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A new three-parameter lifetime distribution for environmental data analysis: the Harris extended modified Lindley distribution

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Abstract

Statistical modeling data is crucial for identifying patterns, correlations, and trends that can be used to make informed decisions and put sustainable management practices into practice for the preservation of the environment and its resources. It is a useful method for assessing hazards, predicting impacts, and determining the efficacy of environmental policies and initiatives. This study introduces the Harris extended modified Lindley (HEML) distribution, a novel three-parameter lifetime distribution, to model environmental data. It is a modification of the Lindley distribution with the addition of two parameters. The paper covers its core properties, including the shapes of the related functions, tail behavior, moments, incomplete moments, inverted moments, order statistics, mean residual life function, and Rényi entropy. The adaptability of the hazard rate function for modeling increasing (and remaining constant), and decreasing data, after which it remains constant, is demonstrated. The evaluation of the developed model is conducted from a statistical perspective. The estimation of the parameters is performed using the maximum likelihood estimation method, a widely used statistical technique in the field of research. Additionally, a simulation analysis is carried out to further investigate the estimation’s behavior. This study employs two real-world datasets to exemplify the versatility of the proposed model within the context of environmental data analysis. Additionally, the model’s performance is compared to that of prominent competing models, thereby providing a comprehensive evaluation of its efficacy.

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Author notes

  1. Lishamol Tomy, G. Veena and Christophe Chesneau have contributed equally to this work.

Authors and Affiliations

  1. Department of Statistics, Deva Matha College, Kuravilangad, Kerala, 686633, India

    Lishamol Tomy

  2. Department of Statistics, St. Thomas College, Palai, Kerala, 686574, India

    G. Veena

  3. Department of Mathematics, LMNO, University of Caen, 14032, Caen, France

    Christophe Chesneau

Authors
  1. Lishamol Tomy
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  2. G. Veena
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  3. Christophe Chesneau
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Correspondence to G. Veena.

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Tomy, L., Veena, G. & Chesneau, C. A new three-parameter lifetime distribution for environmental data analysis: the Harris extended modified Lindley distribution. Int J Data Sci Anal (2024). https://doi.org/10.1007/s41060-024-00505-0

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