Hit or Miss Monte Carlo Integration

Yihui Xie & Lijia Yu 2017-04-04

Integrate a function using the Hit-or-Miss Monte Carlo algorithm.

We compute the proportion of points hitting the area under the curve, and the integral can be estimated by the proportion multiplied by the total area of the rectangle (from xmin to xmax, ymin to ymax).

ani.options(interval = 0.2, nmax = 100)

## should be close to 1/6

plot of chunk demo-a

## [1] 0.1725
## should be close to 1/12
MC.hitormiss(from = 0.5, to = 1)$est

plot of chunk demo-b

## [1] 0.07874