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A Weak Law of Large Numbers for Dependent Random Variables 相关随机变量的一个弱大数定律
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t991593
I. Karatzas, W. Schachermayer
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引用次数: 0
On the Asymptotic Approach to the Change-Point Problem and Exponential Convergence Rate in the Ergodic Theorem for Markov Chains 马尔可夫链遍历定理中变点问题的渐近逼近及其指数收敛率
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t991519
A. A. Borovkov
Under the assumption that the change-point time is large, a Poisson approximation for the distribution of the number of false alarms is obtained. We also find upper bounds for the probability of a ``false alarm” on a given time interval. An asymptotic expansion for the mean delay time of the alarm signal relative to the change-point time is obtained. To get this result, we establish the exponential convergence rate in the ergodic theorem for Markov chains with a positive atom; chains of this kind describe the monitoring of control systems. A game-theoretic approach is employed to obtain asymptotically optimal solutions of the change-point problem.
在变点时间较大的假设下，得到了虚警数分布的泊松近似。我们还找到了在给定时间间隔上“假警报”概率的上界。得到了报警信号的平均延迟时间相对于变点时间的渐近展开式。为了得到这个结果，我们建立了带正原子的马尔可夫链的遍历定理中的指数收敛率;这类链描述了对控制系统的监控。利用博弈论方法得到了变点问题的渐近最优解。
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引用次数: 0
On Relevant Features Selection Based on Information Theory 基于信息论的相关特征选择
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t991520
A. V. Bulinski
It is shown that widely used suboptimal algorithms of feature selection based on information theory concepts do not necessarily identify a collection of features (relevant in a sense) affecting the studied random response. This can be considered as a reflection of the epistasis phenomenon known in genetics, when individual features have little effect on increased risk of complex disease, whereas certain combinations of features have significant impact on risk. It is demonstrated that a similar effect is also manifested in inferences employing statistical estimates of mutual information.
研究表明，广泛使用的基于信息论概念的次优特征选择算法不一定能识别出影响所研究随机响应的特征集合(在某种意义上是相关的)。这可以被认为是遗传学中已知的上位现象的反映，当个体特征对复杂疾病的风险增加影响很小时，而某些特征的组合对风险有显著影响。结果表明，在采用互信息统计估计的推论中也表现出类似的效果。
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引用次数: 0
Population Size of a Critical Branching Process Evolving in an Unfavorable Environment 不利环境下关键分支过程进化的种群大小
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t991532
V. A. Vatutin, E. E. Dyakonova
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引用次数: 0
On mm-Entropy of a Banach Space with Gaussian Measure 具有高斯测度的Banach空间的mm-熵
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t991544
A. M. Vershik, M. A. Lifshits
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引用次数: 1
On Nondegenerate Itô Processes with Moderated Drift 关于漂移有调节的非退化Itô过程
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t99160x
N. V. Krylov
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引用次数: 0
On the 120th Birthday of Andrei Nikolaevich Kolmogorov 在安德烈·尼古拉耶维奇·科尔莫戈罗夫诞辰120周年之际
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-11-01 DOI: 10.1137/s0040585x97t991490
A. N. Shiryaev
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引用次数: 0
Potential role of a novel endoscopic retrieval bag for large colorectal resected specimen: a proof-of-concept study. 一种新型内镜下大结肠切除标本回收袋的潜在作用:一项概念验证研究。
IF 2.6 4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-08-01 DOI: 10.1055/a-2098-2664
Yasuhiro Tani, Yoji Takeuchi, Yuya Asada, Yuki Okubo, Yushi Kawakami, Satoki Shichijo, Takashi Kanesaka, Koji Higashino, Noriya Uedo, Tomoki Michida, Ryu Ishihara, Kiyokazu Nakajima

Endoscopic submucosal dissection enables en bloc resection of large superficial colorectal neoplasms. However, it is sometimes challenging to retrieve a large resected specimen via the anus without sample fragmentation. A novel "bag-type" retrieval device has been developed to accomplish complete isolation and non-destructive delivery of oversized specimens. This single-center retrospective study was performed to demonstrate the efficacy of this device for large colorectal resected specimens. Among 17 patients, we identified 18 superficial colorectal lesions for which the use of a novel retrieval device (Endo Carry Large Type) was indicated at specimen delivery at a referral cancer institute from March 2021 to July 2022. The median (interquartile range) tumor size was 62.5 (52.0-79.5) mm. Retrieval of 17 (94%) of 18 resected specimens was performed using the Endo Carry Large Type, and 16 (89%) were successfully retrieved without sample fragmentation. The median (interquartile range) retrieval time was 4 (4-8) minutes, and no apparent adverse events were observed. The novel Endo Carry Large Type device can accomplish colorectal specimen retrieval safely and quickly without specimen damage and therefore may contribute to accurate pathological diagnosis.

内镜下粘膜夹层可以实现大的浅表结直肠肿瘤的整体切除。然而，有时很难在没有样本碎裂的情况下通过肛门取出大的切除标本。研制了一种新型的“袋式”回收装置，实现了超大标本的完全隔离和无损输送。这项单中心回顾性研究是为了证明该装置在结肠直肠癌切除大标本中的有效性。在17例患者中，我们确定了18例浅表结直肠病变，在2021年3月至2022年7月期间，在转诊癌症研究所的标本交付中使用了一种新型检索装置(Endo Carry Large Type)。肿瘤大小中位数(四分位间距)为62.5 (52.0-79.5)mm。18个切除标本中有17个(94%)使用Endo Carry Large Type进行检索，16个(89%)成功检索，无标本碎裂。中位(四分位间距)检索时间为4(4-8)分钟，未观察到明显的不良事件。新型的Endo Carry大型装置可以安全、快速地完成结肠直肠标本检索，而不会损伤标本，因此有助于准确的病理诊断。
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引用次数: 0
On Sub-Gaussian Concentration of Missing Mass 关于缺失质量的亚高斯浓度
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-08-01 DOI: 10.1137/s0040585x97t991453
M. Skorski
The statistical inference on missing mass aims to estimate the weight of elements not observed during sampling. Since the pioneer work of Good and Turing, the problem has been studied in many areas, including statistical linguistics, ecology, and machine learning. Proving the sub-Gaussian behavior of the missing mass has been notoriously hard, and a number of complicated arguments have been proposed: logarithmic Sobolev inequalities, thermodynamic approaches, and information-theoretic transportation methods. Prior works have argued that the difficulty is inherent, and classical tools are inadequate. We show that this common belief is false, and all that we need to establish the sub-Gaussian concentration is the classical inequality of Bernstein. The strong educational value of our work is in its demonstration of this inequality in its full generality, an aspect not well recognized by researchers.
缺失质量的统计推断旨在估计采样过程中未观测到的元素的重量。自从古德和图灵的开创性工作以来，这个问题已经在许多领域得到了研究，包括统计语言学、生态学和机器学习。证明失踪质量的亚高斯行为是出了名的困难，并且提出了许多复杂的论点:对数索博列夫不等式，热力学方法和信息论的传输方法。先前的研究认为，困难是固有的，经典的工具是不够的。我们证明这种普遍的信念是错误的，我们所需要建立的亚高斯浓度是伯恩斯坦的经典不等式。我们的工作具有很强的教育价值，因为它展示了这种不平等的全部普遍性，这是研究人员没有很好地认识到的一个方面。
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引用次数: 0
On Student Workshops Organized by the Vega Institute 关于维加学院组织的学生研讨会
4区 数学 Q4 STATISTICS & PROBABILITY
Theory of Probability and its Applications
Pub Date : 2023-08-01 DOI: 10.1137/s0040585x97t991489
K. Yu. Klimov, M. N. Tsareva
This note presents information about three workshops on financial and actuarial mathematics held in 2022 by The Vega Institute Science Promotion Foundation. The goal of the Foundation is to support and develop projects for training highly qualified personnel in the field of financial and actuarial mathematics in parallel with its economic and numerical components.
本报告介绍了织女研究所科学促进基金会于2022年举办的三场金融和精算数学研讨会的信息。基金会的目标是支持和发展项目，培训金融和精算数学领域的高素质人才，同时兼顾其经济和数字组成部分。
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引用次数: 0
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