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Updated: Sep 15, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
On a von Mises-type circular distribution
Fredy Castellares1, Artur J Lemonte2
1Universidade Federal de São Paulo, Departamento de Ciências Atuariais, Rua Oleska Winogradow, 100, Campus Osasco, 06120-042 Osasco, SP, Brazil.
Abstract:
We introduce a two-parameter circular family of distributions based on the traditional von Mises distribution. A comprehensive account of the general properties of the new circular distribution is provided. Maximum likelihood estimation of the model parameters is discussed, and we provide a simple method to find the maximum likelihood estimates numerically. We also derive the expected Fisher information matrix for the model parameters. An empirical application to a real data set is considered to illustrate the new circular distribution in practice.
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