Tauberian theory for multivariate regularly varying distributions with application to preferential attachment networks
Gespeichert in:
Verfasser / Beitragende:
[Sidney Resnick, Gennady Samorodnitsky]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/3(2015-09-01), 349-367
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10687-015-0216-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10687-015-0216-2 | ||
| 245 | 0 | 0 | |a Tauberian theory for multivariate regularly varying distributions with application to preferential attachment networks |h [Elektronische Daten] |c [Sidney Resnick, Gennady Samorodnitsky] |
| 520 | 3 | |a Abel-Tauberian theorems relate power law behavior of distributions and their transforms. We formulate and prove a multivariate version for non-standard regularly varying measures on ℝ + p $\mathbb {R}_{+}^{p}$ and then apply it to prove that the joint distribution of in- and out-degree in a directed edge preferential attachment model has jointly regularly varying tails. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Multivariate heavy tails |2 nationallicence | |
| 690 | 7 | |a Preferential attachment model |2 nationallicence | |
| 690 | 7 | |a Scale free networks |2 nationallicence | |
| 690 | 7 | |a Tauberian theory |2 nationallicence | |
| 700 | 1 | |a Resnick |D Sidney |u School of Operations Research and Information Engineering, and Department of Statistical Science, Cornell University, 14853, Ithaca, NY, USA |4 aut | |
| 700 | 1 | |a Samorodnitsky |D Gennady |u School of Operations Research and Information Engineering, and Department of Statistical Science, Cornell University, 14853, Ithaca, NY, USA |4 aut | |
| 773 | 0 | |t Extremes |d Springer US; http://www.springer-ny.com |g 18/3(2015-09-01), 349-367 |x 1386-1999 |q 18:3<349 |1 2015 |2 18 |o 10687 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10687-015-0216-2 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10687-015-0216-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Resnick |D Sidney |u School of Operations Research and Information Engineering, and Department of Statistical Science, Cornell University, 14853, Ithaca, NY, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Samorodnitsky |D Gennady |u School of Operations Research and Information Engineering, and Department of Statistical Science, Cornell University, 14853, Ithaca, NY, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Extremes |d Springer US; http://www.springer-ny.com |g 18/3(2015-09-01), 349-367 |x 1386-1999 |q 18:3<349 |1 2015 |2 18 |o 10687 | ||