Two recurrence formulas for computing the noncentral beta distribution function and the density are proposed. The computations can be carried to any specified accuracy using the error bounds obtained. Corresponding algorithms are provided in a step-by-step form. A close relationship between the formulas allows joint evaluation of the distribution function and the density. The noncentral beta quantile can then be efficiently computed using Newton's method. Its algorithm is also given in a step-by-step form.
机构:
Kazan VI Lenin State Univ, Fac Appl Math & Cybernet, Dept Math Stat, Kazan 420008, RussiaKazan VI Lenin State Univ, Fac Appl Math & Cybernet, Dept Math Stat, Kazan 420008, Russia
Volodin, I. N.
Ponfilyenok, M. N.
论文数: 0引用数: 0
h-index: 0
机构:
Kazan VI Lenin State Univ, Fac Appl Math & Cybernet, Dept Math Stat, Kazan 420008, RussiaKazan VI Lenin State Univ, Fac Appl Math & Cybernet, Dept Math Stat, Kazan 420008, Russia