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An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study

Author

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  • Zafar Mahmood
  • Taghreed M Jawa
  • Neveen Sayed-Ahmed
  • E M Khalil
  • Abdisalam Hassan Muse
  • Ahlam H. Tolba
  • Dost Muhammad Khan

Abstract

An extension of the cosine generalized family is presented in this paper by using the cosine trigonometric function and method of parameter induction concurrently. Prominent characteristics of the proposed family along with useful results are extracted. Moreover, two new subfamilies and several special models are also deduced. A four-parameter model called an Extended Cosine Weibull (ECW) with its mathematical properties is studied deeply. Graphical study reveals that the new model adopts right- and left-skewed, symmetrical, and reversed-J density shapes, while all possible monotone and nonmonotone shapes are exhibited by the hazard rate function. The maximum likelihood technique is exercised for parametric estimation, while estimation performance is accessed via Monte Carlo simulation study graphically and numerically. The superiority of the presented model over several outstanding and competing models is confirmed via three reliability and survival dataset applications.

Suggested Citation

  • Zafar Mahmood & Taghreed M Jawa & Neveen Sayed-Ahmed & E M Khalil & Abdisalam Hassan Muse & Ahlam H. Tolba & Dost Muhammad Khan, 2022. "An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-20, February.
    • Handle: RePEc:hin:jnlmpe:3634698
    DOI: 10.1155/2022/3634698
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    Cited by:

    1. Abdisalam Hassan Muse & Samuel Mwalili & Oscar Ngesa & Christophe Chesneau & Afrah Al-Bossly & Mahmoud El-Morshedy, 2022. "Bayesian and Frequentist Approaches for a Tractable Parametric General Class of Hazard-Based Regression Models: An Application to Oncology Data," Mathematics, MDPI, vol. 10(20), pages 1-41, October.
    2. Ahmed T. Ramadan & Osama Abdulaziz Alamri & Ahlam H. Tolba, 2024. "Reliability Assessment of Bridge Structure Using Bilal Distribution," Mathematics, MDPI, vol. 12(10), pages 1-18, May.

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