{"title":"A proof and an application of the continuous parameter martingale convergence theorem","authors":"Joe Ghafari","doi":"10.1080/27684520.2023.2261429","DOIUrl":"https://doi.org/10.1080/27684520.2023.2261429","url":null,"abstract":"A proof of the continuous parameter martingale convergence theorem is provided. It relies on a classical martingale inequality and the almost sure convergence of a uniformly bounded non-negative super-martingale. A probabilistic proof of Liouville’s theorem is also presented applying the continuous parameter martingale convergence theorem.","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"210 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135645248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Public health monitoring using control charts based on convex hull","authors":"S. Bersimis, A. Sachlas, Economou Polychronis","doi":"10.1080/27684520.2023.2246448","DOIUrl":"https://doi.org/10.1080/27684520.2023.2246448","url":null,"abstract":"","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125062312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On discriminating between Libby-Novick generalized beta and Kumaraswamy distributions: theory and methods","authors":"I. Ghosh","doi":"10.1080/27684520.2023.2244951","DOIUrl":"https://doi.org/10.1080/27684520.2023.2244951","url":null,"abstract":"In fitting a continuous bounded data, the generalized beta (and several variants of this distribution) and the two-parameter Kumaraswamy (KW) distributions are the two most prominent univariate continuous distributions that come to our mind. There are some common features between these two rival probability models and to select one of them in a practical situation can be of great interest. Consequently, in this paper, wediscussvariousmethodsofselectionbetweenthegeneralizedbetaproposedbyLibbyandNovick(1982) (LNGB)andtheKWdistributions,suchasthecriteriabasedonprobabilityofcorrectselectionwhichisanimprovementoverthelikelihoodratiostatisticapproach,andalsobasedonpseudo-distancemeasures.We obtain an approximation for the probability of correct selection under the hypotheses H LNGB and H KW , and selectthemodelthatmaximizesit.However,ourproposalismoreappealinginthesensethatweprovidethe comparisonstudyfortheLNGBdistributionthatsubsumesbothtypesofclassicalbetaandexponentiatedgenerators(see,fordetails,Cordeiroetal.2014;LibbyandNovick1982)whichcanbeanaturalcompetitor ofatwo-parameterKWdistributioninanappropriatescenario.","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126918063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Barría-Sandoval, G. Ferreira, Maritza Espinoza Venegas, Vicente Marchant
{"title":"Interpretable machine learning for mortality modeling on patients with chronic diseases considering the COVID-19 pandemic in a region of Chile: A Shapley value based approach","authors":"C. Barría-Sandoval, G. Ferreira, Maritza Espinoza Venegas, Vicente Marchant","doi":"10.1080/27684520.2023.2240334","DOIUrl":"https://doi.org/10.1080/27684520.2023.2240334","url":null,"abstract":"","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123309635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"From fact to fake: The importance of being significant","authors":"U. Hassler","doi":"10.1080/27684520.2023.2236995","DOIUrl":"https://doi.org/10.1080/27684520.2023.2236995","url":null,"abstract":"","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121167992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A retrospective study of transition-specific risk factors of maternal morbidity in northeast India: a multistage modelling approach","authors":"Wahengbam Bigyananda Meitei, L. Ladusingh","doi":"10.1080/27684520.2023.2236091","DOIUrl":"https://doi.org/10.1080/27684520.2023.2236091","url":null,"abstract":"","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"200 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123023464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematical modelling of biological populations with and without dispersion","authors":"V. P. Saxena","doi":"10.1080/27684520.2023.2215638","DOIUrl":"https://doi.org/10.1080/27684520.2023.2215638","url":null,"abstract":"","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115238950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}