Dear list members,
I am looking for references on the likelihood function of data with
distribution which is a mixture of a continuous and a discrete
distributions.
My particular example is a mixture of lognormal distribution and an atom at
zero (P(X=0)=1) :
p logN(\mu, \sigma) + (1-p) \delta_0
It seems that the likelihood function can be calculated as a product of the
likelihoods of each type of distributions but I have not seen this case
considered in the books on the likelihood I looked up.
I would appreciate to receive any references on the subject or any other
ideas how to calculate the likelihood in this case.
Best regards
Natalia Botchkina
--------------------------
Dr. Natalia Botchkina
Statistician
Oxford GlycoSciences
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