Confidence disc and square for the Cauchy distributions

DOI10.1007/s11253-023-02203-9arXiv2104.06124MaRDI QIDQ6078108

Yuichi Akaoka, Yoshiki Otobe, Kazuki Okamura

Publication date: 27 September 2023

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06124

Mathematics Subject Classification ID

Statistics (62-XX) Parametric inference (62Fxx) Statistical distribution theory (62Exx)

Cites Work

• Möbius transformation and Cauchy parameter estimation
• Bahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution
• The Pitman estimator of the Cauchy location parameter
• Limit theorems for quasi-arithmetic means of random variables with applications to point estimations for the Cauchy distribution
• Characterizations of the maximum likelihood estimator of the Cauchy distribution
• Likelihood inference about location and scale parameters
• Asymptotic Statistics
• On the distribution of the Cauchy maximum-likelihood estimator
• Mathematical Statistics
• Hodges-Lehmann Scale Estimator for Cauchy Distribution
• Conditional confidence interval procedures for the location and scale parameters of the Cauchy and logistic distributions
• A Note on Estimation from a Cauchy Sample
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