A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples
نویسندگان
چکیده
منابع مشابه
A Data Driven Parameter Estimation for the Three- Parameter Weibull Population from Censored Samples
A method is described for the calculation of the three-parameter Weibull distribution function from censored samples. The method introduces a data driven technique based on an adapted Gaussian like kernel to match the censoring scheme. The method minimizes the Cramer von Mises distance from a non-parametric density estimate and the parametric estimate at the order statistics. The maximum likeli...
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In this article, we introduce a method for monitoring the Weibull shape parameter β with type II (failure) censored data. The control limits depend on the sample size, the number of censored observations, the target average run length, and the stable value of β. The method assumes that the scale parameter α is constant during each sampling period, which is true under rational subgrouping. The p...
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In this paper, based on the progressive type II right censored data, we consider estimates of MLE and AMLE of scale and shape parameters of weibull distribution. Also a new type of parameter estimation, named inverse estimation, is introdued for both shape and scale parameters of weibull distribution which is used from order statistics properties in it. We use simulations and study the biases a...
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Abstract. In this paper we develop Maximum Likelihood (ML) and Improved Analytical (IA) numerical algorithms to estimate parameters of the Weibull distribution, namely, location, scale and shape parameters, using order statistics of a noncensored sample. Since ML method leads to multiextremal numerical problem we establish conditions to localize extremes of the ML function, which enables us to ...
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ژورنال
عنوان ژورنال: Mathematical and Computational Applications
سال: 2008
ISSN: 2297-8747
DOI: 10.3390/mca13020129