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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 368, Pages 7–19 (Mi znsl3500)  
This article is cited in 6 scientific papers (total in 6 papers)

Goodness-of-fit for the Cox model from left truncated and right censored data

V. Bagdonavičiusa, R. Levulienéa, M. S. Nikulinb

a Vilnius University, Vilnius, Lithuania
b IMB, University Victor Segalen, Bordeaux, France
Full-text PDF (575 kB) Citations (6)
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Abstract: We propose a test for the proportional hazards (Cox) model which is oriented against wide classes of alternatives including monotone hazard ratios and crossings of survival functions and can be used when data are left truncated and right censored. The limit distribution of the test statistics is derived. The results are applied for statistical analysis of classical data considered by Stablein and Koutrouvelis [19], Klein and Moeschberger [12], Hosmer and Lemeshow [7], Hosmer, Lemeshow and May [8]. Bibl. – 20 titles.
Key words and phrases: AFT model, Cox model, chemotherapy, crossings of survival functions, chemotherapy plus radiotherapy, chi-squared test, censored data, drug abuse, elderly, explanatory variable, gastric cancer patient, heroin addict, metadone treatment, left truncated data, modified score function, monotone hazard ratio, retirement community, right censored data.
Received: 09.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 167, Issue 4, Pages 436–443
DOI: https://doi.org/10.1007/s10958-010-9929-6
Bibliographic databases:
Document Type: Article
UDC: 519
Language: English
Citation: V. Bagdonavičius, R. Levuliené, M. S. Nikulin, “Goodness-of-fit for the Cox model from left truncated and right censored data”, Probability and statistics. Part 15, Zap. Nauchn. Sem. POMI, 368, POMI, St. Petersburg, 2009, 7–19; J. Math. Sci. (N. Y.), 167:4 (2010), 436–443
Citation in format AMSBIB
\Bibitem{BagLevNik09}
\by V.~Bagdonavi{\v{c}}ius, R.~Levulien\'e, M.~S.~Nikulin
\paper Goodness-of-fit for the Cox model from left truncated and right censored data
\inbook Probability and statistics. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 368
\pages 7--19
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3500}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 167
\issue 4
\pages 436--443
\crossref{https://doi.org/10.1007/s10958-010-9929-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953915923}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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