dc.contributor.author | Papadatos, Nickos | en |
dc.contributor.author | Papathanasiou, Vassilis | en |
dc.creator | Papadatos, Nickos | en |
dc.creator | Papathanasiou, Vassilis | en |
dc.date.accessioned | 2019-12-02T10:37:18Z | |
dc.date.available | 2019-12-02T10:37:18Z | |
dc.date.issued | 2002 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57367 | |
dc.description.abstract | The random variables X1, X2,...,Xn are said to be totally negatively dependent (TND) if and only if the random variables Xi and Σj≠i Xj are negatively quadrant dependent for all i. Our main result provides, for TND 0-1 indicators X1, X2,...,Xn with P[Xi = 1] = pi = 1 - P[Xi = 0], an upper bound for the total variation distance between Σi=1n Xi and a Poisson random variable with mean λ ≥ Σi=1n pi. An application to a generalized birthday problem is considered and, moreover, some related results concerning the existence of monotone couplings are discussed. | en |
dc.source | Advances in Applied Probability | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0036754022&doi=10.1239%2faap%2f1033662168&partnerID=40&md5=28e7590db769c9023bed4adfde1efa30 | |
dc.subject | Problem solving | en |
dc.subject | Random processes | en |
dc.subject | Probability | en |
dc.subject | Poisson distribution | en |
dc.subject | Approximation theory | en |
dc.subject | Vectors | en |
dc.subject | Functions | en |
dc.subject | Random variables | en |
dc.subject | Total variation distance | en |
dc.subject | Birthday problem | en |
dc.subject | Chen-Stein equation | en |
dc.subject | Monotone coupling | en |
dc.subject | Negatively related indicator | en |
dc.subject | Poisson approximation | en |
dc.subject | Totally negatively dependent indicator | en |
dc.title | Poisson approximation for a sum of dependent indicators: An alternative approach | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1239/aap/1033662168 | |
dc.description.volume | 34 | |
dc.description.issue | 3 | |
dc.description.startingpage | 609 | |
dc.description.endingpage | 625 | |
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 :7</p> | en |
dc.source.abbreviation | Adv Appl Probab | en |