Analytical bounds for the MLE of the Weibull shape parameter
نویسنده
چکیده
منابع مشابه
Comparison of three Estimation Procedures for Weibull Distribution based on Progressive Type II Right Censored Data
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...
متن کاملUsing neural network to estimate weibull parameters
As is well known, estimating parameters of the tree-parameter weibull distribution is a complicated task and sometimes contentious area with several methods vying for recognition. Weibull distribution involves in reliability studies frequently and has many applications in engineering. However estimating the parameters of Weibull distribution is crucial in classical ways. This distribution has t...
متن کاملEfficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood
The maximum likelihood estimator of the Weibull shape parameter can be very biased. An estimator based on the modified profile likelihood is proposed and its properties are studied. It is shown that the new estimator is almost unbiased with relative bias being less than 1% in most of situations, and it is much more efficient than the regular MLE. The smaller the sample or the heavier of the cen...
متن کاملFitting the Three-parameter Weibull Distribution by using Greedy Randomized Adaptive Search Procedure
The Weibull distribution is widely employed in several areas of engineering because it is an extremely flexible distribution with different shapes. Moreover, it can include characteristics of several other distributions. However, successful usage of Weibull distribution depends on estimation accuracy for three parameters of scale, shape and location. This issue shifts the attentions to the requ...
متن کاملA Comparison of Shape and Scale Estimators of the Two-Parameter Weibull Distribution
Weibull distributions are widely used in reliability and survival analysis. In this paper, different methods to estimate the shape and scale parameters of the two-parameter Weibull distribution have been reviewed and compared, based on the bias, mean square error and variance. Because a theoretical comparison is not possible, an extensive simulation study has been conducted to compare the perfo...
متن کامل