Application of Environmental Data with New Extension of Nadarajah-Haghighi Distribution

Abstract

The sin extension of the exponential (SExEx) or sin Nadarajah-Haghighi (SNH) distribution, a new extension of the exponential distribution with two parameters, is introduced and studied in this paper. For the SNH distribution, the hazard, survival functions and some sumarized data are explored. Methods for estimating the SNH distribution parameters using maximum likelihood estimation (MLE) and maximum product spacing (MPS) are explored. To compare various estimating techniques, a numerical analysis using Monte-Carlo simulation and real data analysis is carried out. Environmental data show how the new model is superior to some well-known distributions. In comparison to several well-known distributions, the SNH model can give better matches.