Möbius transformation and Cauchy parameter estimation
type: Item
instance of: scholarly article
title: Möbius transformation and Cauchy parameter estimation
zbMATH Open document ID: 0859.62007
author: P. McCullagh
published in: The Annals of Statistics
publication date: 1997-04-09T00:00:00Z
Mathematics Subject Classification ID: 62A01
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 30E99
Mathematics Subject Classification ID: 62E15
zbMATH DE Number: 950552
zbMATH Keywords: Bartlett adjustment
zbMATH Keywords: Brownian motion in complex plane
zbMATH Keywords: circular Cauchy distribution
zbMATH Keywords: fractional linear transformation
zbMATH Keywords: harmonic measure
zbMATH Keywords: invariant measure
zbMATH Keywords: invariant statistic
zbMATH Keywords: likelihood ratio statistic
zbMATH Keywords: Möbius group
zbMATH Keywords: robustness
zbMATH Keywords: harmonic functions
zbMATH Keywords: unbiasedness
zbMATH Keywords: two-parameter Cauchy family
zbMATH Keywords: wrapped Cauchy family
zbMATH Keywords: Möbius transformation
zbMATH Keywords: equivariant estimator
zbMATH Keywords: maximum likelihood estimator
zbMATH Keywords: analytic function
zbMATH Keywords: marginal distributions
zbMATH Keywords: Student's pivotal ratio
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1032894465
OpenAlex ID: W2013594372
cites work: On the unimodality of the likelihood for the Cauchy distribution
cites work: Q4001812
cites work: A Characterization of the Cauchy Type
cites work: Une caract�risation de la loi de Cauchy
cites work: Edgeworth series for lattice distributions
cites work: Q5656211
cites work: Conditional inference and Cauchy models
cites work: Q4758531
DOI: 10.1214/AOS/1032894465
description: scientific article; zbMATH DE number 950552