multivariate goodness of fit test

Hi everyone,

I need help on multivariate goodness-of-fit. I have a data set
consisting of 143 observations from 48 dimensional vectors. and i want
to test whether the data gives me enough information to assess that the
underlying population is the one i estimated. I want to add that my
observations are discrete, so the distributions to be tested are
discrete. I should estimate the parameters from the data, but besides,
i don't want to specify the parameters in the null hypothesis. Is the
usual chi-square test suitable for multivariate data?

Thanks in advance,

deep_sea

.

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