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Inequalities in cancer: a major public health concern
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A unified MAP-EM approach to stable Gaussian mixture clustering with priors, graphs, and split-merge adaptation for document clustering. [PDF]
Subbarayan S, Grace GH.
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High-dimensional model-assisted inference for treatment effects with multi-valued treatments. [PDF]
Xu W, Tan Z.
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Majorization and operator inequalities (Inequalities on Linear Operators and its Applications)
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Log-majorization Type Inequalities [PDF]
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Lemos, R., Bebiano, N., Soares, G.
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Majorization and the Birthday Inequality
Mathematics Magazine, 1991(1991). Majorization and the Birthday Inequality. Mathematics Magazine: Vol. 64, No. 3, pp. 183-188.
M. Lawrence Clevenson, William Watkins
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A note on Slepian’s inequality based on majorization
Statistics & Probability Letters, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Ying, Zhang, Xinsheng
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Inequalities for Majorizing Analytic Functions
Journal of Mathematical Sciences, 2006Summary: For analytic functions satisfying Meyman's majorization conditions, with the use of classical properties of conformal mappings exact inequalities complementing and strengthening the results of Akhiezer and Meyman are derived. As a corollary, for the modulus of the derivative of a rationally-trigonometric function a Bernstein type bound, which ...
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Hoeffding’s Inequality and Multivariate Majorization
1984Many years ago Hoeffding (1956, Theorem 3) proved the following result: if X1,…, Xn are independent Bernoulli random variables and if $$\psi :\{ 0,...,n\} \to R$$ is (strictly) concave, then $${{\Bbb E}_{\bar p}}\left[ {\psi \left( {\sum\limits_{i = 1}^n {{X_i}} } \right)} \right]\underline { \leqslant \,} {{\Bbb E}_{{p_1},...,{p_n}}}\left[ {
Christian Berg +2 more
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Majorization and Matrix Inequalities
2011Majorization is an important tool in deriving matrix inequalities of eigenvalues, singular values, and matrix norms. In this chapter we introduce the concept of majorization, present its basic properties, and show a variety of matrix inequalities in majorization.
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