Extreme value theory in mixture distributions and a statistical method to control the possible bias
- Title
- Extreme value theory in mixture distributions and a statistical method to control the possible bias
- Author
- 최양호
- Keywords
- Mixture distribution; Extreme behavior; Precipitation; Generalized Extreme distribution
- Issue Date
- 2016-12
- Publisher
- KOREAN STATISTICAL SOC
- Citation
- JOURNAL OF THE KOREAN STATISTICAL SOCIETY, v. 45, No. 4, Page. 581-594
- Abstract
- In this paper, extreme behaviors of a mixture distribution are analyzed. We investigate some cases where the mixture distributions are in the proper domain of attraction so that the extreme value of mixture distributions converges to the proper Generalized Extreme Value distribution (GEV). However, in general, there is no guarantee that the distribution of the data is in the proper maximum domain of attraction. Furthermore, since the convergence rate can be slow even with guaranteed asymptotic convergence, GEV estimation method might provide a biased estimation, as shown in Choi et al. (2014). The paper provides a safe method to control the quality of the quantile estimator in extreme values. (C) 2016 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
- URI
- https://www.sciencedirect.com/science/article/pii/S1226319215300557https://repository.hanyang.ac.kr/handle/20.500.11754/71338
- ISSN
- 1226-3192; 1876-4231
- DOI
- 10.1016/j.jkss.2016.04.003
- Appears in Collections:
- COLLEGE OF BUSINESS AND ECONOMICS[E](경상대학) > ACTUARIAL SCIENCE(보험계리학과) > Articles
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