Research on Log-Weibull Distribution and its Application in Statistical Distribution of Coal Cuttings Particle Size

Abstract:

In this work, we reveals the statistical distribution law of 1-3mm coal particle size by MATLAB and the definition and probability distribution function of log-Weibull distribution. In order to get the theoretical probability model of the particle size distribution, we studied the parameter estimation of Weibull, lognormal and log-Weibull distribution though using the maximum likelihood estimation method. The comparison criterion Cc was introduced to evaluate the difference between the theoretical probability density model and the actual experimental data distribution. The results of comparison criterion shows when the particle size has a smaller intervals, log-Weibull distribution is better to predict the experimental data than Weibull distribution and has a smaller change with the different intervals of particle size than others.

• Periodical: Advanced Materials Research (Volumes 634-638)
• Pages: 3472-3477
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.634-638.3472
• Online since: January 2013
• Authors: Xian Shang Zhang, Guang Cai Wen, Qing Ming Long, Hui Ming Yang
• Keywords: Coal Cuttings, Log-Weibull Distribution, Maximum Likelihood-Estimation (MLE), Particle Size Distribution

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