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Mr. Mehrdad Norouzi Firooz, Hossein Jabbari Khamnei, Ali Akbar Heydari, Volume 20, Issue 1 (9-2026)
Abstract
The aim of this paper is to develop statistical inference methods for the Lindley-Weibull distribution when only upper record values are available. Using record theory, likelihood functions for parameter estimation are derived, and maximum likelihood estimators are presented. Additionally, a method for predicting future records based on observed records is proposed. The performance of the methods is evaluated through a simulation study and an application to real flood discharge data. The results indicate that the Lindley-Weibull distribution has high flexibility in modeling record data, and the proposed inference methods have appropriate accuracy.
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