On the existence and uniqueness of maximum likelihood estimates in polytomous response models

DOI10.1016/0378-3758(86)90165-5zbMath0593.62020OpenAlexW2042500088MaRDI QIDQ1076444

Siu-Keung Tse

Publication date: 1986

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90165-5

zbMATH Keywords

uniquenessgeometric approachnecessary and sufficient conditionsconvex hullsseparating hyperplaneslog-likelihood functionexistence of maximum likelihood estimatesordered polytomous response model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Point estimation (62F10)

Cites Work

• On the existence of maximum likelihood estimates in logistic regression models
• Efficient Sequential Designs With Binary Data
• Regression, Discrimination and Measurement Models for Ordered Categorical Variables
• Concavity of the Log Likelihood
• State Constraints in Convex Control Problems of Bolza
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