Some new approximations and proofs for Mills' ratio

DOI10.1007/S00025-018-0798-5zbMath1390.26015OpenAlexW2791880745WikidataQ113906332 ScholiaQ113906332MaRDI QIDQ1743237

Dawei Lu, Guangqing Tang, Lixin Song

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0798-5

zbMATH Keywords

asymptotic seriesdouble inequalityMills' ratiofraction approximation

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximations to statistical distributions (nonasymptotic) (62E17) Monotonic functions, generalizations (26A48) Inequalities involving derivatives and differential and integral operators (26D10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (1)

Some new upper and lower bounds for the Mills ratio

Cites Work

• Approximating Mills ratio
• A new fast asymptotic series for the gamma function
• A uniform approximation to the right normal tail integral
• Mills' ratio: Monotonicity patterns and functional inequalities
• Some Inequalities on Mill's Ratio and Related Functions
• INEQUALITIES FOR THE NORMAL INTEGRAL INCLUDING A NEW CONTINUED FRACTION
• An Inequality for Mill's Ratio

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