Estimating Extreme Quantiles of Unknown Distributions using the Peak Over Thresholds Method

The purpose of this paper is to present an analytically easy-to-use procedure for estimating extreme quantiles of continuous random variables using the Peak Over Threshold approach and a statistically sound approach to the problem of threshold selection that needs to be resolved in this context. A web link included in the text points to a ready-to-use implementation of the proposed method in the popular programming language Python.

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Publication Details

Journal
Journal of Modern Applied Statistical Methods
Published
2024-10-18
DOI
https://doi.org/10.56801/jmasm.v24.i1.3
Primary Topic
Statistical Methods and Inference
Type
article
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article

Estimating Extreme Quantiles of Unknown Distributions using the Peak Over Thresholds Method

Sikandar Siddiqui, Mahfuza Khatun
Journal of Modern Applied Statistical Methods
Statistical Methods and Inference
article

Estimating Extreme Quantiles of Unknown Distributions using the Peak Over Thresholds Method

Sikandar Siddiqui, Mahfuza Khatun
article en

Abstract

The purpose of this paper is to present an analytically easy-to-use procedure for estimating extreme quantiles of continuous random variables using the Peak Over Threshold approach and a statistically sound approach to the problem of threshold selection that needs to be resolved in this context. A web link included in the text points to a ready-to-use implementation of the proposed method in the popular programming language Python.

Journal of Modern Applied Statistical MethodsVol. 24(1)
Deloitte (United States) (US), Jahangirnagar University (BD)
Openalex Percentile: Top 76%
Statistical Methods and Inference
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