New handy and accurate approximation for the Gaussian integrals with applications to science and engineering
Keyword(s):
Abstract In this work, we propose to approximate the Gaussian integral, the error function and the cumulative distribution function by using the power series extender method (PSEM). The approximations proposed in this paper present a high accuracy for the complete domain [–∞,∞]. Furthermore, the approximations are handy and easy computable, avoiding the application of special numerical algorithms. In order to show its high accuracy, three case studies are presented with applications to science and engineering.
2013 ◽
Vol 2013
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pp. 1-15
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2012 ◽
Vol 2012
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pp. 1-22
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2016 ◽
Vol 24
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pp. 183-199
2001 ◽
Vol 09
(01)
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pp. 39-53
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Estimating the cumulative distribution function for the linear combination of gamma random variables
2017 ◽
Vol 20
(5)
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pp. 939-951
2021 ◽
Vol 18
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pp. 264