Publication Date

2014

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 .

School/Institute

Mary MacKillop Institute for Health Research

Document Type

Journal Article

Access Rights

ERA Access

Access may be restricted.

Share

COinS