{"title":"Rates of the Strong Uniform Consistency for the Kernel-Type Regression Function Estimators with General Kernels on Manifolds","authors":"S. Bouzebda, Nourelhouda Taachouche","doi":"10.3103/S1066530723010027","DOIUrl":"https://doi.org/10.3103/S1066530723010027","url":null,"abstract":"","PeriodicalId":46039,"journal":{"name":"Mathematical Methods of Statistics","volume":"32 1","pages":"27 - 80"},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47130087","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":"Tail and Quantile Estimation for Real-Valued $$boldsymbol{beta}$$-Mixing Spatial Data","authors":"Tchamiè Tchazino, S. Dabo‐Niang, A. Diop","doi":"10.3103/s1066530722040044","DOIUrl":"https://doi.org/10.3103/s1066530722040044","url":null,"abstract":"","PeriodicalId":46039,"journal":{"name":"Mathematical Methods of Statistics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46110909","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":"Bounds on the Expectations of $$boldsymbol{L}$$ -Statistics Based on iid Life Distributions","authors":"Tomasz Rychlik","doi":"10.3103/s1066530722020041","DOIUrl":"https://doi.org/10.3103/s1066530722020041","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We consider the order statistics based on independent identically distributed non-negative random variables. We determine sharp upper bounds on the expectations of arbitrary linear combinations of order statistics, expressed in the scale units being the <span>(p)</span>th roots of <span>(p)</span>th raw moments of original variables for various <span>(pgeq 1)</span>. The bounds are more precisely described for the single order statistics and spacings. The lower bounds are concluded from the upper ones.</p>","PeriodicalId":46039,"journal":{"name":"Mathematical Methods of Statistics","volume":"68 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138542497","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}
AbdelKader El Moumen, Salim Benslimane, S. Rahmani
{"title":"Robbins–Monro Algorithm with \u0000 \u0000 \u0000 \u0000 $$boldsymbol{psi}$$\u0000 \u0000 -Mixing Random Errors","authors":"AbdelKader El Moumen, Salim Benslimane, S. Rahmani","doi":"10.3103/S1066530722030024","DOIUrl":"https://doi.org/10.3103/S1066530722030024","url":null,"abstract":"","PeriodicalId":46039,"journal":{"name":"Mathematical Methods of Statistics","volume":"31 1","pages":"105-119"},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46024994","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}