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Extended two-tailed Lindley distribution: An updated model based on the Lindley distribution

  • C. Satheesh Kumar EMAIL logo and Rosmi Jose
Published/Copyright: February 1, 2025

Abstract

Here we study some important properties of the two-tailed Lindley distribution (TLD) and propose a location-scale extension of the TLD. Several properties of the extended TLD are also obtained and an attempt has been made for estimating its parameters by the method of maximum likelihood, along with brief discussion on the existence of the estimators. Further, the distribution is fitted to certain real life data sets for illustrating the utility of the model. A simulation study is carried out for assessing the performance of likelihood estimators of the parameters of the distribution.

MSC 2020: 60E05; 60E07; 62F10
  1. Communicated by: Anatoly F. Turbin

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Received: 2023-11-20
Accepted: 2024-10-05
Published Online: 2025-02-01
Published in Print: 2025-06-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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