Title: Exact inference of point and interval estimation for Laplace distribution based on various censoring
Authors: Xiaojun Zhu - Xi'an Jiaotong-Liverpool University (China) [presenting]
Abstract: Some recent results of the exact inference of the Laplace distribution based on various censored samples will be presented. Under these censoring forms, it can be shown that the maximum likelihood estimators, best linear unbiased estimators as well as the predictive maximum likelihood estimators are all in the form of linear combinations of order statistics from Laplace distribution. Then, it is possible to construct the exact inference for these estimators and predictors. Using the same idea, the exact confidence intervals for the estimation of survival and cumulative hazard functions can be obtained.