I amdo not understandingunderstand Which is more accurate, the hit-and-miss method or the improved Monte-Carlo method?
hereHere it is written that that the hit-and-miss has a higher variance but they showed (variance of improved Monte-Carlo) - (variance of hit-and-miss method) > 0
$$\sigma^2_M-\sigma^2_H>0$$
Doesn't it imply improved Monte-Carlo method has a higher variance?
Can you please explain it experimentally to me with an easy example ? Such(such as for a small integration.)?