Chapter 3 Inference for Type-II, Type-I, and progressive censoring

In this chapter, some known estimation methods, such as best linear unbiased estimation, best linear invariant estimation, maximum likelihood estimation, approximate maximum likelihood estimation and Bayesian estimation, for Type-II censored data are described first. Then, exact conditional maximum likelihood estimation method for Type-I censored data is detailed. Extensions of these methods and results to the cases of progressively Type-II censored and progressively Type-I censored samples are then described. The exponential, Weibull, half logistic, extreme value and Laplace distributions are all used, in the analysis of some known life-test data, to illustrate the theoretical results presented here.