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Activity Number: 667
Type: Contributed
Date/Time: Thursday, August 4, 2016 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract #321342 View Presentation
Title: Density Estimation on the Sphere as a Solution of the Heat Equation
Author(s): Jonathan Odumegwu* and Mohamed Amezziane
Companies: Central Michigan University and Central Michigan University

Scientists in many disciplines ranging from biology (animal migration) and epidemiology (disease outbreak) to geology (joint system) and meteorology (precipitation) are interested in data analysis on the sphere. These data can be modeled using parametric families of distributions but nonparametric density estimators on the sphere are few. In this work, nonparametric and semiparametric density estimators on the sphere are easily obtained via solving the heat equation with Neumann boundary conditions and stochastic initial conditions. Asymptotic properties of the suggested estimators are derived and their performances are compared to those of common nonparametric estimators. Real world examples are given and a Monte-Carlo study of the small sample behavior of the estimator

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

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