# Simulating from a Weibull distribution

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## Simulating from a Weibull distribution

 Hi, I wish to simulate some data from a Weibull distribution. The rweibull function in R uses the parameterisation 'with shape parameter a and scale parameter b has density given by f(x) = (a/b) (x/b)^(a-1) exp(- (x/b)^a)'. However, it would be much more useful for me to simulate data using a different parameterisation of the Weibull, with shape a1 and scale b1,  namely f(x) = a1*b1*x^(a1-1)exp(-b1*x^a1). However I'm not sure how to do this, as I have only ever used the random generators that come pre-programmed in R. Is there a package or example someone can point me to that demonstrates how to simulate data from any given distribution? Cheers, Lucy         [[alternative HTML version deleted]] ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.
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## Re: Simulating from a Weibull distribution

 Hi Lucy, Try the gamlss.dist package, specifically the rWEI2() function. Cheers, Josh On Wed, Sep 3, 2014 at 11:52 AM, Lucy Leigh <[hidden email]> wrote: > Hi, > I wish to simulate some data from a Weibull distribution. The rweibull > function in R uses the parameterisation > > 'with shape parameter a and scale parameter b has density given by f(x) = > (a/b) (x/b)^(a-1) exp(- (x/b)^a)'. > > However, it would be much more useful for me to simulate data using a > different parameterisation of the > > Weibull, with shape a1 and scale b1,  namely f(x) = > a1*b1*x^(a1-1)exp(-b1*x^a1). > > However I'm not sure how to do this, as I have only ever used the random > generators that come pre-programmed in R. > > Is there a package or example someone can point me to that demonstrates > how to simulate data from any given distribution? > > Cheers, > > Lucy > > > > >         [[alternative HTML version deleted]] > > ______________________________________________ > [hidden email] mailing list > https://stat.ethz.ch/mailman/listinfo/r-help> PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html> and provide commented, minimal, self-contained, reproducible code. > -- Joshua F. Wiley Ph.D. Student, UCLA Department of Psychology http://joshuawiley.com/Senior Analyst, Elkhart Group Ltd. http://elkhartgroup.comOffice: 260.673.5518         [[alternative HTML version deleted]] ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.
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## Re: Simulating from a Weibull distribution

 In reply to this post by oxnard On 02/09/2014, 9:52 PM, Lucy Leigh wrote: > Hi, > I wish to simulate some data from a Weibull distribution. The rweibull function in R uses the parameterisation > > 'with shape parameter a and scale parameter b has density given by f(x) = (a/b) (x/b)^(a-1) exp(- (x/b)^a)'. > > However, it would be much more useful for me to simulate data using a different parameterisation of the > > Weibull, with shape a1 and scale b1,  namely f(x) = a1*b1*x^(a1-1)exp(-b1*x^a1). > > However I'm not sure how to do this, as I have only ever used the random generators that come pre-programmed in R. > > Is there a package or example someone can point me to that demonstrates how to simulate data from any given distribution? That's the same distribution, just with the parameters specified differently.  The correspondence is a1 = a b1 = b^(-a) or a = a1 b = b1^(-1/a1) Duncan Murdoch ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.