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The convolution density at z, times the strip width dz.

Usage

SumDensP(grid_x, density_x, grid_y, density_y, z, dz)

Arguments

grid_x, density_x, grid_y, density_y

the two densities.

z

strip centre.

dz

strip width.

Value

list(probability, rho_z).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (6.66).

Examples

g <- seq(-8, 8, length.out = 1601)
SumDensP(g, stats::dnorm(g), g, stats::dnorm(g), 1, 0.01)$probability
#> [1] 0.002196956