varDataAccess {DPpack} | R Documentation |
Differentially Private Variance Data Access Function
Description
This function performs the data access step in the computation of a
differentially private variance. The true values are computed using
var
, while the sensitivities are calculated based on
bounded and unbounded differential privacy (Kifer and Machanavajjhala 2011)
according to the theoretical values (Liu 2019). For the
variance, the sensitivities based on bounded and unbounded differential
privacy are identical, so only one value is returned.
Usage
varDataAccess(x, lower.bound, upper.bound)
Arguments
x |
Dataset whose variance is desired. |
lower.bound |
Scalar representing the global or public lower bound on values of x. |
upper.bound |
Scalar representing the global or public upper bound on values of x. |
Value
List of the true variance and the sensitivity calculated based on theoretical values.
References
Liu F (2019). “Statistical Properties of Sanitized Results from Differentially Private Laplace Mechanism with Univariate Bounding Constraints.” Transactions on Data Privacy, 12(3), 169-195. http://www.tdp.cat/issues16/tdp.a316a18.pdf.
Kifer D, Machanavajjhala A (2011). “No Free Lunch in Data Privacy.” In Proceedings of the 2011 ACM SIGMOD International Conference on Management of Data, SIGMOD '11, 193–204. ISBN 9781450306614, doi:10.1145/1989323.1989345.
Examples
varDataAccess(c(1,4,3,2), 0, 5)