مقارنة ثلاثة مقدرات مختلفة لمعلمة القياس لتوزيع ويبل ذي المعلمتين و قياس كفاءة المقدرات باستخدام المحاكاة

Abstract EN

When the failure rate appears in life testing experiment, the choice of Exponential distribution will be sufficient and suitable, but there are some situations when the failure rate may increase or decrease then Weibull, Gamma or Lognormal distribution may be the most reliable choice for such situations, and Weibull failure model is considered to be one of the well-known failure models because of its different applications in addition to its importance in the Reliability field and life tests, so this research focuse on comparison between some of the well- known Bayesian estimation methods to estimate the scale parameter and the reliability function for Weibull distribution where the shape parameter is known.

The methodology of research depended on theoretical study, which included finding the estimators using Bayesian method, and Proposed Loss function.

An experimental study by designing number of simulation experiments using various values ofλ , and of sample sizes, and with repetition of (1000 times) for comparison is used.