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Title: On the uniqueness of the M. L. estimates in curved exponential families (English)
Author: Pázman, Andrej
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 22
Issue: 2
Year: 1986
Pages: 124-132
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Category: math
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MSC: 62F10
MSC: 62F11
MSC: 62J02
idZBL: Zbl 0657.62031
idMR: MR849685
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Date available: 2009-09-24T17:52:10Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125024
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Reference: [1] S. Amari: Differential geometry of curved exponential families - curvatures and information loss.Ann. Statist. 10 (1982), 357-387. Zbl 0507.62026, MR 0653513
Reference: [2] O. Barndorff-Nielsen: Information and Exponential Families in Statistical Theory.Wiley, Chichester 1979. MR 0489333
Reference: [3] B. Efron: The geometry of exponential families.Ann. Statist. 6 (1978), 362-376. Zbl 0436.62027, MR 0471152
Reference: [4] V. Jarník: Diferenciální počet II.(Differential Calculus). NČSAV, Praha 1956.
Reference: [5] A. Pázman: Nonlinear least squares - uniqueness versus ambiguity.Math. Operationsforsch. Statist. Ser. Statist. 15 (1984), 323-336. MR 0756337
Reference: [6] A. Pázman: Probability distribution of the multivariate nonlinear least squares estimates.Kybernetika 20 (1984), 209-230. MR 0763647
Reference: [7] S. Sternberg: Lectures on Differential Geometry.Second printing. Prentice-Hall, Englewood Cliffs 1965. MR 0193578
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