Is it possible to convert/transform a normally distributed random variable to a Poisson-variable?

Is it possible to convert/transform a normally distributed random variable to a sample from a Poisson-variable?

Answer 1

[Jos (10584)]

You could try an Anscombe transformation:

y = 2 * sqrt(x + 3/8)

[Mr M.]

this is an approximation?

[Jos (10584)]

yes. See the wikipedia page for more info.