Skip to main content

Priority statement and some properties of t-lgHill estimator


We acknowledge the priority on the introduction of the formula of t-lgHill estimator for the positive extreme value index. We provide a novel motivation for this estimator based on ecologically driven dynamical systems. Another motivation is given directly by applying the general t-Hill procedure to log-gamma distribution. We illustrate the good quality of t-lgHill estimator in comparison to classical Hill estimator on the novel data of the concentration of arsenic in drinking water in the rural area of the Arica and Parinacota Region, Chile.


Download references


Open access funding provided by Johannes Kepler University Linz. We acknowledge the very professional support of Editor-in-Chief Professor Thomas Mikosch, the unknown Associate Editor and Referee for their constructive comments.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Milan Stehlík.

Ethics declarations

Conflict of interests

The authors declare that they have no conflict of interest.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

We acknowledge support of research grants LIT-2016-1-SEE-023, the bilateral project Bulgaria -Austria, 2016–2019, ‘Feasible statistical modeling for extremes in ecology and finance’, BNSF, Contract number 01/8, 23/08/2017 and WTZ Project No. BG 09/2017, https:// The authors are grateful also to bilateral project HU 11/2016, Proyecto UTA MAYOR 4746-19, the Slovak Research and Development Agency under the contract No. APVV-17-0568, the Czech Science Foundation under the project No. GA16-07089S and FONDECYT N1171832.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Stehlík, M., Kiseľák, J., Vaičiulis, M. et al. Priority statement and some properties of t-lgHill estimator. Extremes 23, 493–499 (2020).

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI:


  • T-lgHill estimator
  • Hill estimator
  • T-score estimation
  • Asymptotic normality
  • Levels of arsenic in drinking water

AMS 2000 Subject Classifications

  • 62F10
  • 62F12