| dc.contributor.author | Christofides, Tasos C. | en |
| dc.creator | Christofides, Tasos C. | en |
| dc.date.accessioned | 2019-12-02T10:34:27Z | |
| dc.date.available | 2019-12-02T10:34:27Z | |
| dc.date.issued | 1992 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56639 | |
| dc.description.abstract | A U-statistic is defined based on a symmetric kernel h and on a collection of r-dimensionally indexed independent random variables from a distribution F. The simplest case of such a U-statistic is the sample mean of an array of multidimensionally indexed random variables. In this paper, we present the strong law of large numbers for this class of U-statistics under the moment condition EF{|h| (log+ |h|)r-1} < ∞, thus generalizing the strong law of large numbers of Smythe (1973) and Etemadi (1981). © 1992. | en |
| dc.source | Journal of Statistical Planning and Inference | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-38249012065&doi=10.1016%2f0378-3758%2892%2990025-N&partnerID=40&md5=27f4bafe69609a7b375253be2650b023 | |
| dc.subject | U-statistics | en |
| dc.subject | multidimensionally indexed random variables | en |
| dc.subject | strong law of large numbers | en |
| dc.title | A strong law of large numbers for U-statistics | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/0378-3758(92)90025-N | |
| dc.description.volume | 31 | |
| dc.description.issue | 2 | |
| dc.description.startingpage | 133 | |
| dc.description.endingpage | 145 | |
| dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
| dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
| dc.type.uhtype | Article | en |
| dc.description.notes | <p>Cited By :2</p> | en |
| dc.source.abbreviation | J.Stat.Plann.Inference | en |
| dc.contributor.orcid | Christofides, Tasos C. [0000-0001-6121-0683] | |
| dc.gnosis.orcid | 0000-0001-6121-0683 | |
