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On Asymptotically Distribution Free Tests with Parametric Hypothesis for Ergodic Diffusion Processes
Cramer-von Mises tests ergodic diffusion process goodness of fit test asymptotically distribution free
2013/6/14
We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coe...
On Asymptotically Distribution Free Tests with Parametric Hypothesis for Ergodic Diffusion Processes
Cramer-von Mises tests ergodic diffusion process goodness of fit test asymptotically distribution free
2013/6/14
We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coe...
Fourier methods for smooth distribution function estimation
Fourier analysis kernel distribution estimation mean integrated squared error optimal bandwidth sinc kernel
2013/6/14
In this paper we show how to use Fourier transform methods to analyze the asymptotic behavior of kernel distribution function estimators. Exact expressions for the mean integrated squared error in ter...
A Poisson Mixed Model with Nonnormal Random Effect Distribution
Count data Generalized log-gamma distribution Multivariate negative binomial distribution Overdispersion Random-effect models
2011/6/17
We propose in this paper a random intercept Poisson model in which the random effect distribution
is assumed to follow a generalized log-gamma (GLG) distribution. We derive the first two moments
for...
The Distribution of Time Spent by a Standard Excursion Above a Given Level, with Applications to Ring Polymers near a Discontinuity in Potential
Standard Brownian Excursions Brownian Bridges Ring Polymers End-Attached Polymers
2009/5/8
The law for the time tau_{a} spent by a standard Brownian excursion above a given level a>0 is found using Ito excursion theory. This is achieved by conditioning the excursion to have exactly one mark...
A Bound for the Distribution of the Hitting Time of Arbitrary Sets by Random Walk
Random walk hitting time exit time sandpile model
2009/4/28
We consider a random walk $S_n = sum_{i=1}^n X_i$ with i.i.d. $X_i$. We assume that the $X_i$ take values in $Bbb Z^d$, have bounded support and zero mean. For $A subset Bbb Z^d, A ne emptyset$ we def...