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@article{1324005, author = {Kraus, David}, article_location = {Amsterdam}, article_number = {10}, doi = {http://dx.doi.org/10.1016/j.jspi.2009.04.009}, keywords = {Censoring; Neyman's smooth test; Schwarz's selection rule; Survival analysis; Two sample test}, language = {eng}, issn = {0378-3758}, journal = {Journal of Statistical Planning and Inference}, title = {Adaptive Neyman's smooth tests of homogeneity of two samples of survival data}, volume = {139}, year = {2009} }
TY - JOUR ID - 1324005 AU - Kraus, David PY - 2009 TI - Adaptive Neyman's smooth tests of homogeneity of two samples of survival data JF - Journal of Statistical Planning and Inference VL - 139 IS - 10 SP - 3559-3569 EP - 3559-3569 PB - Elsevier Science BV SN - 03783758 KW - Censoring KW - Neyman's smooth test KW - Schwarz's selection rule KW - Survival analysis KW - Two sample test N2 - The problem of testing whether two samples of possibly right-censored survival data come from the same distribution is considered. The aim is to develop a test which is capable of detection of a wide spectrum of alternatives. A new class of tests based on Neyman's embedding idea is proposed. The null hypothesis is tested against a model where the hazard ratio of the two survival distributions is expressed by several smooth functions. A data-driven approach to the selection of these functions is studied. Asymptotic properties of the proposed procedures are investigated under fixed and local alternatives. Small-sample performance is explored via simulations which show that the power of the proposed tests appears to be more robust than the power of some versatile tests previously proposed in the literature (such as combinations of weighted logrank tests, or Kolmogorov-Smirnov tests). (C) 2009 Elsevier B.V. All rights reserved. ER -
KRAUS, David. Adaptive Neyman's smooth tests of homogeneity of two samples of survival data. \textit{Journal of Statistical Planning and Inference}. Amsterdam: Elsevier Science BV, 2009, roč.~139, č.~10, s.~3559-3569. ISSN~0378-3758. Dostupné z: https://dx.doi.org/10.1016/j.jspi.2009.04.009.
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