Hello,

My question is probably going to seems evident for statisticians but
not for me. If this newsgroup is not the right place to make this
post, thanks to tell me.

I fabricate some systems that involve several parts assembled between
each other. I want to determine the impact of the uncertainties on the
parts (dimensions, positions ...) on the overall system response
(through for example, the use of Monte-Carlo analysis)


Here are the questions :

#1 I measure some data (like thickness) of several parts. I would like
to determine the best probability distribution function that fit my
measurements. How to determine the needed number of samples ? How to
choose the PDF's to be tested ? How to evaluate the accuracy of the
result ?

#2 I saw some software like Bestfit that seems to do this job. Is
there any other one (free one would be prefered but commercial could
be interesting as well).

#3 Let's say that I have determined all the PDF of my parts. One of
the characteritic C of my system is a function of several other
variables X1, X2...XN, each having is own PDF. How to deduce the PDF
of C ?

Thanks a lot,
Franck
.
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