New tightness lower and upper bounds for the standard normal distribution function and related functions

DOI10.1002/mma.9358OpenAlexW4376876709MaRDI QIDQ6143191

Omar Mohammad Eidous

Publication date: 23 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9358

zbMATH Keywords

error function\(Q\)-functionmaximum absolute errorbounds for standard normal distribution function

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Inequalities for sums, series and integrals (26D15)

Cites Work

• Error function inequalities
• New handy and accurate approximation for the Gaussian integrals with applications to science and engineering
• Study of a Class of Regularizations of 1/|x| Using Gaussian Integrals
• New approximations for standard normal distribution function
• Class of tight bounds on the Q‐function with closed‐form upper bound on relative error
• Unnamed Item

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