عنوان البحث(Papers / Research Title)
An Asymptotic Expansion for the Non-Central Chi-Square Distribution
الناشر \ المحرر \ الكاتب (Author / Editor / Publisher)
جنان حمزة فرهود الخناني
Citation Information
جنان,حمزة,فرهود,الخناني ,An Asymptotic Expansion for the Non-Central Chi-Square Distribution , Time 5/18/2011 9:18:25 AM : كلية التربية للعلوم الصرفة
وصف الابستركت (Abstract)
We derive the Asymptotic Expansion where U/2 approaches to infinity
الوصف الكامل (Full Abstract)
An Asymptotic Expansion for the Non-Central Chi-Square Distribution
We derive an asymptotic expansion for the non-central chi-square distribution as U/2 approaches to infinity where U is the non-central chi-square variable with m degree of freedom .
Through certify from advantage of this asymptotic , we found out that an algorithm based on this expansion can be more easily tuned for particular accuracy requirements and for parameter ranges.
A non- central chi-square distribution studied by researchers such as (sankaran,1963; Ruben, 1974; Venables, 1975; Siegel, 1979; Anderson, 1981; Alam, 1982; Ennis and Johnson, 1993) whose worked in our field by taking the different subject of this distribution such as : Approximations to the non-central chi - square distribution, Estimation of the noncentrality parameter of a chi-square distribution , Maximum likelihood estimation in the non-central chi square distribution, calculation of confindence intervals for non-central distributions.
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