| Item type |
紀要論文 / Departmental Bulletin Paper(1) |
| 公開日 |
2023-03-30 |
| タイトル |
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|
タイトル |
A comparison of different procedures relating to parameter estimation in extreme value type 1 distribution through simulation |
| 言語 |
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|
言語 |
eng |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
EV I(2) distribution |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
Moment estimator |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
MLE |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
Simulation |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
Normality |
| 資源タイプ |
|
|
資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
|
資源タイプ |
departmental bulletin paper |
| 著者 |
Pal, Satyabrata
Kageyama, Sanpei
Pal, Subhabaha
景山, 三平
|
| 抄録 |
|
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内容記述タイプ |
Abstract |
|
内容記述 |
The extreme value (EV) distribution is widely used for fitting and analyzing a long range of data emanated from different real-life situations. Annual maximum water-flow data collected from a river over a considerable period of time (say, about 30 years) are found to follow the EV distribution very satisfactorily. Also the distribution of annual maximum rainfall data in a region closely follows the EV distribution. Thus these distributions have important applications in the works related to the flood frequency estimation/estimation of return period flood. The estimation of parameters from these types of data (data following the EV type I with two parameters, EV I(2), distribution) has important use in the field of hydrology to understand the situation more deeply. Here an investigation is made through simulation for several pairs of values of a and b (parameters of the EV I(2) distribution) using different sample sizes in order to compare the accuracy of maximum likelihood method as well as method of moments in estimating the original parameters (the pairs of values of a and b for which the simulation is done). A module is developed in SAS/IML which deals with a random number generation in the EV I(2) distribution and the subsequent estimation of parameters with method of moments and maximum likelihood method. It is found that when the parameter value of a is less than or equal to 0.5, the method of moments produce more accurate estimators of the parameters than the corresponding maximum likelihood estimators for large samples (250 or more). An error distribution investigation with respect to the parameters is also made with CAPABILITY and QQPLOT procedures in SAS/QC. It is found that when the sample size is small (10, 100, etc.) the error distribution follows near normality but with the increase in sample sizes (200, 300, etc.) the error distribution gradually deviates much away from normality. Some procedures in SAS/BASE and SAS/STAT are used in the calculation leading to the final results. |
| 書誌情報 |
広島工業大学紀要. 研究編
巻 45,
p. 281-289,
発行日 2011
|
| 出版者 |
|
|
出版者 |
広島工業大学 |
| ISSN |
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収録物識別子タイプ |
ISSN |
|
収録物識別子 |
13469975 |
| 書誌レコードID |
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|
収録物識別子タイプ |
NCID |
|
収録物識別子 |
AA11599110 |
| 論文ID（NAID） |
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|
関連タイプ |
isIdenticalTo |
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|
識別子タイプ |
NAID |
|
|
関連識別子 |
40018724494 |
| フォーマット |
|
|
内容記述タイプ |
Other |
|
内容記述 |
application/pdf |
| 著者版フラグ |
|
|
出版タイプ |
VoR |
|
出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
kenkyuhen45281.pdf (2.1 MB)
