dc.contributor.author | Cacoullos, Theophilos | en |
dc.contributor.author | Papadatos, Nickos | en |
dc.contributor.author | Papathanasiou, Vassilis | en |
dc.creator | Cacoullos, Theophilos | en |
dc.creator | Papadatos, Nickos | en |
dc.creator | Papathanasiou, Vassilis | en |
dc.date.accessioned | 2019-12-02T10:34:10Z | |
dc.date.available | 2019-12-02T10:34:10Z | |
dc.date.issued | 1997 | |
dc.identifier.issn | 0040-585X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56562 | |
dc.description.abstract | A simple estimate for the error in the CLT, valid for a wide class of absolutely continuous r.v.'s, is derived without Fourier techniques. This is achieved by using a simple convolution inequality for the variance of covariance kernels or w-functions in conjunction with bounds for the total variation distance. The results are extended to the multivariate case. Finally, a simple proof of the classical Darmois-Skitovich characterization of normality is obtained. | en |
dc.source | Theory of Probability and its Applications | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0011177944&partnerID=40&md5=db31b2fb0eec5db7087fe0e48a67f635 | |
dc.subject | Rate of convergence | en |
dc.subject | Characterization of normality | en |
dc.subject | CLT | en |
dc.subject | Convolution inequality | en |
dc.subject | Covariance kernels | en |
dc.title | Variance inequalities for covariance kernels and applications to central limit theorems | en |
dc.type | info:eu-repo/semantics/article | |
dc.description.volume | 42 | |
dc.description.issue | 1 | |
dc.description.startingpage | 149 | |
dc.description.endingpage | 162 | |
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 :6</p> | en |
dc.source.abbreviation | Theory Probab.Appl. | en |