𝔖 Bobbio Scriptorium
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Derivatives of the incomplete beta function

✍ Scribed by Boik et al.

Book ID
127401416
Tongue
English
Weight
134 KB
Category
Library

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

On partial derivatives of the incomplete
On partial derivatives of the incomplete beta function
✍ Emin Γ–zΓ§agΒ―; Δ°nci Ege; Haşmet GΓΌrΓ§ay; Biljana Jolevska-Tuneska πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 197 KB

The incomplete beta function B x (a, b) is defined for a, b > 0 and 0 < x < 1 and its definition was extended to negative integer values of a and b in [E. Γ–zc ΒΈaαΈ‘, Δ°.