ddlaplace: Discrete Laplace Distribution

In dapper: Data Augmentation for Private Posterior Estimation

Discrete Laplace Distribution

Description

The probability mass function and random number generator for the discrete Laplacian distribution.

Usage

ddlaplace(x, scale = 1, log = FALSE)

rdlaplace(n, scale = 1)

Arguments

x	a vector of quantiles.
scale	the scale parameter.
log	logical; if TRUE, probabilities are given as log(p).
n	number of random deviates.

Details

Probability mass function

P[X=x] = \dfrac{e^{1/t} - 1}{e^{1/t} + 1} e^{-|x|/t}.

Value

• ddlaplace() returns a numeric vector representing the probability mass function of the discrete Laplace distribution.

• rdlaplace() returns a numeric vector of random samples from the discrete Laplace distribution.

References

Canonne, C. L., Kamath, G., & Steinke, T. (2020). The Discrete Gaussian for Differential Privacy. arXiv. \Sexpr[results=rd]{tools:::Rd_expr_doi("https://doi.org/10.48550/ARXIV.2004.00010")}

Examples

# mass function
ddlaplace(0)

# mass function is vectorized
ddlaplace(0:10, scale = 5)

# generate random samples
rdlaplace(10)

dapper documentation built on Oct. 29, 2024, 9:06 a.m.