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Asymptotic distribution of normalized maximum under finite mixture models
- Source :
-
Statistics & Probability Letters . Oct2004, Vol. 70 Issue 1, p109-117. 9p. - Publication Year :
- 2004
-
Abstract
- In this paper, we study the asymptotic distribution of the generally normalized maximum under finite mixture models. In one of the two theorems presented, we obtain a necessary and sufficient condition for this weak convergence, as well as the limit forms. The second theorem gives sufficient conditions for this convergence when the components of the mixture have different general normalizations. Examples are given to illustrate the applications of the two theorems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01677152
- Volume :
- 70
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Statistics & Probability Letters
- Publication Type :
- Periodical
- Accession number :
- 14648647
- Full Text :
- https://doi.org/10.1016/j.spl.2004.08.010