On using Newton's method for computing the noncentrality parameter of the noncentral F distribution

Cherng G. Ding*

*此作品的通信作者

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

This article deals with how to enhance computational efficiency of Newton's method for computing the noncentrality parameter of the noncentral F distribution. Some relationship between recurrence formulas for computing the noncentral F distribution function and its derivative with respect to the noncentrality parameter is investigated. Use of the relationship discovered can combine the evaluations of the noncentral F distribution function and its derivative, and therefore can reduce the amount of computations during Newton's process. An efficient algorithm featuring this finding is provided in a step-by-step form.

原文English
頁(從 - 到)259-268
頁數10
期刊Communications in Statistics Part B: Simulation and Computation
26
發行號1
DOIs
出版狀態Published - 1997

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