18,486 research outputs found
Rejoinder: Conditional Growth Charts
Rejoinder: Conditional Growth Charts [math.ST/0702634]Comment: Published at http://dx.doi.org/10.1214/009053606000000678 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Discussion paper. Conditional growth charts
Growth charts are often more informative when they are customized per
subject, taking into account prior measurements and possibly other covariates
of the subject. We study a global semiparametric quantile regression model that
has the ability to estimate conditional quantiles without the usual
distributional assumptions. The model can be estimated from longitudinal
reference data with irregular measurement times and with some level of
robustness against outliers, and it is also flexible for including covariate
information. We propose a rank score test for large sample inference on
covariates, and develop a new model assessment tool for longitudinal growth
data. Our research indicates that the global model has the potential to be a
very useful tool in conditional growth chart analysis.Comment: This paper discussed in: [math/0702636], [math/0702640],
[math/0702641], [math/0702642]. Rejoinder in [math.ST/0702643]. Published at
http://dx.doi.org/10.1214/009053606000000623 in the Annals of Statistics
(http://www.imstat.org/aos/) by the Institute of Mathematical Statistics
(http://www.imstat.org
Time changes of symmetric diffusions and Feller measures
We extend the classical Douglas integral, which expresses the Dirichlet
integral of a harmonic function on the unit disk in terms of its value on
boundary, to the case of conservative symmetric diffusion in terms of Feller
measure, by using the approach of time change of Markov processes.Comment: Published at http://dx.doi.org/10.1214/009117904000000649 in the
Annals of Probability (http://www.imstat.org/aop/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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