Exact Adaptive Confidence Intervals for Small Areas

Exact Confidence Intervals

Exact short Poisson confidence intervals

The authors propose a new method for constructing a confidence interval for the expectation θ of a Poisson random variable. The interval they obtain cannot be shortened without the infimum over θ of the coverage probability falling below 1 − α. In addition, the endpoints of the interval are strictly increasing functions of the observed variable. An easy-to-program algorithm is provided for comp...

Exact maximum coverage probabilities of confidence intervals with increasing bounds for Poisson distribution mean

 ‎A Poisson distribution is well used as a standard model for analyzing count data‎. ‎So the Poisson distribution parameter estimation is widely applied in practice‎. ‎Providing accurate confidence intervals for the discrete distribution parameters is very difficult‎. ‎So far‎, ‎many asymptotic confidence intervals for the mean of Poisson distribution is provided‎. ‎It is known that the coverag...

Area specific confidence intervals for a small area mean under the Fay-Herriot model

‎Small area estimates have received much attention from both private and public sectors due to the growing demand for effective planning of health services‎, ‎apportioning of government funds and policy and decision making‎. ‎Surveys are generally designed to give representative estimates at national or district level‎, ‎but estimates of variables of interest are oft...

(traditional) Exact Confidence Intervals for the Binomial Distribution

We describe the traditional form of exact confidence intervals for the binomial distribution.