Comparison of Probability Distribution Functions for Fitting Distillation Curves of Petroleum
By S. Sánchez, †‡ and Jorge Ancheyta, W. McCaffrey. 2007
72 citations recorded by the source corpus.
The fitting capability of 25 probability distribution functions for distillation data of petroleum fractions was analyzed in this work. Rankings of all the functions based on two different approaches were established after a statistical analysis of the fit of the functions with a data set of 137 distillation curves. In general, distribution functions with four parameters showed better fitting capability than those with three parameters. Two-parameter functions were not effective in fitting distillation data. The Weibull extreme, Kumaraswamy, and Weibull functions were found to be the best distribution functions for fitting distillation data considering their ranking and the required CPU time. These distribution functions exhibited the lowest Akaike information criterion and Bayesian information criterion average values, standard deviations lower than 1%, correlation coefficients higher than 0.999, and residuals randomly distributed without any tendency. The fitting capability of the best functions was val...
Subfields: Analytical Chemistry, Control and Systems Engineering, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/98263821156a6548233c05cd8fb81a4ba22238fd
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In Control and Systems Engineering
Citations in the corpus
- New Properties of the Kumaraswamy Distribution (2013, unknown): “The Kumaraswamy distribution was originally conceived to model hydrological phenomena (Kumaraswamy, 1980), and has been used for this but also for other purposes (for examples see Courard-Hauri, 2007; Fletcher and Ponnambalam, 1996; Ganji et al., 2006; Sanchez et al., 2007; Seifi et al., 2000; Sunda”
- Estimation of reliability of multicomponent stress–strength for a Kumaraswamy distribution (2017, background): “See, for example, Sundar and Subbiah (1989), Fletcher and Ponnambalam (1996), Seifi et al. (2000), Ganji et al. (2006), Sánchez et al. (2007), andCourard-Hauri (2007).”