A differential version of the Efron-Stein inequality: bounding the variance of a function of an infinitely divisible variable

Author:

Vitale Richard A

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference19 articles.

1. A property of the jackknife estimation of the variance when more than one observation is omitted;Bhargava;Sankhyā Ser. A,1983

2. On extensions of the Brünn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation;Brascamp;J. Funct. Anal.,1976

3. On upper and lower bounds for the variance of a function of a random variable;Cacoullos;Ann. Probab.,1982

4. On upper bounds for the variance of functions of random variables;Cacoullos;Statist. Probab. Letters,1985

5. An inequality for the multivariate normal distribution;Chen;J. Mult. Anal.,1982

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. How a probabilistic analogue of the mean value theorem yields stein-type covariance identities;Journal of Applied Probability;2022-01-18

2. A matrix variance inequality;Journal of Statistical Planning and Inference;2005-03

3. Unified Variance Bounds and a Stein-Type Identity;Probability and Statistical Models with Applications;2000-09-21

4. Interpolation, correlation identities, and inequalities for infinitely divisible variables;The Journal of Fourier Analysis and Applications;1998-11

5. Chernoff-type inequality and variance bounds;Journal of Statistical Planning and Inference;1997-10

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3