二元累积分布函数的非参数估计

IF 0.9 Q2 MATHEMATICS Arabian Journal of Mathematics Pub Date : 2024-12-06 DOI:10.1007/s40065-024-00489-6

Behzad Mansouri, Azam Rastin, Habib Allah Mombeni

{"title":"二元累积分布函数的非参数估计","authors":"Behzad Mansouri, Azam Rastin, Habib Allah Mombeni","doi":"10.1007/s40065-024-00489-6","DOIUrl":null,"url":null,"abstract":"<div><p>This paper proposes a nonparametric estimation of the cumulative distribution function of bivariate bounded data using the Birnbaum–Saunders kernel. We obtain its asymptotic properties and conduct a numerical study. The results demonstrate the superiority of the proposed estimator over the empirical distribution function and ordinary kernel estimator. We use the proposed estimator to analyse a real data set.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"621 - 632"},"PeriodicalIF":0.9000,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00489-6.pdf","citationCount":"0","resultStr":"{\"title\":\"Nonparametric estimation of bivariate cumulative distribution function\",\"authors\":\"Behzad Mansouri, Azam Rastin, Habib Allah Mombeni\",\"doi\":\"10.1007/s40065-024-00489-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper proposes a nonparametric estimation of the cumulative distribution function of bivariate bounded data using the Birnbaum–Saunders kernel. We obtain its asymptotic properties and conduct a numerical study. The results demonstrate the superiority of the proposed estimator over the empirical distribution function and ordinary kernel estimator. We use the proposed estimator to analyse a real data set.</p></div>\",\"PeriodicalId\":54135,\"journal\":{\"name\":\"Arabian Journal of Mathematics\",\"volume\":\"13 3\",\"pages\":\"621 - 632\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-12-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40065-024-00489-6.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arabian Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40065-024-00489-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arabian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40065-024-00489-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文利用Birnbaum-Saunders核对二元有界数据的累积分布函数进行了非参数估计。我们得到了它的渐近性质，并进行了数值研究。结果表明，该估计量优于经验分布函数和普通核估计量。我们使用所提出的估计量来分析一个真实的数据集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Nonparametric estimation of bivariate cumulative distribution function

This paper proposes a nonparametric estimation of the cumulative distribution function of bivariate bounded data using the Birnbaum–Saunders kernel. We obtain its asymptotic properties and conduct a numerical study. The results demonstrate the superiority of the proposed estimator over the empirical distribution function and ordinary kernel estimator. We use the proposed estimator to analyse a real data set.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.