Comparision of bootstrap and analytical errors of estimated parameters of background distribution of the population of the Ural region
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 1, pp. 28-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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Data analysis methods based on data resampling are becoming popular today. Particularly, the bootstrap method is used in econometrics [1], ecology and biology [2, 3] to estimate such statistical values as standard deviation, confidence interval, etc [4]. The comparison of analytical and bootstrap errors of parameters of background distribution is presented in this work. Bootstrap results are in good agreement with the analytical ones.
Keywords: statistical model; EPR measurements; bootstrap.
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Yu. S. Timofeev. Comparision of bootstrap and analytical errors of estimated parameters of background distribution of the population of the Ural region. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 1, pp. 28-31. http://geodesic.mathdoc.fr/item/VYURM_2015_7_1_a3/

[1] Orlov A. I., Econometrics. Textbook, Izdatel'stvo “Ekzamen” Publ., M., 2002, 576 pp. (in Russ.)

[2] S. Van Dongen, T. Backeljau, “One and two-sample tests for single locus inbreeding coefficients using the bootstrap”, Heredity, 74 (1995), 129–135 | DOI

[3] B. F. J. Manly, Randomization, Bootstrap and Monte Carlo Methods in Biology, 2nd edition, Chapman and Hall, London, 1997, 300 pp.

[4] A. C. Davison, D. V. Hinkley, Bootstrap Methods and their Application, Cambridge University Press, Cambridge, 1997, 582 pp. | DOI

[5] M. Ikeya, J. Miyajima, S. Okajima, “ESR dosimetry for atomic bomb survivors using shell buttons and tooth enamel”, Japanese J. of Applied Physics, 23 (1984), 697–699 | DOI

[6] A. A. Romanyukha, V. Nagy, M. F. Desrosiers et al., “Individual biodosimetry at the natural radiation background level”, Health Phys., 80 (2001), 71–73 | DOI

[7] E. Shishkina, E. Tolstykh, M. Degteva et al., “Variability of the radiation sensitivity for tooth enamel of the Ural residents”, ANRI (Instruments and Methods of Radiat. Meas.), 69 (2012), 41–50

[8] A. Wieser, P. Fattibene, E. A. Shishkina et al., “Assessment of performance parameters for EPRdosimetry with tooth enamel”, Radiation Measurements, 43 (2008), 731–736 | DOI

[9] Zalyapin V. I., Timofeev Yu. S., Shishkina E. A., “Statistical Reconstruction of the Distribution of Background Doses Based on the Results of the EPR Measurements”, Bulletin of South Ural State University. Series of “Mathematics. Mechanics. Physics”, 6:1 (2014), 22–27

[10] E. A. Shishkina, P. Fattibene, A. Wieser et al., “EPR dosimetry of radiation background in the Urals region”, Radiation protection: from knowledge to action, Proceedings of Second European IRPA congress on radiation protection (2006), 12, CD, No TA-33

[11] E. A. Shishkina, Y. S. Timofeev, D. V. Ivanov, “Software for evaluation of EPR-dosimetry performance”, Radiation Protection Dosimetry, 159:1–4 (2014), 188–193 | DOI