Unbiased statistical estimation functions for parameters in presence of nuisance parameters

DOI10.1016/0378-3758(84)90043-0zbMath0535.62030OpenAlexW2051956768MaRDI QIDQ791251

B. Chandrasekar, B. K. Kale

Publication date: 1984

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(84)90043-0

zbMATH Keywords

equivalenceuniquenessnuisance parametersstandardizationCramér-Rao type inequalityoptimality criteria based on the dispersion matrixunbiased statistical estimation function

Mathematics Subject Classification ID

Point estimation (62F10) Foundations and philosophical topics in statistics (62A01)

Related Items (12)

A geometric optimally of Cox's partial likelihood ⋮ Essential uniqueness of optimal estimating functions ⋮ An optimality criterion for vector unbiased statistical estimation functions ⋮ Characterization and uniqueness of optimal estimating function ⋮ Completeness and optimality of marginal likelihood estimating equations ⋮ Joint estimation of offspring mean and offspring variance of controlled branching process ⋮ On Optimal Estimating Functions in the Presence of Nuisance Parameters ⋮ Optimal unbiased statistical estimating functions for Hilbert space valued parameters ⋮ Equivalence of various optimality criteria for estimating functions ⋮ Conditioning on ancillary statistics and loss of information in the presence of nuisance parameters ⋮ Orthogonal projections and the geometry of estimating functions. ⋮ Unbiased statistical estimation functions for parameters in presence of nuisance parameters

Cites Work

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• Unbiased statistical estimation functions for parameters in presence of nuisance parameters
• Some aspects of the theory of estimating equations
• Multiparametric estimating equations
• Estimating equations in the presence of a nuisance parameter
• Conditional likelihood and unconditional optimum estimating equations
• Quadratic Forms and Idempotent Matrices with Random Elements
• An Optimum Property of Regular Maximum Likelihood Estimation

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