Applying the skew-normal distribution to model coherent MPI and to evaluate its impact on PAM signals

Cancela, Luís; Pires, Joana

doi:10.1016/j.yofte.2020.102180

Cited by 3 publications

(1 citation statement)

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“…Some skewed symmetric distributions have been studied, for example, by Arnold and Beaver [1], Gupta et al [2], Wang et al [3], Azzalini [4], and Arellano-Valle and Azzalini [5]. e motivation originates from the analysis of real-life data, including financial, environmental, and medical data whose distributions often do not follow the normal law (see as reported in Azzalini et al [6], Bartoletti and Loperfido [7], Adcock et al [8], Hossain and Beyene [9], and Cancela and Pires [10]). It is thus necessary to find and study from the theoretical and practical points of view distributions that can better model skewed or heavy-tailed data.…”

Section: Introductionmentioning

confidence: 99%

The Slash Power Normal Distribution with Application to Pollution Data

Chen

Leung

2022

Mathematical Problems in Engineering

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In this paper, we introduce a new slash distribution via the power normal distribution and uniform distribution. This new distribution, called the slash power normal distribution, models more appropriately the skewness and kurtosis of data than the power normal distribution. Moreover, the probability density function and the cumulative distribution function of the slash power normal distribution are derived and the density function curves with different parameters are given. We also study the basic properties of the moments, derive the maximum likelihood estimation of the parameters, and substantiate our arguments with numerical simulations. Finally, we model hourly measurements of sulphur dioxide concentrations of a station in Hong Kong by the slash power normal distribution, power normal distribution, and skew normal distribution and use the K-S test to evaluate the model fittings. The result demonstrates that the slash power normal distribution gives a better fit to the data.

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