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Activity Number: 412 - Data Science and Machine Learning Topics
Type: Contributed
Date/Time: Tuesday, July 30, 2019 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract #307082 Presentation
Title: Positive Orthant Dirichlet Hyperspheric Distribution
Author(s): Jose Guardiola* and Eduardo Garcia Portugues
Companies: Texas A&M University Corpus Christi and Universidad Carlos III de Madrid
Keywords: hypersphere; postive orthant; Dirichlet; data mining

Today, data mining and gene expressions are at the forefront of modern research in science and technology. In this paper we develop a new probability distribution applicable in these fields. This paper focuses on developing a probability distribution in the positive orthant of the hypersphere, avoiding unnecessary probability mass. The distribution properties, including normalizing constants and basics properties are developed. Connections with other distributions are also explored. Efficient estimators based on classical inferential statistics, such as method of moments and maximum likelihood estimators, are obtained. Some applications for this distribution are also developed and the results are discussed.

Authors who are presenting talks have a * after their name.

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