Parameter Estimation of Beta-Exponential Distribution Using Linear Combination of Order Statistics

Guan, Ruijie; Cheng, Weihu; Rong, Yaohua; Xu, Zhiyuan

doi:10.1007/s40304-022-00306-6

Commun. Math. Stat.

2023

DOI: 10.1007/s40304-022-00306-6

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Parameter Estimation of Beta-Exponential Distribution Using Linear Combination of Order Statistics

Ruijie Guan

Weihu Cheng

Yaohua Rong

et al.

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Grey parameter estimation method for extreme value distribution of short-term wind speed data

Lv,

Xiao

2024

MATH

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<abstract> <p>Accurate parameter estimation of extreme wind speed distribution is of great importance for the safe utilization and assessment of wind resources. This paper emphatically establishes a novel grey generalized extreme value method for parameter estimation of annual wind speed extremum distribution (AWSED). Considering the uncertainty and frequency characteristics of the parent wind speed, the generalized extreme value distribution (GEVD) is selected as the probability distribution, and the Weibull distribution is utilized as the first-order accumulation generating operator. Then, the GEVD differential equation is derived, and it is transformed into the grey GEVD model using the differential information principle. The least squares method is used to estimate the grey GEVD model parameters, and then a novel estimation method is proposed through grey parameters. A hybrid particle swarm optimization algorithm is used to optimize distribution parameters. The novel method is stable under different sample sizes according to Monte Carlo comparison simulation results, and the suitability for the novel method is confirmed by instance analysis in Wujiaba, Yunnan Province. The new method performs with high accuracy in various indicators, the hypothesis test results are above 95%, and the statistical errors such as MAPE and Wasserstein distance yield the lowest, which are 3.33% and 0.2556, respectively.</p> </abstract>

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Grey parameter estimation method for extreme value distribution of short-term wind speed data

Lv,

Xiao

2024

MATH

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show abstract

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Parameter Estimation of Beta-Exponential Distribution Using Linear Combination of Order Statistics

Cited by 1 publication

References 24 publications

Grey parameter estimation method for extreme value distribution of short-term wind speed data

Grey parameter estimation method for extreme value distribution of short-term wind speed data

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