Far East Journal of Theoretical Statistics

The Far East Journal of Theoretical Statistics publishes original research papers and survey articles in the field of theoretical statistics, covering topics such as Bayesian analysis, multivariate analysis, and stochastic processes.

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PROBABILISTIC APPROACH TO RISKS ASSOCIATED WITH TRUNCATED DATA

Authors

  • Mathieu Tiene
  • Wendkouni Yaméogo
  • Bakary Compaoré
  • Diakarya Barro

Keywords:

probabilistic modeling, truncated data, random sample

DOI:

https://doi.org/10.17654/0972086326002

Abstract

This article presents a contribution to probabilistic modeling risks linked to truncated data. We first model that the sample density of the last random sample is given by the truncation of the distribution function. Then we show that our estimator is unbiased, and also the inverse of the variance measures whatever the sample size, the precision of the estimator and if the distribution function is log-concave, then the precision is shown to be much lower than the value to be estimated.

Received: August 20, 2025
Revised: October 15, 2025
Accepted: October 30, 2025

References

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[8] Bradley Efron and Vahé Petrosian, Nonparametric methods for doubly truncated data, J. Amer. Statist. Assoc. 94(447) (1999), 824-834.

[9] Mathieu Tiene, M. Dodo Natatou and Diakarya Barro, Probabilistic method for modeling the conditional extreme quantiles and censored data, Kongzhi yu Juece/Control and Decision 39(2) (2024).

[10] Bewentaore Sawadogo and Diakarya Barro, Space-time trend detection and dependence modeling in extreme event approaches by functional peaks-over thresholds : application to precipitation in Burkina Faso, Int. J. Math. Math. Sci. 2022, Art. ID 2608270, 12 pp. https://doi.org/10.1155/2022/2608270.

Published

2026-01-03

Issue

Section

Articles

How to Cite

PROBABILISTIC APPROACH TO RISKS ASSOCIATED WITH TRUNCATED DATA. (2026). Far East Journal of Theoretical Statistics , 70(1), 17-37. https://doi.org/10.17654/0972086326002

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