d2_sampler_special: Sample from a 2D Distribution Given FX(x) and F(y|X = x)
In reikerp/contdistpeter: Peter's Continuous Distribution Package

Description Usage Arguments Value Author(s) Examples

Sample from a 2D Distribution Given FX(x) and F(y|X = x) This function samples from a 2D distribution given the marginal pdf of X and the conditional pdf of Y given X = x. Its output is in the form of a data frame where the elements are x and y samples from the specified 2D distribution.

This function uses the rejection_sampling function. Depending upon the sample size and complexity of the distribution, this function may run more than 1 minute.

1	d2_sampler_special(n = 1, fx, fyx)

`n`	is the number of samples to generate.
`fx`	is the marginal pdf of X.
`fyx`	is the conditional pdf of Y given X = x (it is in the form function(y,x) expression).

my_samples is a data frame of x and y samples from the desired 2D distribution.

Peter Reiker

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d2_sampler_special(2*10^3, function(x) {exp(-x^2/2)/sqrt(2*pi)}, function(y,x){exp(-y^2/2)/sqrt(2*pi)})
d2_sampler_special(2*10^3, function(x) {ifelse(x > 0, exp(-x), 0)}, function(y,x){ifelse(0 < y & y < x, 1/x, 0)})
d2_sampler_special(2*10^3, function(x) {ifelse(0.01 < x & x < 1.01, 1, 0)}, function(y,x){ifelse(0 < y, x*exp(-y*x), 0)})