MAXIMUM LIKELIHOOD ESTIMATION OF THE CELL PROBABILITIES UNDER LINEAR CONSTRAINTS
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This paper is concerned with the derivation and the application of the maximization of the likelihood which is the product of binomial or multinomial densities under the linear constraints among the cell probabilities. This type of problems arises when we wish to smooth the histogram, to test the linear trend of proportions, or to compare the means/variances of number-right test scores across several groups without normality assumption. In the applications to the latent variable models, it is shown that the same method can be used to estimate the distribution of the latent variables.
Behaviormetrika 23(1), 111-128, 1996
The Behaviormetric Society