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The cos-Lindley model with modeling to service times and failure times data.

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Title: The cos-Lindley model with modeling to service times and failure times data.
Authors: Chesneau, Christophe1 (AUTHOR), Bakouch, Hassan S.2,3 (AUTHOR), Tomy, Lishamol4 (AUTHOR), G, Veena5 (AUTHOR) veenagpillai@hotmail.com
Source: International Journal of Modelling & Simulation. Apr2025, Vol. 45 Issue 2, p697-708. 12p.
Subjects: Cosine function, Quality of service, Stress fractures (Orthopedics), Generating functions, Hazard function (Statistics)
Abstract: This paper makes a new contribution to distribution theory and application. In it, we develop and investigate a pliant three-parameter lifetime distribution based on a cosine weighting, called the cos-Lindley distribution. The idea of this weighting is to inject the oscillating behavior of the cosine function to flexibilize the functional capabilities of the Lindley distribution. The presence of a periodic hazard rate function elevates the new distribution in terms of applicability to real-world data sets. The main properties of the cos-Lindley distribution, such as the moments and moment generating function, are investigated. A maximum likelihood approach is considered for the study of the estimation of the model parameters. Three real-world data sets on the service times of the windshield and the lifetimes of fatigue fracture of Kevlar are taken into account to demonstrate the utility and robustness of the model. In particular, it is shown that the cos-Lindley model can outperform the Lindley, modified Lindley, and new exponential trigonometric models. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 184193918
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PubTypeId: academicJournal
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  Data: The cos-Lindley model with modeling to service times and failure times data.
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  Data: <searchLink fieldCode="AR" term="%22Chesneau%2C+Christophe%22">Chesneau, Christophe</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bakouch%2C+Hassan+S%2E%22">Bakouch, Hassan S.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tomy%2C+Lishamol%22">Tomy, Lishamol</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22G%2C+Veena%22">G, Veena</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> veenagpillai@hotmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modelling+%26+Simulation%22">International Journal of Modelling & Simulation</searchLink>. Apr2025, Vol. 45 Issue 2, p697-708. 12p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Cosine+function%22">Cosine function</searchLink><br /><searchLink fieldCode="DE" term="%22Quality+of+service%22">Quality of service</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+fractures+%28Orthopedics%29%22">Stress fractures (Orthopedics)</searchLink><br /><searchLink fieldCode="DE" term="%22Generating+functions%22">Generating functions</searchLink><br /><searchLink fieldCode="DE" term="%22Hazard+function+%28Statistics%29%22">Hazard function (Statistics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper makes a new contribution to distribution theory and application. In it, we develop and investigate a pliant three-parameter lifetime distribution based on a cosine weighting, called the cos-Lindley distribution. The idea of this weighting is to inject the oscillating behavior of the cosine function to flexibilize the functional capabilities of the Lindley distribution. The presence of a periodic hazard rate function elevates the new distribution in terms of applicability to real-world data sets. The main properties of the cos-Lindley distribution, such as the moments and moment generating function, are investigated. A maximum likelihood approach is considered for the study of the estimation of the model parameters. Three real-world data sets on the service times of the windshield and the lifetimes of fatigue fracture of Kevlar are taken into account to demonstrate the utility and robustness of the model. In particular, it is shown that the cos-Lindley model can outperform the Lindley, modified Lindley, and new exponential trigonometric models. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/02286203.2023.2237844
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 697
    Subjects:
      – SubjectFull: Cosine function
        Type: general
      – SubjectFull: Quality of service
        Type: general
      – SubjectFull: Stress fractures (Orthopedics)
        Type: general
      – SubjectFull: Generating functions
        Type: general
      – SubjectFull: Hazard function (Statistics)
        Type: general
    Titles:
      – TitleFull: The cos-Lindley model with modeling to service times and failure times data.
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            NameFull: Chesneau, Christophe
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          Name:
            NameFull: Bakouch, Hassan S.
      – PersonEntity:
          Name:
            NameFull: Tomy, Lishamol
      – PersonEntity:
          Name:
            NameFull: G, Veena
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          Dates:
            – D: 01
              M: 04
              Text: Apr2025
              Type: published
              Y: 2025
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              Value: 02286203
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              Value: 45
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              Value: 2
          Titles:
            – TitleFull: International Journal of Modelling & Simulation
              Type: main
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