DOI: 10.1007/s11069-021-04654-4
论文题名: Parameter estimation of the Pareto distribution using least squares approaches blended with different rank methods and its applications in modeling natural catastrophes
作者: Hussain S. ; Bhatti S.H. ; Ahmad T. ; Shehzad M.A.
刊名: Natural Hazards
ISSN: 0921030X
出版年: 2021
卷: 107, 期: 2 起始页码: 1693
结束页码: 1708
语种: 英语
中文关键词: Estimation
; Graphical methods
; Least squares method
; Modeling natural catastrophes
; Relative least squares method
; Weighted least squares method
英文关键词: computer simulation
; graphical method
; least squares method
; maximum likelihood analysis
; Monte Carlo analysis
; numerical model
; parameter estimation
英文摘要: The current article evaluates least-squares-based approaches for estimating parameters of the two-parameter Pareto distribution. The algebraic expressions for least squares (LS), relative least squares (RLS) and weighted least squares (WLS) estimators are derived by generating empirical cumulative distribution function (CDF) using mean rank, median rank and symmetrical CDF methods. The performance of the estimation approaches is evaluated through Monte Carlo simulations for different combinations of parameter values and sample sizes. The performance of the regression-based methods is then compared with one another and with the traditional maximum likelihood (ML) estimation method. Our simulation results unveil that among the regression-based methods, RLS has an improved or better performance compared to the other two regression-based approaches for samples of all sizes. Moreover, RLS performs better than the ML method for small samples. Among the rank methods used for generating empirical CDF, it is observed that the mean rank method outperformed other two rank methods. The simulation results are further corroborated by the application of all the methods on two real-life datasets representing damages caused by natural catastrophes. © 2021, The Author(s), under exclusive licence to Springer Nature B.V. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/169086
Appears in Collections: 气候变化与战略
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作者单位: Department of Statistics, Government College University, Dr. Zakir Hussain Block, Allama Iqbal Road, Faisalabad, Pakistan; Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan
Recommended Citation:
Hussain S.,Bhatti S.H.,Ahmad T.,et al. Parameter estimation of the Pareto distribution using least squares approaches blended with different rank methods and its applications in modeling natural catastrophes[J]. Natural Hazards,2021-01-01,107(2)