Alexandra Maia

Publications (1)1.83 Total impact

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  Available from: uchile.cl

  Article: A note on testing separability in spatial-temporal marked point processes.

  Renato Assunção, Alexandra Maia
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  ABSTRACT: In environmental risk analysis, it is common to assume the stochastic independence (or separability) between the marks associated with the random events of a spatial-temporal point process. Schoenberg (2004, Biometrics 60, 471-481) proposed several test statistics for this hypothesis and used simulated data to evaluate their performance. He found that a Cramér-von Mises-type test is powerful to detect gradual departures from separability although it is not uniformly powerful over a large class of alternative models. We present a semiparametric approach to model alternative hypotheses to separability and derive a score test statistic. We show that there is a relationship between this score test and some of the test statistics proposed by Schoenberg. Specifically, all are different versions of weighted Cramér-von Mises-type statistics. This gives some insight into the reasons for the similarities and differences between the test statistics' performance. We also point out some difficulties in controlling the type I error probability in Schoenberg's residual test.
  Biometrics 04/2007; 63(1):290-4; discussion 294-5. · 1.83 Impact Factor