The BRS-inequality and its applications
نویسندگان
چکیده
This article is a survey of results concerning an inequality, which may be seen as versatile tool to solve problems in the domain Applied Probability. The we call BRS-inequality, gives convenient upper bound for expected maximum number non-negative random variables one can sum up without exceeding given s>0. One valuable property BRS-inequality that it valid any hypothesis about independence variables. Another welcome feature that, once sees use problem, its application often straightforward or not very involved. This focussed, and hope pleasant inspiring read. Focus easy achieve, most useful versions displayed five Theorems their proofs. We try present these appealing way. objective harder, best think offering variety applications. Our examples include comparisons between sums i.i.d. versus non-identically distributed and/or dependent variables, condensing point processes, awkward monotone subsequence problems, knapsack online algorithms, tiling policies, Borel-Cantelli type applications theory resource branching processes. Apart from our wish inequality organised way, motivation this interested readers see potential own problems.
منابع مشابه
A Sharp Inequality and Its Applications
We establish an analog Hardy inequality with sharp constant involving exponential weight function. The special case of this inequality (for n = 2) leads to a direct proof of Onofri inequality on S.
متن کاملA Weighted Geometric Inequality and Its Applications
A new weighted geometric inequality is established by Klamkin’s polar moment of inertia inequality and the inversion transformation, some interesting applications of this result are given, and some conjectures which verified by computer are also mentioned
متن کاملthe survey of the virtual higher education in iran and the ways of its development and improvement
این پژوهش با هدف "بررسی وضعیت موجود آموزش عالی مجازی در ایران و راههای توسعه و ارتقای آن " و با روش توصیفی-تحلیلی و پیمایشی صورت پذیرفته است. بررسی اسنادو مدارک موجود در زمینه آموزش مجازی نشان داد تعداد دانشجویان و مقاطع تحصیلی و رشته محل های دوره های الکترونیکی چندان مطلوب نبوده و از نظر کیفی نیز وضعیت شاخص خدمات آموزشی اساتید و وضعیت شبکه اینترنت در محیط آموزش مجازی نامطلوب است.
A Study on the Hájek-rényi Inequality and Its Applications
Inequalities are at the heart of mathematical and statistical theory. No inequality is completely perfect, but the Hájek-Rényi inequality, which is the main subject of this thesis, is arguably the closest to absolute perfection of all the inequalities within all theories of probability. It has many applications in proving limit theorems, and examples of these are presented in this thesis. The s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Probability Surveys
سال: 2021
ISSN: ['1549-5787']
DOI: https://doi.org/10.1214/20-ps351