We propose new differential privacy solutions for when external invariants and integer constraints are simultaneously enforced on the data product. These requirements arise in real world applications of private curation, including public release 2020 U.S. Decennial Census. They pose a great challenge to production provably products with adequate statistical usability. subspace rigorously articu...

A classical method for partition generating function is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results partitions n n </mm...

Mutation testing is a technique for testing software units that has great potential for improving the quality of testing, and thereby increasing our ability to assure the high reliability of critical software. It will be shown that recent advances in mutation research have brought a practical mutation testing system closer to reality. One recent advance is a partial solution to the problem of a...

The classical integer valued first-order autoregressive (INA- R(1)) model has been defined on the basis of Poisson innovations. This model has Poisson marginal distribution and is suitable for modeling equidispersed count data. In this paper, we introduce an modification of the INAR(1) model with geometric innovations (INARG(1)) for model- ing overdispersed count data. We discuss some structu...