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 |
. |
Category:
|
math |
. |
MSC:
|
62F10 |
MSC:
|
62F11 |
MSC:
|
62J02 |
idZBL:
|
Zbl 0657.62031 |
idMR:
|
MR849685 |
. |
Date available:
|
2009-09-24T17:52:10Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125024 |
. |
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 |
. |