Comparison of estimators of the weibull distribution

Journal article

Akram, Muhammad and Hayat, Aziz. (2014). Comparison of estimators of the weibull distribution. Journal of Statistical Theory and Practice. 8(2), pp. 238 - 259. https://doi.org/10.1080/15598608.2014.847771
AuthorsAkram, Muhammad and Hayat, Aziz
Abstract

We compare the small sample performance (in terms of bias and root mean squared error) of the L-moment estimator of a three-parameter Weibull distribution with maximum likelihood estimation (MLE), moment estimation (MoE), least-square estimation (LSE), the modified MLE (MMLE), the modified MoE (MMoE), and the maximum product of spacing (MPS). Overall, the LM method has a tendency to perform well as it is almost always close to the best method of estimation. The ML performance is remarkable even at a small sample size of when the shape parameter lies in the [1.5, 4] range. The MPS estimator dominates others when . For large , MMLE outweighs others in samples of size , whereas LM is preferred in samples of size .

Year2014
JournalJournal of Statistical Theory and Practice
Journal citation8 (2), pp. 238 - 259
PublisherTaylor & Francis Inc.
ISSN1559-8608
Digital Object Identifier (DOI)https://doi.org/10.1080/15598608.2014.847771
Scopus EID2-s2.0-84896937840
Page range238 - 259
Research GroupMary MacKillop Institute for Health Research
Publisher's version
File Access Level
Controlled
Place of publicationUnited States
EditorsS. Gupta
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