English

Observed Range Maximum Likelihood Estimation

Statistics Theory 2011-11-18 v1 Statistics Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1111.4196,
  title  = {Observed Range Maximum Likelihood Estimation},
  author = {Plamen Markov},
  journal= {arXiv preprint arXiv:1111.4196},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T19:37:45.720Z