Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on hybrid Type-I and Type-II Censored Data

In this chapter, we first derive explicit expressions for the Maximum likelihood estimators (MLEs) of the parameters of Laplace distribution-based on a hybrid Type-I censored sample (Type-I HCS). We then derive the conditional moment generating functions (MGF) of the MLEs, and then use them to obtain the means, variances, and covariance of the MLEs. From the conditional MGFs, we also derive the exact conditional distributions of the MLEs, which …