drpois: Reduced poisson probability distribution function...
In mrparker909/redNMix: An R package for N-mixtures models.

Description Usage Arguments Value Examples

Reduced poisson probability distribution function rPoisson(x;λ,r), takes reduced quantiles (use drpois2 for full quantiles).

1	drpois(x, lambda, red, log = FALSE)

`x`	Reduced count quantile (alternatively input reduction(x,r) if x is a full count quantile).
`lambda`	Mean of the full count poisson distribution.
`red`	The factor r by which x was reduced.

The probability of observing quantile x

# probability of observing 105 from pois(lam=90)
x <- dpois(x = 105, lambda = 90)
# probability of observing reduction(105, 10) from rpois(lam=90, r=10) is larger since multiple values of x map to the same value of y
y <- drpois(x = reduction(105, 10), lambda = 90, red = 10)

Y <- drpois(seq(0,20,1), 55, 10)
plot(Y, xlab="Y=rPois(lambda=55, r=10)", main="X~Poisson(lambda=55)", ylab="P[Y=y]")