CIOneSide: Finding One-Sided Confidence Intervals

In ttran2401/binomialDP: Differentially Private Inference for Binomial Data

Description

Finding One-Sided Confidence Intervals

Usage

CILower(alpha, Z, size, b, q)

CIUpper(alpha, Z, size, b, q)

Arguments

alpha	The confidence level of the returned confidence intervals
Z	A Binomial sample with Tulap noise
size	The number of trials in Binomial distribution (parameter n in Binomial(n, θ))
b	Discrete Laplace noise parameters, obtained by exp(-ε)
q	The truncated quantiles

Value

'CILower' returns a lower bound while 'CIUpper' returns an upper bound.

References

Awan, Jordan Alexander, and Aleksandra Slavkovic. 2020. "Differentially Private Inference for Binomial Data". Journal of Privacy and Confidentiality 10 (1). https://doi.org/10.29012/jpc.725.

See Also

Finding asymptotically unbiased two-sided confidence intervals CITwoSide

Examples

CILower(0.05, 7, 10, exp(-1), 0.05) #confidence interval (0.384, 1)
CIUpper(0.05, 2, 10, exp(-1), 0.05) #confidence interval (0, 0.517)

ttran2401/binomialDP documentation built on July 7, 2020, 1:18 a.m.