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The asymptotic normality of the Koenker-Bassett estimators in nonlinear regression models
Author(s):
O.
V.
Ivanov;
I.
V.
Orlovskii
Translated by:
Oleg Klesov
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 72
(2005).
Journal:
Theor. Probability and Math. Statist.
No. 72
(2006),
33-45.
MSC (2000):
Primary 62J02;
Secondary 62J99
Posted:
August 10, 2006
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Additional information
Abstract:
The asymptotic normality of the Koenker-Bassett estimators of parameters of a nonlinear regression model with discrete time and independent errors of observations is studied in the paper.
References:
-
- 1.
- R. Koenker and G. Bassett, Regression quantile, Econometrica 46 (1978), 33-50. MR 0474644 (57:14279)
- 2.
- P. J. Huber, Robust Statistics, Wiley, New York, 1981. MR 0606374 (82i:62057)
- 3.
- A. V. Ivanov, Asymptotic Theory of Nonlinear Regression, Kluwer Academic Publishers, Dordrecht, 1997. MR 1472234 (99h:62086)
- 4.
- I. V. Orlovski
, Consistency of Koenker-Bassett estimators in nonlinear regression models, Naukovi Visti NTUU ``KPI'' 3 (2004), 144-152. (Ukrainian) - 5.
- Tae Soo Kim and Hae Kyung Kim, Consistency of regression quantile estimators for the nonlinear time series regression model, Far East J. Theor. Stat. 5(1) (2001), 181-191. MR 1848451 (2002g:62101)
- 6.
- P. J. Huber, The behavior of maximum likelihood estimates under nonstandard conditions, Proc. Fifth Berkeley Sympos. Math. Statist. Probability. I, Univ. California Press, Berkeley, 1967, 221-234. MR 0216620 (35:7449)
- 7.
- R. N. Bhattacharya and R. Ranga Rao, Normal Approximation and Asymptotic Expansions, Wiley, New York, 1976. MR 0436272 (55:9219)
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Additional Information:
O.
V.
Ivanov
Affiliation:
National Technical University of Ukraine (KPI), Peremogy Avenue 37, Kyiv, Ukraine
Email:
ivanov@paligora.kiev.ua
I.
V.
Orlovskii
Affiliation:
National Technical University of Ukraine (KPI), Peremogy Avenue 37, Kyiv, Ukraine
DOI:
10.1090/S0094-9000-06-00662-4
PII:
S 0094-9000(06)00662-4
Received by editor(s):
19/MAR/2004
Posted:
August 10, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
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