Derivatives of the Incomplete Beta Function
نویسندگان
چکیده
منابع مشابه
An asymptotic expansion for the incomplete beta function
A new asymptotic expansion is derived for the incomplete beta function I(a, b, x), which is suitable for large a, small b and x > 0.5. This expansion is of the form I(a, b, x) ∼ Q(b,−γ log x) + Γ(a+ b) Γ(a)Γ(b) x ∞ ∑
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In [Temme N.M., Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996, Section 11.3.3.1] a uniform asymptotic expansion for the incomplete beta function was derived. It was not obvious from those results that the expansion is actually an asymptotic expansion. We derive a remainder estimate...
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ژورنال
عنوان ژورنال: Journal of Statistical Software
سال: 1998
ISSN: 1548-7660
DOI: 10.18637/jss.v003.i01