16 / 17
10.
Кокс Д.
,
Оукс Д.
Анализ данных типа времени жизни. М.: Финансы и статистика,
1988. 191 с.
11.
Тимонин В.И.
О предельном распределении статистики одного непараметри-
ческого критерия // Теория вероятностей и ее применение. 1987. Т. 32. № 4.
С. 790–792.
12.
Hajek J.
,
Sidak Z
. Theory of rank tests. London: Academic Press, 2004. 438 p.
REFERENCES
[1] Cox D.R. Regression Models and Life-Tables.
J. of the Royal Statistical Society.
Series B
(
Methodological
), 1972, vol. 34, no. 2, pp. 187–220.
[2] Timonin V.I., Tyannikova N.D. The homogeneity testing of two censored samples of
times to failure based on a comparison of the Kaplan –Meier estimates of reliability
functions.
Fizicheskie osnovy priborostroeniya
[Physical Bases of Instrumentation],
2015, vol. 4, no. 1, pp. 30–41 (in Russ.).
[3] Bagdonavichus V., Kruopis J., Nikulin M.S. Nonparametric tests for censored data.
London, ISTE Ltd, 2011. 233 p.
[4] Balakrishnan N., Cramer E. The Art of Progressive Censoring. Applications to
Reliability and Quality. N.Y., Springer, 2014. 645 p.
[5] Kaplan E.L., Meier P. Nonparametric estimation from incomplete observations.
J.
am. Stat. Assoc.
, 1958, no. 53, pp. 57–81.
[6] Timonin V.I., Ermolaeva M.A. About Kaplan –Meyer Estimators in Statistics
Similar to Kolmogorov – Smirnov for Testing the Hypothesis in Variable Load
Tests Elektromagnitnye volny i elektronnye sistemy [Electromagnetic Waves and
Electronic Systems], 2010, vol. 15, no. 7, pp. 18–26 (in Russ.).
[7] Balakrishnan N., Tripathi R.C., Kannan N. Some nonparametric precedence type
tests based on progressively censored samples and evaluation of power.
J. Stat. Plan.
Infer
., 2010, no. 140, pp. 559–573.
[8] Maturi T.A., Coolen-Schrijner P., Coolen F.P. Nonparametric predictive comparison
of lifetime data under progressive censoring.
J. Stat. Plan. Infer
., 2010, no. 140,
pp. 515–525.
[9] Timonin V.I., Tyannikova N.D. The Method of Calculating the Exact Distributions
of the Kolmogorov–Smirnov Statistics in Case of Violation of Homogeneity and
Independence of the Analyzed Samples. “
Jelektr. Nauchno-Tehn. Izd “Nauka
i obrazovanie
” [El. Sc.-Tech. Publ. “Science and Education”], 2012, no. 12.
Available at:
http://technomag.bmstu.ru/doc/740251.html(accessed 14.11.2014)
DOI: 10.7463/1114.0740251
[10] Cox D.R., Oakes D. Analysis of Survival Data. London–New York, Chapman &
Hall, 1984.
[11] Timonin V.I. On Limiting Behaviour of Some Nonparametric Test. Teoriya
veroyatnostey i ee primenenie [Theory of Probability and its Applications], 1987,
vol. 32, no. 4, pp. 790–792 (in Russ.).
[12] Hajek J., Sidak Z. Theory of rank tests. London: Academic Press, 2004. 438 p.
Статья поступила в редакцию 03.06.2015
Тимонин Владимир Иванович — д-р физ.-мат. наук, профессор кафедры “Высшая
математика” МГТУ им. Н.Э. Баумана.
МГТУ им. Н.Э. Баумана, Российская Федерация, 105005, Москва, 2-я Бауманская ул.,
д. 5.
Timonin V.I. —
D.Sc.(Phys.-Math.), Professor, Department of Higher Mathematics,
Bauman Moscow State Technical University.
Bauman Moscow State Technical University, 2-ya Baumanskaya ul. 5, Moscow, 105005
Russian Federation.
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2015. № 6
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