Geodesic
Experience of logistic regression parameters calculation by Newton-Rafson method to estimation resistance to cold of plants
Matematičeskaâ biologiâ i bioinformatika, Tome 6 (2011) no. 2, pp. 190-199 
N. P. Vasil'ev; A. A. Egorov. Experience of logistic regression parameters calculation by Newton-Rafson method to estimation resistance to cold of plants. Matematičeskaâ biologiâ i bioinformatika, Tome 6 (2011) no. 2, pp. 190-199. http://geodesic.mathdoc.fr/item/MBB_2011_6_2_a10/
@article{MBB_2011_6_2_a10,
     author = {N. P. Vasil'ev and A. A. Egorov},
     title = {Experience of logistic regression parameters calculation by {Newton-Rafson} method to estimation resistance to cold of plants},
     journal = {Matemati\v{c}eska\^a biologi\^a i bioinformatika},
     pages = {190--199},
     year = {2011},
     volume = {6},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MBB_2011_6_2_a10/}
}
TY  - JOUR
AU  - N. P. Vasil'ev
AU  - A. A. Egorov
TI  - Experience of logistic regression parameters calculation by Newton-Rafson method to estimation resistance to cold of plants
JO  - Matematičeskaâ biologiâ i bioinformatika
PY  - 2011
SP  - 190
EP  - 199
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MBB_2011_6_2_a10/
LA  - ru
ID  - MBB_2011_6_2_a10
ER  - 
%0 Journal Article
%A N. P. Vasil'ev
%A A. A. Egorov
%T Experience of logistic regression parameters calculation by Newton-Rafson method to estimation resistance to cold of plants
%J Matematičeskaâ biologiâ i bioinformatika
%D 2011
%P 190-199
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/MBB_2011_6_2_a10/
%G ru
%F MBB_2011_6_2_a10

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

When calculating the parameters of the logistic regression, which was used as a statistical model to estimation resistance to cold of plants, the authors faced the problem of unstable calculations. As is known, the task of constructing a logistic regression is reduced to a nonlinear system of equations. Newton–Raphson method is used to solution of this system. For some versions of the original data the convergence of the approximations is not stable. The possible solutions to this problem are discussed. The final results are compared for a number of criteria with results obtained using the well-known statistical program SPSS.

[1] Lir Kh., Polster G., Fidler G.I., Fiziologiya drevesnykh rastenii, Lesnaya prom-st, M., 1974, 424 pp.

[2] Bulygin N.E., Yarmishko V.T., Dendrologiya, Nauka, SPb., 2000, 528 pp.

[3] Fadeeva I.V., Egorov A.A., “Prodolzhitelnost zimnego pokoya u Tilia cordata Mill. i T. platyphyllos Scop. v Sankt-Peterburge”, Fundamentalnye i prikladnye problemy botaniki v nachale KhKhI veka, mater. vserossiiskoi konf. v ramkakh KhII s'ezda Russ. botan. obsch-va, v. 6, Petrozavodsk, 2008, 350–353 | Zbl

[4] Volf E.L., “Nablyudeniya nad morozostoikostyu derevyanistykh rastenii”, Tr. byuro po prikl. botan., 10:1 (1917), 1–146

[5] Lapin P.I., Sidneva S.V., “Otsenka perspektivnosti introduktsii drevesnykh rastenii po dannym vizualnykh nablyudenii”, Opyt introduktsii drevesnykh rastenii, Gl. bot. Sad, M., 1973, 7–67

[6] Vapnik V.N., The Nature of Statistical Learning Theory, Springer-Verlag, New York, 2000, 332 pp. | MR | Zbl

[7] Reaktsiya aborigennykh i introdutsirovannykh khvoinykh na izmenenie klimata na Severo-Zapade Rossii, Nauchnyi otchet (zaklyuchitelnyi). Ruk. A.A. Egorov, SPb GLTA, SPb., 2010, 102 pp.

[8] Ekologo-geograficheskii analiz kollektsii golosemennykh rastenii botanicheskogo sada Sankt-Peterburgskoi gosudarstvennoi lesotekhnicheskoi akademii, Nauchnyi otchet (zaklyuchitelnyi). Ruk. A.A. Egorov, SPb GLTA, SPb., 2010, 66 pp.