Geodesic
Planning of clarifying observations under the controlling of overhead transmission lines from laser scanning data
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 75-85.

Voir la notice de l'article provenant de la source Math-Net.Ru

We present an approach to the planning of clarifying observations of overhead lines. To this end, we process the high-precision data obtained with the use of the technology of laser scanning. We give the results of estimation of the parameters of the generalized lambda distribution of observational errors, which allows us to apply the algorithm for the planning of experiments and obtain the coordinates of the points for the clarifying observations. It is shown that the thus-constructed plans are effective and their application gives a gain in estimation accuracy.
Keywords: planning of experiment, Fisher information matrix, generalized lambda-distribution, controlling of overhead transmission lines.
Mots-clés : regression 
@article{SJIM_2012_15_2_a7,
     author = {V. I. Denisov and V. S. Timofeev and E. A. Khailenko},
     title = {Planning of clarifying observations under the controlling of overhead transmission lines from laser scanning data},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {75--85},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a7/}
}
TY  - JOUR
AU  - V. I. Denisov
AU  - V. S. Timofeev
AU  - E. A. Khailenko
TI  - Planning of clarifying observations under the controlling of overhead transmission lines from laser scanning data
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2012
SP  - 75
EP  - 85
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a7/
LA  - ru
ID  - SJIM_2012_15_2_a7
ER  - 
%0 Journal Article
%A V. I. Denisov
%A V. S. Timofeev
%A E. A. Khailenko
%T Planning of clarifying observations under the controlling of overhead transmission lines from laser scanning data
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2012
%P 75-85
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a7/
%G ru
%F SJIM_2012_15_2_a7
V. I. Denisov; V. S. Timofeev; E. A. Khailenko. Planning of clarifying observations under the controlling of overhead transmission lines from laser scanning data. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 75-85. http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a7/

[1] Karian Z. A., Dudewicz E. J., Fitting Statistical Distributions: the Generalized Lambda Distribution and Generalized Bootstrap Methods, CRC Press, N.Y., 2000 | MR | Zbl

[2] URL: geolidar.dev.machaon.ru/publications/article/electro-info(6)-2004

[3] URL: http://www.intergeo.ru/catalog.php?id=819

[4] Merkin D. R., Vvedenie v mekhaniku gibkoi niti, Nauka, M., 1980 | MR | Zbl

[5] Lakhany A., Mausser H., “Estimation the parameters of the Generalized Lambda Distribution”, ALGO Research Quarterly, 3:3 (2000), 27–58

[6] Aivazyan S. A., Enyukov I. S., Meshalkin L. D., Prikladnaya statistika, Finansy i statistika, M., 1985 | MR

[7] Fedorov V. V., Teoriya optimalnogo planirovaniya eksperimenta, Nauka, M., 1971 | Zbl

[8] Khyuber P., Robastnost v statistike, Mir, M., 1984 | MR

[9] Denisov V. I., Timofeev V. S., Khailenko E. A., Programmnaya sistema ustoichivogo i adaptivnogo otsenivaniya parametrov regressionnykh modelei i planirovaniya eksperimenta, Svidetelstvo o gosudarstvennoi registratsii programmy dlya EVM No 2011614692 ot 15.06.2011

[10] Rousseeuw P. J., van Driessen K., Computing LTS Regression for Large Data Sets, Mimeo. Dept. Mathematics, Univ. of Antwerpen, 1999

[11] Rousseeuw P. J., “Robust regression, positive breakdown”, Encyclopedia of Statistical Sciences: Update, v. 1, John Wiley, N.Y., 1997, 481–495

[12] Ivchenko G. I., Medvedev Yu. I., Matematicheskaya statistika, Ucheb. posobie dlya vtuzov, Vyssh. shkola, M., 1984 | MR | Zbl

[13] Timofeev V. S., Khailenko E. A., “Optimalnoe planirovanie eksperimenta dlya regressionnykh modelei s obobschennym lyambda-raspredeleniem oshibok”, Nauchn. vestn. NGTU (Novosibirsk), 42:1 (2009), 95–106

[14] Denisov V. I., Lisitsin D. V., Metody postroeniya mnogofaktornykh modelei po neodnorodnym, negaussovskim, zavisimym nablyudeniyam, Izd-vo NGTU, Novosibirsk, 2008