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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 408, Pages 43–61 (Mi znsl5491)  
This article is cited in 2 scientific papers (total in 2 papers)

On chi-squared type tests and their applications in survival analysis and reliability

V. Bagdonavičiusa, R. Levulienea, M. S. Nikulinb, Q. X. Tran

a Vilnius University, Vilnius, Lithuania
b IMB, Victor Segalen University, Bordeaux, France
Full-text PDF (281 kB) Citations (2)
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Abstract: The famous chi-square test of Pearson is well known, but different modifications of this test are not so well known. The theory of the chi-squared tests is developed very actively till now, especially in accelerated trials. We shall discuss here some applications of the theory of chi-squared tests in reliability and survival analysis for parametric regression models with time depending covariates when data are right censored.
Key words and phrases: chi-squared test, complete data, composite hypothesis, Fisher's information, goodness-of-fit, maximum likelihood estimator, parametric hypothesis, random cells, regression models, reliability, right censored data, simple sample, survival analysis.
Received: 15.10.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 2, Pages 88–99
DOI: https://doi.org/10.1007/s10958-014-1835-x
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: English
Citation: V. Bagdonavičius, R. Levuliene, M. S. Nikulin, Q. X. Tran, “On chi-squared type tests and their applications in survival analysis and reliability”, Probability and statistics. Part 18, Zap. Nauchn. Sem. POMI, 408, POMI, St. Petersburg, 2012, 43–61; J. Math. Sci. (N. Y.), 199:2 (2014), 88–99
Citation in format AMSBIB
\Bibitem{BagLevNik12}
\by V.~Bagdonavi{\v{c}}ius, R.~Levuliene, M.~S.~Nikulin, Q.~X.~Tran
\paper On chi-squared type tests and their applications in survival analysis and reliability
\inbook Probability and statistics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 408
\pages 43--61
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032207}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 2
\pages 88--99
\crossref{https://doi.org/10.1007/s10958-014-1835-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902253457}
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  • https://www.mathnet.ru/eng/znsl/v408/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:61
     
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