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 ...
The Annals of Mathematical Statistics, Vol. 34, No. 4 (Dec., 1963), pp. 1302-1307 (6 pages) Investigations have been made in the past by several people on the possibility of extending the content of ...
Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...