Pub Date : 2021-08-12DOI: 10.1201/9781003175414-23
M. Grosser, H. Bumann, H. Wickham
{"title":"Measuring performance","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781003175414-23","DOIUrl":"https://doi.org/10.1201/9781003175414-23","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130007627","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}
Pub Date : 2021-08-12DOI: 10.1201/9781003175414-18
M. Grosser, H. Bumann, H. Wickham
{"title":"Expressions","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781003175414-18","DOIUrl":"https://doi.org/10.1201/9781003175414-18","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130244356","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}
Pub Date : 2019-05-24DOI: 10.1201/9781351201315-16
M. Grosser, H. Bumann, H. Wickham
{"title":"S3","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781351201315-16","DOIUrl":"https://doi.org/10.1201/9781351201315-16","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130369228","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":"Subsetting","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/b17487-5","DOIUrl":"https://doi.org/10.1201/b17487-5","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115315547","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}
Pub Date : 2019-05-24DOI: 10.1201/9781351201315-12
M. Grosser, H. Bumann, H. Wickham
{"title":"Function factories","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781351201315-12","DOIUrl":"https://doi.org/10.1201/9781351201315-12","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122303241","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}
Pub Date : 2019-05-24DOI: 10.1201/9781351201315-24
M. Grosser, H. Bumann, H. Wickham
{"title":"Evaluation","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781351201315-24","DOIUrl":"https://doi.org/10.1201/9781351201315-24","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133677658","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}
Pub Date : 2019-05-24DOI: 10.1201/9781351201315-23
M. Grosser, H. Bumann, H. Wickham
{"title":"Quasiquotation","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781351201315-23","DOIUrl":"https://doi.org/10.1201/9781351201315-23","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123577061","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":"Names and values","authors":"H. Wickham","doi":"10.1201/9781351201315-3","DOIUrl":"https://doi.org/10.1201/9781351201315-3","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130364857","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}
Pub Date : 2019-05-24DOI: 10.1201/9781351201315-17
M. Grosser, H. Bumann, H. Wickham
{"title":"R6","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781351201315-17","DOIUrl":"https://doi.org/10.1201/9781351201315-17","url":null,"abstract":"","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121754793","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}
ОБ ОДНОМ ПРЕДЕЛЕ ДЛЯ ВЫПУКЛЫХ МОНОТОННЫХ ФУНКЦИЙ НА М [0, 1] Д. Г. Сургайлис Настоящая работа является по существу продолжением работы [1], хотя речь пойдет здесь о свойствах более общих функций. Пусть G (G0) означает множество всех монотонно возрастающих функций g=g (z), 0≤∕≤ 1, удовлетворяющих условию 0≤g≤l (соответственно 0
对于m0, 1, surgilis的凸单调函数的一个限制是实际工作本质上是工作的延续，尽管它涉及到更一般函数的性质。设G (G0)意味着许多所有单调递增函数G = G (z), 0≤∕≤1,满足0≤l G G分别≤l (0 < < m)[7(7)(⊂[0,1]的封闭区间或概率bare措施当然很多很多)是所有z就含有载体和弱收敛拓扑结构和关系部分有序w1≤tm2 <措施→4→∫G ^ w1≤∖人人gdm2 G _arg G。空的!m = m (0, 1)用m表示单调和凸起的函数，例如F (w1)和F (m2)对于所有m1、m2eM和0(1)。然而，注意到f类在“两种武器”一般性任务中Rli的价格(见1)(见1)(证据与1和2)几乎没有区别。函数F _argΦ叫线性M(7)(或只是7⊂[0,1])^如果比例(1)等号为mlt m2≡M(7), 0≤a≤1。考虑到类似于证明建议3(见下文)的情况，下一个建议是公平的。建议1。空F线性一世那么F (m) = (F (to) m (dt)为主题(d)措施,注重点z _arg[0, 1]。定义现在在巴拿赫空间限制бэровск函数F = F (m)、主题和规范| | F∣∣= sup∣F (t)的线性算子|γg, g _arg G0 Tg - m→m映射公式公式
{"title":"Functions","authors":"M. Grosser, H. Bumann, H. Wickham","doi":"10.1201/9781351201315-7","DOIUrl":"https://doi.org/10.1201/9781351201315-7","url":null,"abstract":"ОБ ОДНОМ ПРЕДЕЛЕ ДЛЯ ВЫПУКЛЫХ МОНОТОННЫХ ФУНКЦИЙ НА М [0, 1] Д. Г. Сургайлис Настоящая работа является по существу продолжением работы [1], хотя речь пойдет здесь о свойствах более общих функций. Пусть G (G0) означает множество всех монотонно возрастающих функций g=g (z), 0≤∕≤ 1, удовлетворяющих условию 0≤g≤l (соответственно 0<g<l), а М (7) (где 7⊂[0, 1] — замкнутый интервал или конечное множество) — множество всех вероятностных мер Бэра, носитель которых содержится в Z, с топологией слабой сходимости мер и отношением частичного упорядочения w1≤tm2<→ 4→∫g^w1≤ ∖ gdm2 для всех g∈G. Пусть! М=М ([0, 1]). Обозначим Ф класс монотонных и выпуклых функций на М, т.е. таких, что F (w1) ≤ F (m2) для ττz1≤w2 и (1) для всех m1, m2eM и 0≤α≤ 1. Заметим при этом, что классу Ф принадлежит цена Rli в обобщенной задаче о „двух типах оружия“ (см. [1]) (доказательство этого факта мало отличается от доказательств теорем 1 и 2 в [1]). Функцию F∈Φ будем называть линейной на М (7) (или просто на 7⊂ [0, 1]), ^сли в соотношении (1) выполняется знак равенства для mlt m2≡M (7), 0≤a≤ 1. Рассуждая аналогично доказательству предложения 3 (см. ниже), можно убе диться, что справедливо следующее предложение. Предложение 1. Пусть F линейна на I. Тогда F(m)= ( F(to)m(dt) для теМ (Г), где Г — мера, сосредоточенная на точке z∈[0, 1]. Определим теперь на банаховом пространстве ограниченных бэровских -функций F=F(m), теМ с нормой || F∣∣=sup ∣ F (т) | линейный оператор Γg, g∈G0 по формуле где Tg — отображение M→M по формуле","PeriodicalId":137018,"journal":{"name":"Advanced R Solutions","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124748873","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}
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