Tauberian theory for multivariate regularly varying distributions with application to preferential attachment networks

Verfasser / Beitragende:
[Sidney Resnick, Gennady Samorodnitsky]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/3(2015-09-01), 349-367
Format:
Artikel (online)
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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 
898 |a BK010053  |b XK010053  |c XK010000 
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