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Optimum allocation in multivariate stratified random sampling: Stochastic matrix optimisation
Multivariate stratified random sampling modified E-model stochastic programming optimum allocation integer programming E-model V -model P-model
2011/6/17
The allocation problem for multivariate stratified random sampling as a problem of
stochastic matrix integer mathematical programming is considered. With these aims
the asymptotic normality of sampl...
Optimal Multistage Sampling in a Boundary-Crossing Problem
Asymptotic Brownian motion Group sequential Multistage Optimality
2011/6/17
Brownian motion with known positive drift is sampled in stages until
it crosses a positive boundary a. A family of multistage samplers that con-
trol the expected overshoot over the boundary by vary...
How to Combine Fast Heuristic Markov Chain Monte Carlo with Slow Exact Sampling
Confidence interval Exact sampling Markov Chain Monte Carlo
2009/5/4
Given a probability law $pi$ on a set S and a function $g : S rightarrow R$, suppose one wants to estimate the mean $bar{g} = int g dpi$. The Markov Chain Monte Carlo method consists of inventing and ...
Equidistant sampling for the maximum of a Brownian motion with drift on a finite horizon
Gaussian random walk maximum Riemann zeta function Euler-Maclaurin summation equidistant sampling of Brownian motion finite horizon
2009/4/29
A Brownian motion observed at equidistant sampling points renders a random walk with normally distributed increments. For the difference between the expected maximum of the Brownian mo- tion and its s...
Sampling Formulae for Symmetric Selection
Ewens sampling formula partition structure symmetric selection homozygosity
2009/4/27
We study partition distributions in a population genetics model incorporating symmetric selection and mutation. They generalize Ewens distributions in the infinitely-many-neutral-alleles model, an exp...