Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals
نویسندگان
چکیده
The cumulative distribution function of the non-central chi-square χn′2(λ) n degrees freedom possesses an integral representation. Here we rewrite this in terms a lower incomplete gamma applying two second mean-value theorems for definite integrals, which are Bonnet type and Okamura’s variant du Bois–Reymond theorem. Related results exposed concerning small argument cases (CDF) their asymptotic behavior near origin.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9020129