FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104630436> ?p ?o ?g. }

• W3104630436 abstract "Stochastic approximation algorithms have been the subject of an enormous body of literature, both theoretical and applied. Recently, Laruelle and Pag`es (2013) presented a link between the stochastic approximation and response-adaptive designs in clinical trials based on randomized urn models investigated in Bai and Hu (1999, 2005), and derived the asymptotic normality or central limit theorem for the normalized procedure using a central limit theorem for the stochastic approximation algorithm. However, the classical central limit theorem for the stochastic approximation algorithm does not include all cases of its regression function, creating a gap between the results of Laruelle and Pag`es (2013) and those of Bai and Hu (2005) for randomized urn models. In this paper, we establish new central limit theorems of the stochastic approximation algorithm under the popular Lindeberg condition to fill this gap. Moreover, we prove that the process of the algorithms can be approximated by a Gaussian process that is a solution of a stochastic differential equation. In our application, we investigate a more involved family of urn models and related adaptive designs in which it is possible to remove the balls from the urn, and the expectation of the total number of balls updated at each stage is not necessary a constant. The asymptotic properties are derived under much less stringent assumptions than those in Bai and Hu (1999, 2005) and Laruelle and Pag`es (2013)." @default.
• W3104630436 created "2020-11-23" @default.
• W3104630436 creator A5032012513 @default.
• W3104630436 date "2016-12-01" @default.
• W3104630436 modified "2023-09-30" @default.
• W3104630436 title "Central limit theorems of a recursive stochastic algorithm with applications to adaptive designs" @default.
• W3104630436 cites W1566766029 @default.
• W3104630436 cites W1568229137 @default.
• W3104630436 cites W172587499 @default.
• W3104630436 cites W1964327778 @default.
• W3104630436 cites W1976233730 @default.
• W3104630436 cites W1977728402 @default.
• W3104630436 cites W1987794091 @default.
• W3104630436 cites W2002682396 @default.
• W3104630436 cites W2005370434 @default.
• W3104630436 cites W2014712015 @default.
• W3104630436 cites W2029966711 @default.
• W3104630436 cites W2034477716 @default.
• W3104630436 cites W2059607173 @default.
• W3104630436 cites W2087999561 @default.
• W3104630436 cites W2092872439 @default.
• W3104630436 cites W2117394411 @default.
• W3104630436 cites W2125812768 @default.
• W3104630436 cites W2155564132 @default.
• W3104630436 cites W2155841350 @default.
• W3104630436 cites W2158180736 @default.
• W3104630436 cites W2235056388 @default.
• W3104630436 cites W2315871759 @default.
• W3104630436 cites W2493289085 @default.
• W3104630436 cites W2797066131 @default.
• W3104630436 cites W3098422156 @default.
• W3104630436 cites W3100550293 @default.
• W3104630436 cites W4233241393 @default.
• W3104630436 cites W4234110039 @default.
• W3104630436 cites W4244638572 @default.
• W3104630436 doi "https://doi.org/10.1214/16-aap1187" @default.
• W3104630436 hasPublicationYear "2016" @default.
• W3104630436 type Work @default.
• W3104630436 sameAs 3104630436 @default.
• W3104630436 citedByCount "19" @default.
• W3104630436 countsByYear W31046304362016 @default.
• W3104630436 countsByYear W31046304362017 @default.
• W3104630436 countsByYear W31046304362018 @default.
• W3104630436 countsByYear W31046304362019 @default.
• W3104630436 countsByYear W31046304362020 @default.
• W3104630436 countsByYear W31046304362021 @default.
• W3104630436 countsByYear W31046304362022 @default.
• W3104630436 countsByYear W31046304362023 @default.
• W3104630436 crossrefType "journal-article" @default.
• W3104630436 hasAuthorship W3104630436A5032012513 @default.
• W3104630436 hasBestOaLocation W31046304362 @default.
• W3104630436 hasConcept C105795698 @default.
• W3104630436 hasConcept C121332964 @default.
• W3104630436 hasConcept C134306372 @default.
• W3104630436 hasConcept C151201525 @default.
• W3104630436 hasConcept C163716315 @default.
• W3104630436 hasConcept C166785042 @default.
• W3104630436 hasConcept C26517878 @default.
• W3104630436 hasConcept C28826006 @default.
• W3104630436 hasConcept C33923547 @default.
• W3104630436 hasConcept C38652104 @default.
• W3104630436 hasConcept C41008148 @default.
• W3104630436 hasConcept C51955184 @default.
• W3104630436 hasConcept C55479107 @default.
• W3104630436 hasConcept C62520636 @default.
• W3104630436 hasConcept C8272713 @default.
• W3104630436 hasConceptScore W3104630436C105795698 @default.
• W3104630436 hasConceptScore W3104630436C121332964 @default.
• W3104630436 hasConceptScore W3104630436C134306372 @default.
• W3104630436 hasConceptScore W3104630436C151201525 @default.
• W3104630436 hasConceptScore W3104630436C163716315 @default.
• W3104630436 hasConceptScore W3104630436C166785042 @default.
• W3104630436 hasConceptScore W3104630436C26517878 @default.
• W3104630436 hasConceptScore W3104630436C28826006 @default.
• W3104630436 hasConceptScore W3104630436C33923547 @default.
• W3104630436 hasConceptScore W3104630436C38652104 @default.
• W3104630436 hasConceptScore W3104630436C41008148 @default.
• W3104630436 hasConceptScore W3104630436C51955184 @default.
• W3104630436 hasConceptScore W3104630436C55479107 @default.
• W3104630436 hasConceptScore W3104630436C62520636 @default.
• W3104630436 hasConceptScore W3104630436C8272713 @default.
• W3104630436 hasIssue "6" @default.
• W3104630436 hasLocation W31046304361 @default.
• W3104630436 hasLocation W31046304362 @default.
• W3104630436 hasLocation W31046304363 @default.
• W3104630436 hasLocation W31046304364 @default.
• W3104630436 hasOpenAccess W3104630436 @default.
• W3104630436 hasPrimaryLocation W31046304361 @default.
• W3104630436 hasRelatedWork W1497877938 @default.
• W3104630436 hasRelatedWork W1547145949 @default.
• W3104630436 hasRelatedWork W2000590794 @default.
• W3104630436 hasRelatedWork W2001404625 @default.
• W3104630436 hasRelatedWork W2042585404 @default.
• W3104630436 hasRelatedWork W2769873724 @default.
• W3104630436 hasRelatedWork W2937115754 @default.
• W3104630436 hasRelatedWork W3104630436 @default.
• W3104630436 hasRelatedWork W4300581904 @default.
• W3104630436 hasRelatedWork W4307626464 @default.
• W3104630436 hasVolume "26" @default.
• W3104630436 isParatext "false" @default.

• next