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Author:

Liu, Aidi (Liu, Aidi.) | Cheng, Weihu (Cheng, Weihu.) | Guan, Ruijie (Guan, Ruijie.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, a novel skewed generalized normal distribution (NSGN), which encompasses several well-known distributions, is a two-component mixture model based on the generalized normal distribution. The NSGN distribution offers flexibility in modeling skewed data characterized by high kurtosis and strong skewness, making it highly applicable in finance, medicine, and engineering. The primary characteristics and properties of this new distribution are introduced, and the explicit expressions for the moments of order statistics are provided using recursive relations. The maximum likelihood estimation based on a profile likelihood approach, L-moments estimation, and a two-step estimation method combining Bayesian posterior maximum estimation with moment estimates are presented to estimate the four parameters of NSGN distribution. A simulation study compares the performance of these methods across different sample sizes and different parameters. The appropriateness of the proposed distribution has been tested by comparing it with several skewed distributions. Additionally, applications to real datasets showcase the beneficial properties of the NSGN for applied statistical research.

Keyword:

Order statistics L-moments estimation Profile likelihood approach Skewed generalized normal distribution Simulation study

Author Community:

  • [ 1 ] [Liu, Aidi]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Cheng, Weihu]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Guan, Ruijie]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Liu, Aidi]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China;;

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Source :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

Year: 2024

0 . 9 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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