TY - JFULL
AU - Sa-aat Niwitpong
PY - 2011/9/
TI - Coverage Probability of Confidence Intervals for the Normal Mean and Variance with Restricted Parameter Space
T2 - International Journal of Mathematical and Computational Sciences
SP - 1364
EP - 1370
VL - 5
SN - 1307-6892
UR - https://publications.waset.org/pdf/9082
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 56, 2011
N2 - Recent articles have addressed the problem to construct the confidence intervals for the mean of a normal distribution where the parameter space is restricted, see for example Wang [Confidence intervals for the mean of a normal distribution with restricted parameter space. Journal of Statistical Computation and Simulation, Vol. 78, No. 9, 2008, 829–841.], we derived, in this paper, analytic expressions of the coverage probability and the expected length of confidence interval for the normal mean when the whole parameter space is bounded. We also construct the confidence interval for the normal variance with restricted parameter for the first time and its coverage probability and expected length are also mathematically derived. As a result, one can use these criteria to assess the confidence interval for the normal mean and variance when the parameter space is restricted without the back up from simulation experiments.
ER -