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A test for model specification of diffusion processes
Bootstrap diffusion process empirical likelihood goodness-offittest time series transitional density
2010/4/26
We propose a test for model specification of a parametric diffusion
process based on a kernel estimation of the transitional density of
the process. The empirical likelihood is used to formulate a s...
The Cyclohedron Test for Finding Periodic Genes in Time Course Expression Studies
Cyclohedron Test Periodic Genes Time Course Expression Studies
2010/4/27
The problem of finding periodically expressed genes from time course microarray
experiments is at the center of numerous efforts to identify the molecular components
of biological clocks. We present...
Extremal Probabilistic Problems and Hotelling's T2 Test Under Symmetry Condition
Probability inequalities extremal probability problems Hotelling’s T2 test monotonelikelihood ratio stochastic monotonicity
2010/4/26
We consider Hotelling’s T2 statistic for an arbitrary d-dimensional sample.
If the sampling is not too deterministic or inhomogeneous, then under zero
means hypothesis, T2 tends to χ2d in distributi...
Goodness of fit test for ergodic diffusion processes
consistent test empirical process asymptotically distributionfree tests
2010/4/26
A goodness of fit test for the drift coefficient of an ergodic diffusion
process is presented. The test is based on the score marked empirical
process. The weak convergence of the proposed test stat...