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Derivatives of the incomplete beta function

Обложка книги Derivatives of the incomplete beta function

Derivatives of the incomplete beta function

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.
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