Matches in SemOpenAlex for { <https://semopenalex.org/work/W2084569901> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2084569901 abstract "Let $X_1, X_2, cdots$ be a sequence of independent random variables with $S_n = sum^n_{i = 1} X_i$. Fix $alpha > 0$. Let $Phi(cdot)$ be a continuous, strictly increasing function on $lbrack 0, infty)$ such that $Phi(0) = 0$ and $Phi(cx) leq c^alphaPhi(x)$ for all $x > 0$ and all $c geq 2$. Suppose $a$ is a real number and $J$ is a finite nonempty subset of the positive integers. In this paper we are interested in approximating $E max_{j in J} Phi(|a + S_j|)$. We construct a number $b_J(a)$ from the one-dimensional distributions of the $X$'s such that the ratio $E max_{j in J} Phi(|a + S_j|)/Phi(b_J(a))$ is bounded above and below by positive constants which depend only on $alpha$. Bounds for these constants are given." @default.
- W2084569901 created "2016-06-24" @default.
- W2084569901 creator A5062180534 @default.
- W2084569901 date "1981-06-01" @default.
- W2084569901 modified "2023-09-23" @default.
- W2084569901 title "A Method of Approximating Expectations of Functions of Sums of Independent Random Variables" @default.
- W2084569901 cites W1550229369 @default.
- W2084569901 cites W1580334350 @default.
- W2084569901 cites W189670014 @default.
- W2084569901 cites W192059960 @default.
- W2084569901 cites W2023426016 @default.
- W2084569901 cites W2031960635 @default.
- W2084569901 cites W2042161350 @default.
- W2084569901 cites W2061284139 @default.
- W2084569901 cites W2061893616 @default.
- W2084569901 cites W3173119213 @default.
- W2084569901 doi "https://doi.org/10.1214/aop/1176994415" @default.
- W2084569901 hasPublicationYear "1981" @default.
- W2084569901 type Work @default.
- W2084569901 sameAs 2084569901 @default.
- W2084569901 citedByCount "16" @default.
- W2084569901 countsByYear W20845699012015 @default.
- W2084569901 countsByYear W20845699012016 @default.
- W2084569901 countsByYear W20845699012023 @default.
- W2084569901 crossrefType "journal-article" @default.
- W2084569901 hasAuthorship W2084569901A5062180534 @default.
- W2084569901 hasBestOaLocation W20845699011 @default.
- W2084569901 hasConcept C105795698 @default.
- W2084569901 hasConcept C114614502 @default.
- W2084569901 hasConcept C118615104 @default.
- W2084569901 hasConcept C122123141 @default.
- W2084569901 hasConcept C134306372 @default.
- W2084569901 hasConcept C2778112365 @default.
- W2084569901 hasConcept C33923547 @default.
- W2084569901 hasConcept C34388435 @default.
- W2084569901 hasConcept C43994743 @default.
- W2084569901 hasConcept C54355233 @default.
- W2084569901 hasConcept C86803240 @default.
- W2084569901 hasConceptScore W2084569901C105795698 @default.
- W2084569901 hasConceptScore W2084569901C114614502 @default.
- W2084569901 hasConceptScore W2084569901C118615104 @default.
- W2084569901 hasConceptScore W2084569901C122123141 @default.
- W2084569901 hasConceptScore W2084569901C134306372 @default.
- W2084569901 hasConceptScore W2084569901C2778112365 @default.
- W2084569901 hasConceptScore W2084569901C33923547 @default.
- W2084569901 hasConceptScore W2084569901C34388435 @default.
- W2084569901 hasConceptScore W2084569901C43994743 @default.
- W2084569901 hasConceptScore W2084569901C54355233 @default.
- W2084569901 hasConceptScore W2084569901C86803240 @default.
- W2084569901 hasIssue "3" @default.
- W2084569901 hasLocation W20845699011 @default.
- W2084569901 hasOpenAccess W2084569901 @default.
- W2084569901 hasPrimaryLocation W20845699011 @default.
- W2084569901 hasRelatedWork W1979694908 @default.
- W2084569901 hasRelatedWork W1998707102 @default.
- W2084569901 hasRelatedWork W2001590474 @default.
- W2084569901 hasRelatedWork W2027113114 @default.
- W2084569901 hasRelatedWork W2070503653 @default.
- W2084569901 hasRelatedWork W2072764321 @default.
- W2084569901 hasRelatedWork W2100419804 @default.
- W2084569901 hasRelatedWork W2324822623 @default.
- W2084569901 hasRelatedWork W2371742721 @default.
- W2084569901 hasRelatedWork W4247246860 @default.
- W2084569901 hasVolume "9" @default.
- W2084569901 isParatext "false" @default.
- W2084569901 isRetracted "false" @default.
- W2084569901 magId "2084569901" @default.
- W2084569901 workType "article" @default.