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Selection of the Best Method to Estimate the Parameters of the Two-Parameter Weibull Distribution
https://jaxa.repo.nii.ac.jp/records/44906
https://jaxa.repo.nii.ac.jp/records/449060d77b00f-12ae-48cf-86f9-e6b48e9e9e02
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
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| Item type | テクニカルレポート / Technical Report(1) | |||||||||||
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| 公開日 | 2015-03-26 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Selection of the Best Method to Estimate the Parameters of the Two-Parameter Weibull Distribution | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_18gh | |||||||||||
| 資源タイプ | technical report | |||||||||||
| その他のタイトル | ||||||||||||
| その他のタイトル | 2母数ワイブル分布における最良母数推定法の選択 | |||||||||||
| 著者 |
下河, 利行
× 下河, 利行
× SHIMOKAWA, Toshiyuki
× KECECIOGLU, D.B.
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| 著者所属 | ||||||||||||
| 航空宇宙技術研究所機体第二部 | ||||||||||||
| 著者所属 | ||||||||||||
| アリゾナ大学 | ||||||||||||
| 著者所属(英) | ||||||||||||
| en | ||||||||||||
| Second Airframe Division, National Aerospace Laboratory(NAL) | ||||||||||||
| 著者所属(英) | ||||||||||||
| en | ||||||||||||
| The University of Arizona | ||||||||||||
| 出版者 | ||||||||||||
| 出版者 | 航空宇宙技術研究所 | |||||||||||
| 出版者(英) | ||||||||||||
| 出版者 | National Aerospace Laboratory(NAL) | |||||||||||
| 書誌情報 |
航空宇宙技術研究所報告 en : Technical Report of National Aerospace Laboratory TR-650 巻 650, p. 12, 発行日 1981-01 |
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| 抄録(英) | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | This paper attempts to identify the best method of estimating the parameters of the two-parameter Weibull distribution using data from complete samples. Various methods of estimating the Weibull parameters have been proposed, but adequate criteria have not been developed to allow the user to jedge which method is the optimum. In several papers comparing the biases and expected losses in the estimators of the Type I extreme value distribution have been used. However, the two parameters are simultaneously estimated from a sample, not separately one by one, and these estimates are used in the Weibull distribution. This paper uses the concepts of the Kolmogorov-Smirnov and chi-square goodness-of-fit tests, as well as the biases and expected losses of estimators in the Weibull and Type I extreme value distributions, as criteria to select an appropriate method. Monte Carlo simulation provides sets of 2000 complete samples for each combination of sample sizes n=3, 6, 10 and 20, and shape parameters β=0.5, 1, 3, and 10. The eight methods of three kinds of graphical plotting techniques, two kinds of moments methods, maximum-likelihood estimation, and two kinds of linear estimation techniques are compared. This investigation concludes the best linear unbiased estimators (BLUE) to be the best among the eight methods for general use, and recommends median ranks for probability paper plotting. | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 0389-4010 | |||||||||||
| 資料番号 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | 資料番号: NALTR0650000 | |||||||||||
| レポート番号 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | レポート番号: NAL TR-650 | |||||||||||