Strings: mathematical theory and statistical examples

DOI10.1098/rspa.1987.0059zbMath0624.53008OpenAlexW2092667788MaRDI QIDQ3025797

Ole Eiler Barndorff-Nielsen, Preben Blæsild

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0059

zbMATH Keywords

statistical inferencecovariant differentiationgeometric objectintertwinningextensorsconvolutive multiplication

Mathematics Subject Classification ID

Parametric inference (62F99) Differential geometric aspects in vector and tensor analysis (53A45) Differential invariants (local theory), geometric objects (53A55)

Related Items (10)

Stochastic calculus, statistical asymptotics, Taylor strings and phyla ⋮ The geometric structure of the expected/observed likelihood expansions ⋮ Coordinate-free definition of structurally symmetric derivative strings ⋮ A parameterisation-invariant modification of the score test ⋮ Finite-dimensional algebraic representations of the infinite phylon group ⋮ Geometrical expansions for the distributions of the score vector and the maximum likelihood estimator ⋮ Yokes and tensors derived from yokes ⋮ Tensors and likelihood expansions in the presence of nuisance parameters ⋮ Generalized higher-order differentiation ⋮ On preferred point geometry in statistics

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