Estimating the Marginal Likelihood Using the Arithmetic Mean Identity
In this paper we propose a conceptually straightforward method to estimate the marginal data density value (also called the marginal likelihood). We show that the marginal likelihood is equal to the prior mean of the conditional density of the data given
Anna Pajor
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Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory [PDF]
In this paper we propose an extension of the well-known OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory.
Deschrijver, Glad
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The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]
Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
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Weighted arithmetic–geometric operator mean inequalities
In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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Citation: 'arithmetic mean' in the IUPAC Compendium of Chemical Terminology, 3rd ed.; International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351/goldbook.A00440 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms.
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Sharp two-parameter bounds for the identric mean
For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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New Bounds for Arithmetic Mean by the Seiffert-like Means
By using the power series of the functions 1/sinnt and cost/sinnt (n=1,2,3,4,5), and the estimation of the ratio of two adjacent Bernoulli numbers, we obtained new bounds for arithmetic mean A by the weighted arithmetic means of Mtan1/3Msin2/3 and 13Mtan+
Ling Zhu
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Applications of differential subordination for certain subclasses of meromorphically univalent functions defined by rapid operator [PDF]
In this work, we investigate some applications of differential subordination for the class of meromorphic univalent functions defined by rapid operator and obtained coefficient bounds, integral representations, weighted and arithmetic mean for the class ...
Bolineni Venkateswarlu +3 more
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Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specifications [PDF]
We present a new average-based robustness for Signal Temporal Logic (STL) and a framework for optimal control of a dynamical system under STL constraints.
N. Mehdipour, C. Vasile, C. Belta
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The Pioneering Role of the Fitness and Bodybuilding Halls in Mosul from the Viewpoint of its Visitors [PDF]
The current research aims to: 1- Build an entrepreneurial trend in the halls of fitness and bodybuilding in the city of Mosul from the viewpoint of its visitors.
Abd Ulslam Abbass, Khaled Mahmoud Aziz
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