50 citations · 159 across the 51 of their papers we have counts for
12 papers · 1 filter
Inverse Sampling for Nonasymptotic Sequential Estimation of Bounded Variable Means
Xinjia Chen
In this paper, we consider the nonasymptotic sequential estimation of means of random variables bounded in between zero and one. We have rigorously demonstrated that, in order to g…
Exact Computation of Minimum Sample Size for Estimating Proportion of Finite Population
Xinjia Chen
In this paper, we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and…
Exact Computation of Minimum Sample Size for Estimation of Binomial Parameters
Xinjia Chen
It is a common contention that it is an ``impossible mission'' to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of err…
Risk Analysis in Robust Control -- Making the Case for Probabilistic Robust Control
Xinjia Chen, Jorge Aravena, Kemin Zhou
This paper offers a critical view of the "worst-case" approach that is the cornerstone of robust control design. It is our contention that a blind acceptance of worst-case scenario…
Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
In this paper, we derive an explicit formula for constructing the confidence interval of binomial parameter with guaranteed coverage probability. The formula overcomes the limitati…
Probabilistic Robustness Analysis -- Risks, Complexity and Algorithms
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
It is becoming increasingly apparent that probabilistic approaches can overcome conservatism and computational complexity of the classical worst-case deterministic framework and ma…