0
votes
1answer
56 views

Sample uniform direction within cone

My question is pretty much the same as this question below, however I came up with a potential solution to this problem that I didn't see an answer to in the other question and I was wondering if it ...
0
votes
0answers
21 views

Understanding graph obtained from Monte-Carlo simulations

I am running a Monte Carlo Simulation where I sample from about 65 Normal Distributions. I also keep track of the probability associated with each sample by approximating a thin area in the Normal ...
1
vote
1answer
76 views

Quasi-random sequence on the unit $2$-sphere for Monte-Carlo based method

Please forgive my possible misuse of the appropriate definitions. I'm looking for a quasi-random sequence of directions in the unit $2$-sphere, to be used in a Monte-Carlo method to calculate an ...
0
votes
1answer
289 views

Why are random numbers necessary for a Monte Carlo simulation?

This may be somewhat of a question with an obvious answer, but I can not seem to understand the necessity of "truly" random numbers to make a Monte Carlo simulation a good one. I understand that not ...
2
votes
3answers
217 views

Validating results of a Monte Carlo integration

Suppose I want to use the Monte Carlo integration method to compute the following integral $\int_D (e^{x^{2}} + e^{y^{2}}) \; dx \; dy$ where $D$ is some regular hexagon. I have managed to write the ...
0
votes
0answers
183 views

Uniform Random Points on a triangle using only edge plane normals

For a triangle $ABC$ in 3D (each point has x, y, z coordinates) is it possible to generate uniform random points on the triangle from only the following data: Normal of the triangle plane $N = ...
5
votes
1answer
292 views

How is a Halton sequence related to a Latin hypercube?

I currently use a Halton sequence to choose parameter sets for a prognostic model (e.g. using metabolic rate and protein content parameters to predict growth rate). From my understanding, both a ...