Research articles
ScienceAsia 49 (2023):ID 377-385 |doi:
10.2306/scienceasia1513-1874.2023.003
Extremal properties of moment for generalized gamma
distribution
Jianwen Huanga,*, Xinling Liub
ABSTRACT: In this paper, we consider the asymptotic behaviors of moment for normalized extreme of the generalized
gamma distribution. Under optimal norming constants, we establish higher-order expansion of moment for the
maximum. The expansion is used to deduce the rate of convergence of the moment for normalized partial maximum
to the moment of the associating extreme value limit. Numerical simulations are given to sustain the results of our
findings.
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| a |
School of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741001 China |
| b |
School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002 China |
* Corresponding author, E-mail: hjw1303987297@126.com
Received 22 Feb 2022, Accepted 20 Oct 2022
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