Geometrical expansions for the distributions of the score vector and the maximum likelihood estimator

DOI10.1007/BF00048670zbMath0760.62020MaRDI QIDQ1206631

Marianne Mora

Publication date: 1 April 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximum likelihood estimatorconditional distributionsscore vectorobserved geometriesderivative stringsexpected geometriesgeometrical expansionsunconditional distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Local differential geometry (53B99)

Related Items (1)

Stochastic calculus, statistical asymptotics, Taylor strings and phyla

Cites Work

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• Differential geometry of Edgeworth expansions in curved exponential family
• Fundamental equations for statistical submanifolds with applications to the Bartlett correction
• Likelihood and observed geometries
• Coordinate-free definition of structurally symmetric derivative strings
• Yokes and tensors derived from yokes
• Parametric statistical models and likelihood
• Invariants and likelihood ratio statistics
• Differential-geometrical methods in statistics
• Strings: mathematical theory and statistical examples
• On a formula for the distribution of the maximum likelihood estimator
• Strings, tensorial combinants, and Bartlett adjustments
• Conditionality resolutions
• On Multivariate Edgeworth Expansions
• Derivative strings: contravariant aspect

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