On the asymptotic distribution of the multinomial maximum with an increasing number of classes

Verfasser / Beitragende:
[C. Houdré, H. Huynh, L. Peng]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/2(2015-06-01), 179-190
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10687-014-0208-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-014-0208-7 
245 0 0 |a On the asymptotic distribution of the multinomial maximum with an increasing number of classes  |h [Elektronische Daten]  |c [C. Houdré, H. Huynh, L. Peng] 
520 3 |a The multinomial maximum is of current interest in several areas of probability and statistics. In the present paper, the asymptotic distribution of the multinomial maximum with an increasing number of classes is discussed. With appropriate assumptions and a natural standardization, the limiting law is shown to be a Gumbel distribution. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Gumbel distribution  |2 nationallicence 
690 7 |a Limit  |2 nationallicence 
690 7 |a Multinomial maximum  |2 nationallicence 
700 1 |a Houdré  |D C.  |u School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA  |4 aut 
700 1 |a Huynh  |D H.  |u Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, USA  |4 aut 
700 1 |a Peng  |D L.  |u Department of Risk Management and Insurance, Georgia State University, Atlanta, GA, USA  |4 aut 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/2(2015-06-01), 179-190  |x 1386-1999  |q 18:2<179  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-014-0208-7  |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 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10687-014-0208-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Houdré  |D C.  |u School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Huynh  |D H.  |u Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Peng  |D L.  |u Department of Risk Management and Insurance, Georgia State University, Atlanta, GA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/2(2015-06-01), 179-190  |x 1386-1999  |q 18:2<179  |1 2015  |2 18  |o 10687