Employing Type one Censored Sample with Simulation
DOI:
https://doi.org/10.31185/bsj.Vol21.Iss38.1293Keywords:
GERD, Censored sample, Reliability function, Simulation, type three censored (Progressively).Abstract
In this article, the generalized exponential Rayleigh distribution and reliability function are defined by using a censored sample. Censored data plays an important role in life over time and is divided into three branches: left-censored data, interval, and right-censored data. In this paper, we study the part of right censoring called (type one) by explaining the maximum likelihood method under type one. We are estimating and deriving the three parameters of the Generalized Exponential Rayleigh distribution under the formula of type one; this method depends on the Newton-Raphson method. to find the estimate of the reliability function using the simulation procedure by the Monte Carlo technique under different sample sizes and various initial values for the parameters for all estimated parameters of the generalized exponential Rayleigh distribution by applying the initial values in the MATLAB program, then comparing the estimated reliability function with the empirical reliability function by utilizing the mean squares error procedure. Finally, finding the probability density function f(t), the reliability function.
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Copyright (c) 2026 م.م زينب عدنان محمد وزارة التربية، ا.م.د رحاب نوري شعلان جامعة بغداد/كلية العلوم، ا.م.د سندس بدر حبيب جامعة بغداد/كلية العلوم، ا.د ايدن حسن الكناني جامعة بغداد/كلية العلوم للبنات
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