Matches in SemOpenAlex for { <https://semopenalex.org/work/W2167639151> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2167639151 abstract "Consider a family of square-integrable Rd-valued statistics Sk = Sk(X1,k1; X2,k2;…; Xm,km), where the independent samples Xi,kj respectively have ki i.i.d. components valued in some separable metric space Xi. We prove a strong law of large numbers, a central limit theorem and a law of the iterated logarithm for the sequence {Sk}, including both the situations where the sample sizes tend to infinity while m is fixed and those where the sample sizes remain small while m tends to infinity. We also obtain two almost sure convergence results in both these contexts, under the additional assumption that Sk is symmetric in the coordinates of each sample Xi,kj. Some extensions to row-exchangeable and conditionally independent observations are provided. Applications to an estimator of the dimension of a data set and to the Henze-Schilling test statistic for equality of two densities are also presented.Etant donnee une famille de statistiques de carre integrable a valeurs dans Rd Sk = Sk(X1,k1; X2,k/i.2;…; Xm,km), basees sur des echantillons aleatoires mutuellement independents Xi,kj comprenant ki, observations tirees au hasard d'un espace metrique separable Xi, nous demontrons une loi forte des grands nombres, un theoreme de la limite centrale et une loi du logarithme itere pour {Sk} incluant les deux situations ou les tailles echantillonnales croissent a l'infini pour m fixe et ou les tallies echantillonnales demeurent petites pendant que m tend vers l'infini. Nous obtenons egalement deux resultats de convergence presque sǔre dans ces deux cas, sous l'hypothese additionnelle que Sk soit symetrique en ses coordonnees pour chaque echantillon Xi,kj. Certains resultats s'appliquent egalement lorsque les observations sont interchangeables par rangees, d'autres lorsque les observations ne verifient l'independance que conditionnellement. Deux exemples sont analyses en detail: un estimateur de la dimension d'un ensemble de donnees et la statistique de Henze-Schilling pour decider de l'egalite de deux densites." @default.
- W2167639151 created "2016-06-24" @default.
- W2167639151 creator A5085240391 @default.
- W2167639151 date "1995-06-01" @default.
- W2167639151 modified "2023-10-18" @default.
- W2167639151 title "Asymptotics for multisample statistics" @default.
- W2167639151 cites W4213329537 @default.
- W2167639151 doi "https://doi.org/10.2307/3315443" @default.
- W2167639151 hasPublicationYear "1995" @default.
- W2167639151 type Work @default.
- W2167639151 sameAs 2167639151 @default.
- W2167639151 citedByCount "0" @default.
- W2167639151 crossrefType "journal-article" @default.
- W2167639151 hasAuthorship W2167639151A5085240391 @default.
- W2167639151 hasConcept C105795698 @default.
- W2167639151 hasConcept C114614502 @default.
- W2167639151 hasConcept C122123141 @default.
- W2167639151 hasConcept C130594498 @default.
- W2167639151 hasConcept C134306372 @default.
- W2167639151 hasConcept C139907963 @default.
- W2167639151 hasConcept C140479938 @default.
- W2167639151 hasConcept C166785042 @default.
- W2167639151 hasConcept C185429906 @default.
- W2167639151 hasConcept C185767445 @default.
- W2167639151 hasConcept C2778112365 @default.
- W2167639151 hasConcept C33676613 @default.
- W2167639151 hasConcept C33923547 @default.
- W2167639151 hasConcept C39927690 @default.
- W2167639151 hasConcept C54355233 @default.
- W2167639151 hasConcept C70710897 @default.
- W2167639151 hasConcept C7321624 @default.
- W2167639151 hasConcept C86803240 @default.
- W2167639151 hasConceptScore W2167639151C105795698 @default.
- W2167639151 hasConceptScore W2167639151C114614502 @default.
- W2167639151 hasConceptScore W2167639151C122123141 @default.
- W2167639151 hasConceptScore W2167639151C130594498 @default.
- W2167639151 hasConceptScore W2167639151C134306372 @default.
- W2167639151 hasConceptScore W2167639151C139907963 @default.
- W2167639151 hasConceptScore W2167639151C140479938 @default.
- W2167639151 hasConceptScore W2167639151C166785042 @default.
- W2167639151 hasConceptScore W2167639151C185429906 @default.
- W2167639151 hasConceptScore W2167639151C185767445 @default.
- W2167639151 hasConceptScore W2167639151C2778112365 @default.
- W2167639151 hasConceptScore W2167639151C33676613 @default.
- W2167639151 hasConceptScore W2167639151C33923547 @default.
- W2167639151 hasConceptScore W2167639151C39927690 @default.
- W2167639151 hasConceptScore W2167639151C54355233 @default.
- W2167639151 hasConceptScore W2167639151C70710897 @default.
- W2167639151 hasConceptScore W2167639151C7321624 @default.
- W2167639151 hasConceptScore W2167639151C86803240 @default.
- W2167639151 hasLocation W21676391511 @default.
- W2167639151 hasOpenAccess W2167639151 @default.
- W2167639151 hasPrimaryLocation W21676391511 @default.
- W2167639151 hasRelatedWork W2007731756 @default.
- W2167639151 hasRelatedWork W2032822093 @default.
- W2167639151 hasRelatedWork W2124306784 @default.
- W2167639151 hasRelatedWork W2246613416 @default.
- W2167639151 hasRelatedWork W2752055364 @default.
- W2167639151 hasRelatedWork W2962941904 @default.
- W2167639151 hasRelatedWork W2963011528 @default.
- W2167639151 hasRelatedWork W2963049380 @default.
- W2167639151 hasRelatedWork W2963150121 @default.
- W2167639151 hasRelatedWork W2963409810 @default.
- W2167639151 hasRelatedWork W2963770579 @default.
- W2167639151 hasRelatedWork W3004529744 @default.
- W2167639151 hasRelatedWork W3011008510 @default.
- W2167639151 hasRelatedWork W3011544327 @default.
- W2167639151 hasRelatedWork W3011942667 @default.
- W2167639151 hasRelatedWork W3037896866 @default.
- W2167639151 hasRelatedWork W3093563430 @default.
- W2167639151 hasRelatedWork W3098434962 @default.
- W2167639151 hasRelatedWork W3101414622 @default.
- W2167639151 hasRelatedWork W3183850799 @default.
- W2167639151 isParatext "false" @default.
- W2167639151 isRetracted "false" @default.
- W2167639151 magId "2167639151" @default.
- W2167639151 workType "article" @default.