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A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime

• Authors : Berg, Christian

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Number Theory; 30E20, 26A48

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A Sufficient and Necessary Condition for the Power-Exponential Function 1 + 1 x α x to Be a Bernstein Function and Related n th Derivatives †.

• Authors : Cao, Jian¹ (AUTHOR) ; Guo, Bai-Ni² (AUTHOR) ; Du, Wei-Shih³ (AUTHOR)

• Source: Fractal & Fractional. May2023, Vol. 7 Issue 5, p397. 15p.

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A Sufficient and Necessary Condition for the Power-Exponential Function 1+1xαx to Be a Bernstein Function and Related nth Derivatives

• Authors : Jian Cao; Bai-Ni Guo; Wei-Shih Du

Subjects: Bernstein function; sufficient and necessary condition; power-exponential function

• Source: Fractal and Fractional, Vol 7, Iss 5, p 397 (2023)

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Nonconvex Penalization in Sparse Estimation: An Approach Based on the Bernstein Function

• Authors : Zhang, Zhihua

Subjects: Statistics - Machine Learning

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The Bernstein Function: A Unifying Framework of Nonconvex Penalization in Sparse Estimation

• Authors : Zhang, Zhihua

Subjects: Statistics - Machine Learning

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The geometric mean is a Bernstein function

• Authors : Qi, Feng; Zhang, Xiao-Jing; Li, Wen-Hui

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Complex Variables; Primary 26E60, 30E20, Secondary 26A48, 44A20

• Source: Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, L\'evy-Khintchine representation of the geometric mean of many positive numbers and applications, Mathematical Inequalities & Applications 17 (2014), no. 2,

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A note on the Galambos copula and its associated Bernstein function

• Authors : Mai Jan-Frederik

Subjects: galambos copula; bernstein function; min-stable multivariate exponential distribution

• Source: Dependence Modeling, Vol 2, Iss 1 (2014)

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Classes of completely monotone and Bernstein functions defined by convexity properties of their spectral measures

• Authors : Wissem Jedidi; Hristo S. Sendov; Shen Shan

Subjects: completely monotone function; bernstein function; $ \beta $-convex

• Source: AIMS Mathematics, Vol 9, Iss 5, Pp 11372-11395 (2024)

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Sharp bounds on the survival function of exchangeable min-stable multivariate exponential sequences

• Authors : Mai Jan-Frederik

Subjects: exchangeable sequence; min-stable multivariate exponential; extreme-value copula

• Source: Dependence Modeling, Vol 12, Iss 1, Pp 29-46 (2024)

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Higher Order Thorin–Bernstein Functions

• Authors : Koumandos, Stamatis; Pedersen, Henrik L.

Subjects: completely monotonic function; generalized Bernstein function; generalized Stieltjes function

• Source: Koumandos , S & Pedersen , H L 2024 , ' Higher Order Thorin–Bernstein Functions ' , Results in Mathematics , vol. 79 , no. 1 , 13 .

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