Some properties of the moment estimator of shape parameter for the gamma distribution
Piotr Nowak
TL;DR
This paper derives the exact distribution of the moment estimator for the gamma distribution's shape parameter in small samples and discusses its order preserving properties.
Contribution
It provides the first derivation of the exact distribution for this estimator and analyzes its order preserving characteristics.
Findings
Exact distribution derived for small sample sizes.
Order preserving properties established.
Insights into estimator behavior for gamma distribution.
Abstract
Exact distribution of the moment estimator of shape parameter for the gamma distribution for small samples is derived. Order preserving properties of this estimator are presented.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Morphological variations and asymmetry · Statistical Methods and Inference