COMPARISON OF PARAMETER ESTIMATION METHODS FOR EXTREME VALUE DISTRIBUTIONS
Bibliographic Information
- Other Title
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- 極値分布の母数推定法の比較評価
- キョクチ ブンプ ノ ボスウ スイテイホウ ノ ヒカク ヒョウカ
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Abstract
This paper compares parameter estimation methods for the Gumbel distributionand the generalized extreme-value (GEV) distribution by using the Monte Carlosimulation technique with changing sample size N=10, 20, …, 1000.The methods considered for the Gumbel distribution are the methods ofmoments (MoM), maximum likelihood estimation (MLE), probability weightedmoments (PWM), least-squares (LS) with the Weibull or the Hazen plottingformula, and maximum entropy principle (PME). In terms of the root mean squareerror (RMSE) of the quantile estimates, the MLE is the best among these. ThePWM gives the least biased estimation, followed by the MoM, PME and MLE. Thedifference of these is small. For the GEV distribution, the MoM, MLE and PWM arecompared. In terms of both the RMSE and bias the PWM is the best.
Journal
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- Disaster Prevention Research Institute Annuals. B
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Disaster Prevention Research Institute Annuals. B 32 (B-2), 455-469, 1989-04-01
京都大学防災研究所
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Details 詳細情報について
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- CRID
- 1050282677086895744
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- NII Article ID
- 120001178525
- 20000417216
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- NII Book ID
- AN00027784
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- ISSN
- 0386412X
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- HANDLE
- 2433/72204
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- NDL BIB ID
- 3649658
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- Text Lang
- ja
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB
- NDL
- CiNii Articles