2017/11/30 by Ali Saeb, Saeb, Ali
Economics, Econometrics and Finance · Environmental Science · Mathematics · Social Sciences · #60G70 #62H10 #Applications (stat.AP) #FOS: Computer and information sciences #Financial Risk and Volatility Modeling #Hydrology and Drought Analysis #Insurance and Financial Risk Management #Insurance, Mortality, Demography, Risk Management #Statistical Distribution Estimation and Applications #msc:60G70 #msc:62H10 #stat.AP
paper · pdf · doi:10.48550/arxiv.1711.11399
arxiv created 2017/11/30 · openalex publication_date 2017/11/30 · arxiv updated 2017/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Similar to the generalized extreme value (GEV) family, the generalized extreme value distributions under power normalization are introduced by Roudsari (1999) and Barakat et al. (2013). In this article, we study the asymptotic behavior of GEV laws under power normalization and derive expressions for the kth moments, entropy, ordering in dispersion, rare event estimation and application of real data set. We also show that, under some conditions, the Shannon entropy and variance of GEV families are ordered.