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A new class of skew distributions with climate data analysis.

Content Provider	Europe PMC
Author	Bakouch, Hassan S. Cadena, Meitner Chesneau, Christophe
Copyright Year	2020
Abstract	In this paper, we develop a new general class of skew distributions with flexibility properties on the tails. Moreover, such class can provide heavy and light tails. Some of its mathematical properties are studied, including the quantile function, the moments, the moment generating function and the mean of deviations. New skew distributions are derived and used to construct new models capturing asymmetry inherent to data. The estimation of the class parameters is investigated by the method of maximum likelihood and the performance of the estimators is assessed by a simulation study. Applications of the proposed distribution are explored for two climate data sets. The first data set concerns the annual heat wave index and the second data set involves temperature and precipitation measures from the meteorological station located at Schiphol, Netherlands. Data fitting results show that our models perform better than the competitors.
Related Links	https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC9042114&blobtype=pdf
Page Count	23
ISSN	02664763
Volume Number	48
DOI	10.1080/02664763.2020.1791804
PubMed Central reference number	PMC9042114
Issue Number	16
PubMed reference number	35707257
Journal	Journal of Applied Statistics [J Appl Stat]
e-ISSN	13600532
Language	English
Publisher	Taylor & Francis
Publisher Date	2020-07-13
Access Restriction	Open
Rights License	© 2020 Informa UK Limited, trading as Taylor & Francis Group
Subject Keyword	Asymmetry skewed distribution stochastic representation heat wave index regression 60E05 62E15
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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