In this article, we deal with a dependent middle censoring with a censoring interval of fixed length, where the lifetime and lower bound of censoring interval are variables with a Marshall-Olkin bivariate exponential distribution. In this setup, we derive maximum likelihood estimates of the unknown parameters, using some iterative method. We also propose the Bayes estimates of the parameters under gamma priors and the squared error loss function. Finally, a Monte Carlo simulation is carried out to compare these estimators.
Davarzani, N., Parsian, A., & Peeters, R. (2015). Statistical Inference on Middle-Censored Data in a Dependent Setup. Journal of Statistical Theory and Practice, 9(3), 646-657. https://doi.org/10.1080/15598608.2014.978959