Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300108610> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W4300108610 abstract "Let $eta_{1},eta_2,...$ be independent (not necessarily identically distributed) zero-mean random variables (r.v.'s) such that $|eta_i|le1$ almost surely for all $i$, and let $Z$ stand for a standard normal r.v. Let $a_1,a_2,...$ be any real numbers such that $a_1^2+a_2^2+...=1.$ It is shown that then $$ P(a_1eta_1+a_2eta_2+...ge x) le P(Zge x-la/x) forall x>0, $$ where $la := lnfrac{2e^3}9=1.495...$. The proof relies on (i) another probability inequality and (ii) a l'Hospital-type rule for monotonicity, both developed elsewhere. A multidimensional analogue of this result is given, based on a dimensionality reduction device, also developed elsewhere. In addition, extensions to (super)martingales are indicated." @default.
- W4300108610 created "2022-10-03" @default.
- W4300108610 creator A5058378725 @default.
- W4300108610 date "2006-03-01" @default.
- W4300108610 modified "2023-09-27" @default.
- W4300108610 title "On inequalities for sums of bounded random variables" @default.
- W4300108610 doi "https://doi.org/10.48550/arxiv.math/0603030" @default.
- W4300108610 hasPublicationYear "2006" @default.
- W4300108610 type Work @default.
- W4300108610 citedByCount "0" @default.
- W4300108610 crossrefType "posted-content" @default.
- W4300108610 hasAuthorship W4300108610A5058378725 @default.
- W4300108610 hasBestOaLocation W43001086101 @default.
- W4300108610 hasConcept C105795698 @default.
- W4300108610 hasConcept C114614502 @default.
- W4300108610 hasConcept C118615104 @default.
- W4300108610 hasConcept C122123141 @default.
- W4300108610 hasConcept C134306372 @default.
- W4300108610 hasConcept C138885662 @default.
- W4300108610 hasConcept C141513077 @default.
- W4300108610 hasConcept C18903297 @default.
- W4300108610 hasConcept C2777299769 @default.
- W4300108610 hasConcept C2780813799 @default.
- W4300108610 hasConcept C33923547 @default.
- W4300108610 hasConcept C34388435 @default.
- W4300108610 hasConcept C41895202 @default.
- W4300108610 hasConcept C72169020 @default.
- W4300108610 hasConcept C86803240 @default.
- W4300108610 hasConceptScore W4300108610C105795698 @default.
- W4300108610 hasConceptScore W4300108610C114614502 @default.
- W4300108610 hasConceptScore W4300108610C118615104 @default.
- W4300108610 hasConceptScore W4300108610C122123141 @default.
- W4300108610 hasConceptScore W4300108610C134306372 @default.
- W4300108610 hasConceptScore W4300108610C138885662 @default.
- W4300108610 hasConceptScore W4300108610C141513077 @default.
- W4300108610 hasConceptScore W4300108610C18903297 @default.
- W4300108610 hasConceptScore W4300108610C2777299769 @default.
- W4300108610 hasConceptScore W4300108610C2780813799 @default.
- W4300108610 hasConceptScore W4300108610C33923547 @default.
- W4300108610 hasConceptScore W4300108610C34388435 @default.
- W4300108610 hasConceptScore W4300108610C41895202 @default.
- W4300108610 hasConceptScore W4300108610C72169020 @default.
- W4300108610 hasConceptScore W4300108610C86803240 @default.
- W4300108610 hasLocation W43001086101 @default.
- W4300108610 hasLocation W43001086102 @default.
- W4300108610 hasOpenAccess W4300108610 @default.
- W4300108610 hasPrimaryLocation W43001086101 @default.
- W4300108610 hasRelatedWork W1977213570 @default.
- W4300108610 hasRelatedWork W1986868580 @default.
- W4300108610 hasRelatedWork W2001590474 @default.
- W4300108610 hasRelatedWork W2100419804 @default.
- W4300108610 hasRelatedWork W2142321825 @default.
- W4300108610 hasRelatedWork W2562156175 @default.
- W4300108610 hasRelatedWork W2594079813 @default.
- W4300108610 hasRelatedWork W4206841519 @default.
- W4300108610 hasRelatedWork W2506635445 @default.
- W4300108610 hasRelatedWork W2783398215 @default.
- W4300108610 isParatext "false" @default.
- W4300108610 isRetracted "false" @default.
- W4300108610 workType "article" @default.