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NONPARAMETRIC ESTIMATION OF ANGULAR DISTRIBUTIONS FROM CARTESIAN OBSERVATIONS WITH ERROR
Author(s) -
Horgan G.W.,
Haslett J.
Publication year - 1993
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1993.tb01336.x
Subject(s) - cartesian coordinate system , nonparametric statistics , parametric statistics , estimation , series (stratigraphy) , mathematics , observational error , statistics , geometry , geology , engineering , paleontology , systems engineering
Summary If angular data are obtained from Cartesian observations, then any measurement error in these observations will produce a particular error structure in the angular data. The paper shows how non‐parametric density estimation by orthogonal series may be performed in this case.