1989
DOI: 10.1061/(asce)0887-3801(1989)3:2(183)
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Numerical Approach for Generating Beta Random Variates

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Cited by 7 publications
(4 citation statements)
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“…This spatial variability is calculated based on the CF value of each native region weighted by the probability of the environmental intervention to occur in each native region as described in Bulle et al (2019). It is represented with a four-parameter beta distribution using the moment method (Riggs 1989) to preserve at least the 4 parameters we knew for each CF: minimum and maximum values, variance and mean values. Four-parameter beta distribution is an alternative parametrization of the standard beta distribution (with 2 parameters) with a support of [min;max] instead of [0;1] and was the best fit we found compared to more classical distributions (normal, triangle, log-normal).…”
Section: Relative Spatial Variation Of Pricesmentioning
confidence: 99%
“…This spatial variability is calculated based on the CF value of each native region weighted by the probability of the environmental intervention to occur in each native region as described in Bulle et al (2019). It is represented with a four-parameter beta distribution using the moment method (Riggs 1989) to preserve at least the 4 parameters we knew for each CF: minimum and maximum values, variance and mean values. Four-parameter beta distribution is an alternative parametrization of the standard beta distribution (with 2 parameters) with a support of [min;max] instead of [0;1] and was the best fit we found compared to more classical distributions (normal, triangle, log-normal).…”
Section: Relative Spatial Variation Of Pricesmentioning
confidence: 99%
“…The spatial variability of global CFs is represented with a fourparameter beta distribution, which has definite lower and upper bounds and fits a variety of shapes. We used the moment method described in Riggs (1989) to estimate the four parameters of each CF distribution. During the Monte Carlo sampling, we also accounted for the LCIA spatial correlation in a unit process for land transformation IC only and only for some EFs, i.e., sampled value for CF from one type of land use is consistent with the sampled value for CF to one type of land use.…”
Section: Data and Settings Used For The Case Studiesmentioning
confidence: 99%
“…Previous research has shown that beta distribution is suitable for modelling cost uncertainty in construction projects (e.g., Riggs, 1989;Abou-Rikz et al,1993). It can be used to model events that are constrained to take place within an interval defined by a minimum and maximum value and therefore is often used in scheduling to describe the time of completion and the cost of a task.…”
Section: Distribution Fittingmentioning
confidence: 99%