Confidence interval construction for the scale parameter of the half-logistic distribution is considered using four different methods. The first two are based on the asymptotic distribution of the maximum likelihood estimator (MLE) and log-transformed MLE. The last two are based on pivotal quantity and generalized pivotal quantity, respectively. The MLE for the scale parameter is obtained using the expectation-maximization (EM) algorithm. Performances are compared with the confidence intervals proposed by Balakrishnan and Asgharzadeh via coverage probabilities, length, and coverage-to-length ratio. Simulation results support the efficacy of the proposed approach.
Potdar, K. G. & Shirke, D. T. (2017). Confidence intervals for the scaled half-logistic distribution under progressive Type-II censoring. Journal of Modern Applied Statistical Methods, 16(1), 324-349. doi: 10.22237/jmasm/1493597880