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Journal of Statistical Software
Article . 1998 . Peer-reviewed
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Derivatives of the Incomplete Beta Function

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1998 English Publisher:Foundation for Open Access StatisticJournal:Journal of Statistical Software, volume 3 (eissn: 1548-7660, Copyright policy )
Authors: James F. Robinson-Cox; Robert J. Boik;

doi: 10.18637/jss.v003.i01

Derivatives of the Incomplete Beta Function

Abstract

The incomplete beta function is defined as where Beta(p, q) is the beta function. Dutka (1981) gave a history of the development and numerical evaluation of this function. In this article, an algorithm for computing first and second derivatives of Ix,p,q with respect to p and q is described. The algorithm is useful, for example, when fitting parameters to a censored beta, truncated beta, or a truncated beta-binomial model.

Keywords

Statistics, HA1-4737

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Top 10%
Average
gold