Tagged Questions

25 views

CLT in a Monte Carlo simulation, small sample

A CLT says that asymptotically the sampling distribution of the sampling mean converges to the Normal. I would like to run a Monte Carlo simulation using information on one of the model's variables ...
15 views

Estimate covariance matrix for an unnormalized distribution

I have access to unnnormalized density of some distribution and want to estimate covariance matrix for this distribution. However, Monte-Carlo approach doesn't work well in this case. For distribution ...
48 views

Random walk with restricted graph knowledge

I have a very large graph and a function of its vertices, and want to estimate mean value of this function. It's not possible to sample vertices uniformly in this problem, so a reasonable choice for ...
106 views

Estimating covariance of the difference of directional distributions derived from Gaussian mixtures

Given Gaussian mixtures $X_1, X_2 \in \mathbb{R}^p$ defined as $$P(X_i = x) = \sum_s \omega^{(s)}_i \mathcal{N}(x; \mu^{(s)}_i, \Sigma_i)$$ where the superscript $(s)$ indexes the $s$-th component of ...
137 views

Estimating customer waiting time and server idle time on a finite horizon, stochastic, single-server queue

I am working on a problem of scheduling appointments for a stochastic, single-server queue. There are $n$ customers who each have independent, randomly distributed service durations $Z_i$. The ...
243 views

How to estimate the accuracy of an integral?

An extremely common situation in computer graphics is that the colour of some pixel is equal to the integral of some real-valued function. Often the function is too complicated to solve analytically, ...
I am trying to compute an expectation $E[f(X;\theta,n)]$ where $\theta$ and $n$ are known parameters. I have an easy-to-compute deterministic function $\tilde{f}(\theta,n)$ that provides an ...