Thanks for the fast response. The fitdistr() function works well for the predefined density functions. However, what is the recommended approach to optimize/fit a density function described by two superimposed normal distributions? In my case it is N1(mean=0,sd1)*p+N2(mean=0,sd2)*(1-p). With fitdistr one can only choose among the 15 distributions. Probably this needs an approach using optim()? However I am so far unfamiliar with these packages. So any suggestion ist welcome. :)
/Johannes On Sat, Mar 21, 2015 at 2:16 PM, Prof Brian Ripley <rip...@stats.ox.ac.uk> wrote: > One way using the standard R distribution: > > library(MASS) > ?fitdistr > > No optimization is needed to fit a normal distribution, though. > > > On 21/03/2015 13:05, Johannes Radinger wrote: > >> Hi, >> >> I am looking for a way to fit data (vector of values) to a density >> function >> using an optimization (ordinary least squares or maximum likelihood fit). >> For example if I have a vector of 100 values generated with rnorm: >> >> rnorm(n=100,mean=500,sd=50) >> >> How can I fit these data to a Gaussian density function to extract the >> mean >> and sd value of the underlying normal distribution. So the result should >> roughly meet the parameters of the normal distribution used to generate >> the >> data. The results will ideally be closer the true parameters the more data >> (n) are used to optimize the density function. >> > > That's a concept called 'consistency' from the statistical theory of > estimation. If you skipped that course, time to read up (but it is > off-topic here). > > -- > Brian D. Ripley, rip...@stats.ox.ac.uk > Emeritus Professor of Applied Statistics, University of Oxford > 1 South Parks Road, Oxford OX1 3TG, UK > [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see 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.