On Regression Models with Non-Square Integrable Martingale-Like Errors
Publications mathématiques et informatique de Rennes (1987)
- Volume: 1987, Issue: 1, page 97-107
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topMel'nikov, A. V.. "On Regression Models with Non-Square Integrable Martingale-Like Errors." Publications mathématiques et informatique de Rennes 1987.1 (1987): 97-107. <http://eudml.org/doc/274533>.
@article{Melnikov1987,
author = {Mel'nikov, A. V.},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {drift; observed semimartingale; strong consistency of least-square estimators; multidimensional large numbers law for local martingales; sequential estimators; guaranteed accuracy; general local martingales},
language = {eng},
number = {1},
pages = {97-107},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {On Regression Models with Non-Square Integrable Martingale-Like Errors},
url = {http://eudml.org/doc/274533},
volume = {1987},
year = {1987},
}
TY - JOUR
AU - Mel'nikov, A. V.
TI - On Regression Models with Non-Square Integrable Martingale-Like Errors
JO - Publications mathématiques et informatique de Rennes
PY - 1987
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 1987
IS - 1
SP - 97
EP - 107
LA - eng
KW - drift; observed semimartingale; strong consistency of least-square estimators; multidimensional large numbers law for local martingales; sequential estimators; guaranteed accuracy; general local martingales
UR - http://eudml.org/doc/274533
ER -
References
top- 1. A.V. Mel'nikov, On a large numbers law for multidimensional local martingales, IVInternational Vilnius Conference on Probab. and Math. Stat., Summary of papers, Vilnius, 1985.
- 2. R. Sh. Liptser, A. N. Shiryaev, Theory of martingales, Moscow, Nauka, 1986. MR886678
- 3. A.V. Mel'nikov, The law of large numbers for multidimensional martingales, Soviet Math. Dokl., V. 33 (1986), N° 1, p. 131-135. Zbl0605.60047MR834691
- 4. A.V. Mel'nikov, A. A. Novikov, On sequential inferences with guaranted accuracy for semimartingales, Theory Probab. and Appl., XXXIII, 3 (1988). Zbl0693.62066MR968395
- 5. A. A. Novikov, On discontinuous martingales, Theory Probab. and Appl., XX, 1,1975, p. 13-28. Zbl0354.60025MR394861
- 6. A. A. Novikov, Consistency of LS-estimates in regression models with martingale errors, In Statistics and Control of Stochastic Processes, Optimization software, Springer-Verlag, Berlin and etc, 1985. Zbl0645.62094MR808213
- 7. A. Lebreton, M. Musiela, Strong consistency of LS-estimates in linear regression models driven by semimartingales, J. Multiv. Anal.,1987, 23, 1, p. 77-92. Zbl0627.62089MR911795
- 8. A. V. Mel'nikov, On Strong consistency of LS-estimates in regression models with depending errors, Proceedings of IV European Young Statisticians Meeting, Pliska, Sofia, 1988.
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