objectives: this study sought to assess the relation of mandibular cortical index (mci) with age, gender and gonial angle size in an iranian adult population using digital panoramic radiography. methods: we evaluated 370 digital panoramic radiographs of patients and divided them into five 10-year age groups. each radiograph was assigned to low (≤120°) or high (≥125°) angle groups in terms of th...

The pool adjacent violator algorithm Ayer et al. (1955, The Annals of Mathematical Statistics, 26, 641-647) has long been known to give the maximum likelihood estimator of a series of ordered binomial parameters, based on an independent observation from each distribution (see Barlow et al., 1972, Statistical Inference under Order Restrictions, Wiley, New York). This result has immediate applica...

Dysbiosis of microbial communities is associated with various human diseases, raising the possibility of using microbial compositions as biomarkers for disease diagnosis. We have developed a Bayes classifier by modeling microbial compositions with Dirichlet-multinomial distributions, which are widely used to model multicategorical count data with extra variation. The parameters of the Dirichlet...

Several classiiiCation and routing methods were implemented and compared. The experiments used FBIS documents from four categories, and the measures used were the tf.idf and Cosine similarity measures, and a maximum likelihood estimate based on assuming a Multinomial Distribution for the various topics (populations). In addition, the SMART program was run with 'lnc.ltc' weighting and compared t...

This note further explores the Dirichlet-tree distribution developed by Dennis (1991). An inclusion relationship is given for different tree structures and an independence relationship is given for probabilities in the tree. The posterior, evidence, and predictive density are derived for multinomial observations.

Generalized Linear Models (GLZ) are an extension of the linear modeling process that allows models to be fit to data that follow probability distributions other than the Normal distribution, such as the Poisson, Binomial, Multinomial, and etc. Generalized Linear Models also relax the requirement of equality or constancy of variances that is required for hypothesis tests in traditional linear mo...