的目标函数渐近平均积分平方误差来外推的。在这项研究中,我们选择了一些具有高斯核的beta族核函数,并获得了它们的带宽或关于它们分布的平滑参数。分析结果显示,硫(IV)氧化物吨数的增加与该气体浓度的升高有关,这表明该气体对环境中的人类、动物和植物存在潜在危险。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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