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APPROXIMATION TO THE CUMULATIVE NORMAL DISTRIBUTION USING HYPERBOLIC TANGENT BASED FUNCTIONS
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 Title & Authors
APPROXIMATION TO THE CUMULATIVE NORMAL DISTRIBUTION USING HYPERBOLIC TANGENT BASED FUNCTIONS
Yun, Beong-In;
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 Abstract
This paper presents a method for approximation of the standard normal distribution by using hyperbolic tangent based functions. The presented approximate formula for the cumulative distribution depends on one numerical coefficient only, and its accuracy is admissible. Furthermore, in some particular cases, closed forms of inverse formulas are derived. Numerical results of the present method are compared with those of an existing method.
 Keywords
cumulative normal distribution;hyperbolic tangent based function;
 Language
English
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Tail Probability Ratios of Normal and Student’stDistributions, Communications in Statistics - Theory and Methods, 2014, 43, 18, 3797  crossref(new windwow)
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