Observed Range Maximum Likelihood Estimation

Details Observed Range Maximum Likelihood Estimation Observed Range Maximum Likelihood Estimation

2011-11-17

arxiv.org/abs/1111.4196v1

Mathematics

Statistics Theory

censored multivariate data, contingency tables with incomplete counts, nonparametric density estimation, nonparametric regress

Scientific paper

The idea of maximizing the likelihood of the observed range for a set of jointly realized counts has been employed in a variety of contexts. The applicability of the MLE introduced in [1] has been extended to the general case of a multivariate sample containing interval censored outcomes. In addition, a kernel density estimator and a related score function have been proposed leading to the construction of a modified Nadaraya-Watson regression estimator. Finally, the author has treated the problems of estimating the parameters of a mutinomial distribution and the analysis of contingency tables in the presence of censoring.

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