International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 24 , Issue 2 , PP: 19-29, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data

Zainab A. Aldraji 1 * , Rehab Noori shalan 2

  • 1 Mathematics science College of science University of Baghdad Iraq - (Zainab.Adnan2203m@sc.uobaghdad.edu.iq)
  • 2 Mathematics science College of science University of Baghdad Iraq - (rehab.shallan@sc.uobaghdad.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.240202

    Received: December 30, 2023 Revised: February 07, 2024 Accepted: April 02, 2024
    Abstract

    In this paper, maximum likelihood estimation method (MLEM), one of the most well-liked and frequently applied classic methods, is used to estimate the two scale and one shape parameters of the Generalized Exponential-Rayleigh distribution for type-I censored data, which is one of the most Rights censored data. Based on an iterative process to get approximated values for these two scale parameters and one shape parameter using the Newton-Raphson method to locate estimate value for these parameters by using the simulation procedure utilizing monte-Carlo technique to find Reliability function underneath various sample sizes and the initial values are different for the parameters for all estimated parameters of Generalized Exponential-Rayleigh by implement the initial value in the MATLAP program, Subsequently, conducting a comparative analysis between the estimated reliability function and its non-estimated counterpart employing the mean squares error methodology. In the last finding the pdf function f (t), reliability function R (t) and hazard function h (t) for simulation data. Also, we provide some examples to clarify how can we apply our results on fuzzy data tables

    Keywords :

    Generalized Exponential Rayleigh distribution , censored sample , Reliability function , Simulation, fuzzy data.

    References

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    Cite This Article As :
    A., Zainab. , Noori, Rehab. Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 19-29. DOI: https://doi.org/10.54216/IJNS.240202
    A., Z. Noori, R. (2024). Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data. International Journal of Neutrosophic Science, (), 19-29. DOI: https://doi.org/10.54216/IJNS.240202
    A., Zainab. Noori, Rehab. Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data. International Journal of Neutrosophic Science , no. (2024): 19-29. DOI: https://doi.org/10.54216/IJNS.240202
    A., Z. , Noori, R. (2024) . Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data. International Journal of Neutrosophic Science , () , 19-29 . DOI: https://doi.org/10.54216/IJNS.240202
    A. Z. , Noori R. [2024]. Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data. International Journal of Neutrosophic Science. (): 19-29. DOI: https://doi.org/10.54216/IJNS.240202
    A., Z. Noori, R. "Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data," International Journal of Neutrosophic Science, vol. , no. , pp. 19-29, 2024. DOI: https://doi.org/10.54216/IJNS.240202