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Asymptotically optimal nonparametric one- and two-way analysis of variance tests for the log linear model under censoring
Authors:Prof. Dr. T. J. Terpstra
Affiliation:1. Department of Applied Mathematics, University Twente, The Netherlands
Abstract:We considerr ×c populations with failure ratesλ ij(t) satisfying the condition

$$left{ begin{gathered}  lambda _{ij} (t) = lambda (t) exp  (alpha _i  + beta _j  + gamma _{ij} ), hfill   Sigma alpha _i  = 0,  Sigma beta _j  = 0,  mathop Sigma limits_j gamma _{ij}  = 0,  mathop Sigma limits_i gamma _{ij}  = 0,  i leqslant r,   i leqslant c, hfill   lambda (t) being unknown. hfill  end{gathered}  right.$$
Keywords:Survival analysis  log linear model  analysis of variance  censoring  partial likelihood  non-parametric theory  contiguity  asymptotic optimal similar tests  counting process  intensity process  martingale  stochastic integral
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