Third and Fourth Moment Unbiased Estimators From a Statistical Distribution
ABSTRACT This article develops the third and fourth central moment unbiased estimators for sample sizes n ≥ 4 from any continuous underlying population. We have obtained the unbiasing constants for both estimators. Thereby, we are providing estimators of skewness and kurtosis of all statistical distributions with a continuous support.
Authors
- Saeed Maghsoodloo (ORCID: https://orcid.org/0000-0002-4072-5730)
Institutions
- Auburn University (US)
Publication Details
- Journal
- Quality and Reliability Engineering International
- Published
- 2025-11-04
- DOI
- https://doi.org/10.1002/qre.70038
- Primary Topic
- Statistical Distribution Estimation and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00