Inger Fabris-Rotelli and Najmeh Nakhaeirad (University of Pretoria, South Africa) – Density estimation from biased circular data & Spatial linear networks with applications 

Speaker: Najmeh Nakhaeirad, University of Pretoria

Title: Density estimation from biased circular data

Abstract: Sampling with errors provides observations that, instead of being drawn from the distribution of interest, are rather drawn from a biased version of it. New estimation approaches are developed to retrieve the true density in the presence of such data contaminated by measurement errors from the circular manifold. Since weighted distribution theory provides a unifying approach for the correction of biases that exist in data, we assume a class of weighted distributions on the circle as the distribution of the biased observations. Then, both frequentist and Bayesian methods are applied to capture the true density of the data from the data contaminated with errors. Numerical assessments support the findings via simulation and real data analysis.