A note on a multivariate version of rolle's theorem and uniqueness of maximum likelihood roots

DOI10.1080/03610928208828325zbMath0502.62051OpenAlexW2084046812WikidataQ64648585 ScholiaQ64648585MaRDI QIDQ3968315

John van Ryzin, Kamta Rai

Publication date: 1982

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928208828325

zbMATH Keywords

strong consistencymaximum likelihood equations estimatemultivariate version of Rolle theoremuniqueness of roots of maximum likelihood equations

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Nonparametric estimation (62G05) Point estimation (62F10) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Cites Work

• A Generalized Multihit Dose-Response Model for Low-Dose Extrapolation
• Linear Statistical Inference and its Applications
• A NOTE ON THE CONSISTENCY AND MAXIMA OF THE ROOTS OF LIKELIHOOD EQUATIONS

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