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Concentration Properties of Extremal Parameters in Random Discrete Structures [PDF]
The purpose of this survey is to present recent results concerning concentration properties of extremal parameters of random discrete structures. A main emphasis is placed on the height and maximum degree of several kinds of random trees. We also provide
Michael Drmota
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Matrix Poincaré inequalities and concentration [PDF]
Final version, to appear in Advances in ...
Marwa Banna +3 more
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Sharper Concentration Inequalities for Median-of-Mean Processes
The Median-of-Mean (MoM) estimation is an efficient statistical method for handling data with contamination. In this paper, we propose a variance-dependent MoM estimation method using the tail probability of a binomial distribution.
Guangqiang Teng +3 more
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Decomposition of socioeconomic inequalities in glaucoma knowledge in Taiwan [PDF]
OBJECTIVES Glaucoma knowledge is strongly associated with medication adherence and preventive behavior. Studies have frequently reported socioeconomic inequalities in glaucoma knowledge. This study aimed to decompose such inequalities.
Chiun-Ho Hou, Christy Pu
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Generalizations of some concentration inequalities [PDF]
11 ...
M. Ashraf Bhat, G. Sankara Raju Kosuru
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Concentration Inequalities [PDF]
Concentration inequalities deal with deviations of functions of independent random variables from their expectation. In the last decade new tools have been introduced making it possible to establish simple and powerful inequalities. These inequalities are at the heart of the mathematical analysis of various problems in machine learning and made it ...
Boucheron, S., Lugosi, G., Bousquet, O.
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Background Malnutrition is a major cause of child death, and many children suffer from acute and chronic malnutrition. Nigeria has the second-highest burden of stunting globally and a higher-than-average child wasting prevalence.
Chijioke O. Nwosu +2 more
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Concentration Inequalities and Martingale Inequalities: A Survey [PDF]
We examine a number of generalized and extended versions of concentration inequalities and martingale inequalities. These inequalities are effective for analyzing processes with quite general conditions as illustrated in an example for an infinite Polya process and web graphs.
Chung, Fan, Lu, Linyuan
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Background Over the last two decades, Indonesia has experienced remarkable economic growth. However, the percentage of infants and young children meeting the minimum dietary diversity (MDD) criteria has stagnated.
Bunga A. Paramashanti +3 more
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A sharp concentration inequality with applications [PDF]
We present a new general concentration-of-measure inequality and illustrate its power by applications in random combinatorics. The results find direct applications in some problems of learning theory.
Stéphane Boucheron +2 more
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