Multiple nonlinear regression of the Markovian arrival process for estimating the daily global solar radiation

Mohammed El Genidy

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 22, 5427-5444

Abstract: Solar radiation is a global ecological phenomenon that affects life everywhere. In this study, a new statistical method, called the Quartiles-Moment's method, is proposed to estimate the scale and shape parameters of the exponentiated Gumbel maximum distribution (EGMD). The Kolomogorov–Smirnov test and the percentiles of the dataset are thus used to fit the dataset of the daily global solar radiation and the corresponding daily maximum temperature with EGMD. Thence, multiple nonlinear regression of the daily global solar radiation and the corresponding daily maximum temperature are produced and compared with the real dataset accordingly.

Date: 2019
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DOI: 10.1080/03610926.2018.1517890

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