Open AccessComparison of kernel density function in detecting effects of daily emission of Sulphur (IV) oxide from an industrial plant
Author(s) -
Siloko Israel Uzuazor,
Ejakpovi Simeon Uyovwieyovwe,
Ukhurebor Kingsley Eghonghon,
Siloko Edith Akpevwe,
Ishiekwene Cyril Chukwuka
Publication year - 2022
Publication title -
the ethiopian journal of science and technology/ethiopian journal of science and technology
Language(s) - English
Resource type - Journals
eISSN - 2312-6019
pISSN - 1816-3378
DOI - 10.4314/ejst.v15i1.4
Subject(s) - estimator , kernel (algebra) , smoothing , kernel density estimation , nonparametric statistics , statistics , kernel smoother , mathematics , gaussian function , mean squared error , nonparametric regression , bandwidth (computing) , kernel regression , gaussian , econometrics , kernel method , computer science , chemistry , machine learning , telecommunications , support vector machine , computational chemistry , combinatorics , radial basis function kernel
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.