https://orcid.org/0000-0002-9513-0718
References
- Banfi, F., G. Cazzaniga, and C. De Michele. 2022. Nonparametric extrapolation of extreme quantiles: a comparison study. Stochastic Environmental Research and Risk Assessment 36 (6):1579–96. doi:10.1007/s00477-021-02102-0.
- Beirlant, J., Y. Goegebeur, J. Teugels, and J. Segers. 2004. Statistics of extremes: theory and applications. Chichester: John Wiley & Sons, Ltd.
- Del Castillo, J., and I. Serra. 2015. Likelihood inference for generalized Pareto distribution. Computational Statistics & Data Analysis 83:116–28. doi:10.1016/j.csda.2014.10.014.
- Hall, P., and I. Weissman. 1997. On the estimation of extreme tail probabilities. The Annals of Statistics25:1311–26.
- Hall, P., and A. H. Welsh. 1984. Best attainable rates of convergence for estimates of parameters of regular variation. The Annals of Statistics 12 (3):1079–84.
- Kang, S., and J. Song. 2017. Parameter and quantile estimation for the generalized Pareto distribution in peaks over threshold framework. Journal of the Korean Statistical Society 46 (4):487–501. doi:10.1016/j.jkss.2017.02.003.
- Kiriliouk, A., H. Rootzén, J. Segers, and J. L. Wadsworth. 2019. peaks over thresholds modeling with multivariate generalized pareto distributions. Technometrics 61 (1):123–35. doi:10.1080/00401706.2018.1462738.
- Moriyama, T. 2021. Parametric and nonparametric probability distribution estimators of sample maximum, arXiv preprint, arXiv:2111.03765.
- Pickands, J. 1975. Statistical inference using extreme order statistics. The Annals of Statistics 3 (1):119–31.
- Rudvik, A. 2012. Dependence structures in stable mixture models with an application to extreme precipitation. Licentiate thesis, Chalmers University of Technology, Gothenburg, Sweden.
- Shimokihara, A., and Y. Maesono. 2018. Asymptotic mean squared error of kernel estimator of excess distribution function. Bulletin of Informatics and Cybernetics 50:51–64. doi:10.5109/2233859.
- Smith, R. L. 1987. Estimating tails of probability distributions. The Annals of Statistics 15 (3):1174–1207.
- Stupfler, G. 2016. Estimating the conditional extreme-value index under random right-censoring. Journal of Multivariate Analysis 144:1–24. doi:10.1016/j.jmva.2015.10.015.
- Wand, M. P., and M. C. Jones. 1995. Kernel smoothing. London: Chapman & Hall.
- Zhang, Jin. 2007. Likelihood moment estimation for the generalized pareto distribution. Australian & New Zealand Journal of Statistics 49 (1):69–77. doi:10.1111/j.1467-842X.2006.00464.x.