Results 31 to 40 of about 4,122,773 (336)
Berry–Esseen bounds for generalized U-statistics [PDF]
Electronic Journal of Probability, 2021 In this paper, we establish optimal Berry--Esseen bounds for the generalized $U$-statistics. The proof is based on a new Berry--Esseen theorem for exchangeable pair approach by Stein's method under a general linearity condition setting.
Zhuohui Zhang
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U-Statistics for left truncated and right censored data [PDF]
Statistics (Berlin), 2021 The analysis of left truncated and right censored data is very common in survival and reliability analysis. In lifetime studies patients are often subject to left truncation in addition to right censoring.
K. K. Sudheesh, S. Anjana, M. Xie
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Muth Distribution and Estimation of a Parameter Using Order Statistics
Statistica, 2021 In this work, we have considered a lifetime distribution namely Muth distribution and pointed out instances where it appears as a good model to study the stochastic nature of the variable under consideration.
Muhammed Rasheed Irshad +2 more
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Asymptotic Expansions for Symmetric Statistics with Degenerate Kernels
Mathematics, 2022 Asymptotic expansions for U-statistics and V-statistics with degenerate kernels are investigated, respectively, and the remainder term O(n1−p/2), for some p≥4, is shown in both cases.
Shuya Kanagawa
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On U-Statistics and Compressed Sensing II: Non-Asymptotic Worst-Case Analysis [PDF]
, 2013 In another related work, U-statistics were used for non-asymptotic "average-case" analysis of random compressed sensing matrices. In this companion paper the same analytical tool is adopted differently - here we perform non-asymptotic "worst-case ...
Fabian Lim, Vladimir Stojanović
openalex +4 more sources
Some remarks on the ergodic theorem for $U$-statistics
Comptes Rendus. Mathématique, 2023 In this note, we investigate the convergence of a $U$-statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost sure and $L^1$ convergence and present some counter-examples showing that the $U$-statistic ...
Dehling, Herold +2 more
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Distributed inference for two‐sample U‐statistics in massive data analysis
Scandinavian Journal of Statistics, 2022 This paper considers distributed inference for two‐sample U‐statistics under the massive data setting. In order to reduce the computational complexity, this paper proposes distributed two‐sample U‐statistics and blockwise linear two‐sample U‐statistics ...
Bingyao Huang, Yanyan Liu, Liuhua Peng
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Statistical treatment of nuclear counting results [PDF]
Nuclear Technology and Radiation Protection, 2011 Since the exact time a specific nucleus undergoes radioactive decay cannot be specified, nor can showers caused by secondary cosmic rays be predicted, statistical laws play an important role in almost all cases of experimental nuclear physics.
Dolićanin Ćemal B. +3 more
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Change-point detection based on weighted two-sample U-statistics [PDF]
Electronic Journal of Statistics, 2020 We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an extreme value ...
H. Dehling, Kata Vuk, M. Wendler
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A Central Limit Theorem for incomplete U-statistics over triangular arrays [PDF]
Brazilian Journal of Probability and Statistics, 2020 We analyze the fluctuations of incomplete $U$-statistics over a triangular array of independent random variables. We give criteria for a Central Limit Theorem (CLT, for short) to hold in the sense that we prove that an appropriately scaled and centered ...
Matthias Lowe, Sara Terveer
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