50 citations · 159 across the 51 of their papers we have counts for
26 papers · 1 filter
Probability Estimation with Truncated Inverse Binomial Sampling
Xinjia Chen
In this paper, we develop a general theory of truncated inverse binomial sampling. In this theory, the fixed-size sampling and inverse binomial sampling are accommodated as special…
Concentration Inequalities from Likelihood Ratio Method
Xinjia Chen
We explore the applications of our previously established likelihood-ratio method for deriving concentration inequalities for a wide variety of univariate and multivariate distribu…
Asymptotically Optimal Sequential Estimation of the Mean Based on Inclusion Principle
Xinjia Chen
A large class of problems in sciences and engineering can be formulated as the general problem of constructing random intervals with pre-specified coverage probabilities for the me…
Exact Methods for Multistage Estimation of a Binomial Proportion
Zhengjia Chen, Xinjia Chen
We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial…
Exact Sample Size Methods for Estimating Parameters of Discrete Distributions
Xinjia Chen, Zhengjia Chen
In this paper, we develop an approach for the exact determination of the minimum sample size for estimating the parameter of an integer-valued random variable, which is parameteriz…
Sequential Estimation Methods from Inclusion Principle
Xinjia Chen
In this paper, we propose new sequential estimation methods based on inclusion principle. The main idea is to reformulate the estimation problems as constructing sequential random…