Yokes and symplectic structures

OE Barndorff-Nielsen; Peter Edmund Jupp

Yokes and symplectic structures

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A relationship between yokes and symplectic forms is established and explored. It is shown that normalised yokes correspond to certain symplectic forms. A method of obtaining new yokes from old is given, motivated partly by the duality between the Hamiltonian and Lagrangian formulations of conservative mechanics. Some variants of this construction are suggested. (C) 1997 Elsevier Science B.V.

Original language	English
Pages (from-to)	133-146
Number of pages	14
Journal	Journal of Statistical Planning and Inference
Volume	63
Publication status	Published - 15 Oct 1997

Keywords

expected likelihood yoke
Hamiltonian
Lagrangian
Lagrangian submanifold
observed likelihood yoke
tensors
MINIMUM CONTRAST ESTIMATORS

Cite this

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title = "Yokes and symplectic structures",

abstract = "A relationship between yokes and symplectic forms is established and explored. It is shown that normalised yokes correspond to certain symplectic forms. A method of obtaining new yokes from old is given, motivated partly by the duality between the Hamiltonian and Lagrangian formulations of conservative mechanics. Some variants of this construction are suggested. (C) 1997 Elsevier Science B.V.",

keywords = "expected likelihood yoke, Hamiltonian, Lagrangian, Lagrangian submanifold, observed likelihood yoke, tensors, MINIMUM CONTRAST ESTIMATORS",

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year = "1997",

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T1 - Yokes and symplectic structures

AU - Barndorff-Nielsen, OE

AU - Jupp, Peter Edmund

PY - 1997/10/15

Y1 - 1997/10/15

N2 - A relationship between yokes and symplectic forms is established and explored. It is shown that normalised yokes correspond to certain symplectic forms. A method of obtaining new yokes from old is given, motivated partly by the duality between the Hamiltonian and Lagrangian formulations of conservative mechanics. Some variants of this construction are suggested. (C) 1997 Elsevier Science B.V.

AB - A relationship between yokes and symplectic forms is established and explored. It is shown that normalised yokes correspond to certain symplectic forms. A method of obtaining new yokes from old is given, motivated partly by the duality between the Hamiltonian and Lagrangian formulations of conservative mechanics. Some variants of this construction are suggested. (C) 1997 Elsevier Science B.V.

KW - expected likelihood yoke

KW - Hamiltonian

KW - Lagrangian

KW - Lagrangian submanifold

KW - observed likelihood yoke

KW - tensors

KW - MINIMUM CONTRAST ESTIMATORS

M3 - Article

SN - 0378-3758

VL - 63

SP - 133

EP - 146

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

ER -

Yokes and symplectic structures

Abstract

Keywords

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