Bayesian inference for extreme quantiles of heavy tailed distributions

被引:2
|
作者
Farias, Rafael B. A. [1 ]
Montoril, Michel H. [2 ]
Andrade, Jose A. A. [1 ]
机构
[1] Univ Fed Ceara, Dept Stat & Appl Math, Fortaleza, Ceara, Brazil
[2] Univ Fed Juiz de Fora, Dept Stat, Juiz De Fora, Brazil
基金
巴西圣保罗研究基金会;
关键词
High quantile; HPD interval; Heavy tail; MODELS;
D O I
10.1016/j.spl.2016.02.020
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We propose a new method for estimating extremes quantiles of a wide class of heavy-tailed distributions. Our proposal makes Bayesian inference on extreme quantiles through High Posterior Density intervals. We evaluate the performance of the proposal by numerical results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:103 / 107
页数:5
相关论文
共 50 条
  • [21] Bayesian inference of mixed-effects ordinary differential equations models using heavy-tailed distributions
    Liu, Baisen
    Wang, Liangliang
    Nie, Yunlong
    Cao, Jiguo
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2019, 137 : 233 - 246
  • [22] A new extreme quantile estimator for heavy-tailed distributions
    Fils, A
    Guillou, A
    COMPTES RENDUS MATHEMATIQUE, 2004, 338 (06) : 493 - 498
  • [23] BAYESIAN INFERENCE ON MULTIVARIATE MEDIANS AND QUANTILES
    Bhattacharya, Indrabati
    Ghosal, Subhashis
    STATISTICA SINICA, 2022, 32 (01) : 517 - 538
  • [24] Bayesian Forecasting of Dynamic Extreme Quantiles
    Johnston, Douglas E.
    FORECASTING, 2021, 3 (04): : 729 - 740
  • [25] A Bayesian nonparametric approach to causal inference on quantiles
    Xu, Dandan
    Daniels, Michael J.
    Winterstein, Almut G.
    BIOMETRICS, 2018, 74 (03) : 986 - 996
  • [26] ON SEMIPARAMETRIC PIVOTAL BAYESIAN-INFERENCE FOR QUANTILES
    SWARTZ, TB
    VILLEGAS, C
    MARTINEZ, CJ
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1995, 24 (10) : 2499 - 2515
  • [27] Statistical inference for extreme extremile in heavy-tailed heteroscedastic regression model
    Chen, Yu
    Ma, Mengyuan
    Sun, Hongfang
    INSURANCE MATHEMATICS & ECONOMICS, 2023, 111 : 142 - 162
  • [28] Robust inference for the mean in the presence of serial correlation and heavy-tailed distributions
    McElroy, T
    Politis, DN
    ECONOMETRIC THEORY, 2002, 18 (05) : 1019 - 1039
  • [29] Estimation and Inference of Extremal Quantile Treatment Effects for Heavy-Tailed Distributions
    Deuber, David
    Li, Jinzhou
    Engelke, Sebastian
    Maathuis, Marloes H.
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2024, 119 (547) : 2206 - 2216
  • [30] Estimating extreme quantiles of Weibull tail distributions
    Gardes, L
    Girard, S
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2005, 34 (05) : 1065 - 1080