id author title date pages extension mime words sentence flesch summary cache txt 02870v86716 Bingyue Su Methods and Applications of Differential Privacy in Statistical Problems 2023 .txt text/plain 332 12 29 Firstly, I investigate the utility of differentially private hypothesis testing, developing new methods and providing results for commonly used tests such as z-test, t-test, and chi-squared test in the settings of one-sample mean tests, two-sample tests, variance tests, goodness-of-fit tests, and independence tests and evaluate the utility of the tests in terms of statistical power while maitaining Type-I error rate. In the era of big data, ensuring data privacy during statistical analysis has become increasingly important, necessitating a rigorous definition of privacy. cache/02870v86716.txt txt/02870v86716.txt