<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Palindromic Bernoulli distributions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2016Embargo end date: 01 Jan 2015 Italy Publisher:Institute of Mathematical StatisticsJournal:Electronic Journal of Statistics, volume 10 (issn: 1935-7524,

Authors: MARCHETTI, GIOVANNI MARIA; Wermuth, Nanny;

doi: 10.1214/16-ejs1175 , 10.48550/arxiv.1510.09072

arXiv: http://arxiv.org/abs/1510.09072

handle: 2158/1075470

Palindromic Bernoulli distributions

- Summary
- Subjects
- Metrics

Abstract

We introduce and study a subclass of joint Bernoulli distributions which has the palindromic property. For such distributions the vector of joint probabilities is unchanged when the order of the elements is reversed. We prove for binary variables that the palindromic property is equivalent to zero constraints on all odd-order interaction parameters, be it in parameterizations which are log-linear, linear or multivariate logistic. In particular, we derive the one-to-one parametric transformations for these three types of model specifications and give simple closed forms of maximum likelihood estimates. Some special cases and a case study are described.

17 pages, 1 figure, 5 tables

Country

Italy

Related Organizations

University of Florence
Italy
Università degli studi di Salerno
Italy
Chalmers University of Technology
Sweden

Keywords

FOS: Computer and information sciences, 62E10, Central symmetry, orthant probabilities, multivariate logistic models, Mathematics - Statistics Theory, Central symmetry; Linear in probability models; Log-linear models; Median-dichotomization; Multivariate logistic models; Odd-order interactions; Orthant probabilities; Statistics and Probability, Statistics Theory (math.ST), Methodology (stat.ME), median-dichotomization, log-linear models, 62H17, FOS: Mathematics, linear in probability models, odd-order interactions, Statistics - Methodology, 62H20

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average