It has been shown previously that the Histogram Probabilistic Multi-Hypothesis Tracking (HPMHT) algorithm enables tracking of targets distributed across several sensor cells. Two related aspects of the H-PMHT algorithm are discussed in this paper, namely the estimation of target spread, and the use of the negative multinomial distribution to compensate for unobserved sensor cells. The examples ...

Estimating the parameters of sparse multinomial distributions is an important component of many statistical learning tasks. Recent approaches have used uncertainty over the vocabulary of symbols in a multinomial distribution as a means of accounting for sparsity. We present a Bayesian approach that allows weak prior knowledge, in the form of a small set of approximate candidate vocabularies, to...

The process of monoisotopic mass determination, i.e., nomination of the correct peak of an isotopically resolved group of peptide peaks as a monoisotopic peak, requires prior information about the isotopic distribution of the peptide. This points immediately to the difficulty of monoisotopic mass determination, whereas a single mass spectrum does not contain information about the atomic composi...

difference aspects of multinomial statistical modelings and its classifications has been studied so far. in these type of problems y is the qualitative random variable with t possible states which are considered as classifications. the goal is prediction of y based on a random vector x ? ir^m. many methods for analyzing these problems were considered. one of the modern and general method of cla...

In this paper,we introduce a new topic model named Gaussian-LDA, which is more suitable to model continuous data. Topic Model based on latent Dirichlet allocation (LDA) is widely used for the statistical analysis of document collections and other discrete data. The LDA model assumes that the words of each document arise from a mixture of topics, each of which is a multinomial distribution over ...

* We are grateful to Sophie Hesling for her assistance with data collection. Abstract We show that the full asymptotic distribution for Watson's 2 N U statistic, modified for discrete data, can be computed by standard methods. Previous approximate percentiles for the uniform multinomial case are found to be accurate. More extensive percentiles are presented for this distribution, and for the di...

An analytical approximation is derived for the Zero Sum Multinomial distribution which gives the Species Abundance Distribution in Neutral Community Models. The obtained distribution function describes well computer simulation results on the model, and leads to an interesting relation between the total number of individuals, total number of species and the size of the most abundant species of t...

In Bayesian analysis of multinomial models, an important assessment task is to elicit an informative joint prior distribution for multinomial probabilities. We start by introducing a method to elicit a univariate beta distribution for the probability of each category using probability quartiles. Three different multivariate priors are introduced using the elicited betas. As a tractable conjugat...