ABSTRACT
In this chapter, the authors consider identifiability problems when the underlying distributions follow the exponential distributions and discusses the identifiability concepts. They consider inference problems for independent exponential distributions and mention Bayesian approach. Basu and Ghosh have considered the identifiability of a number of bivariate families of exponential distributions useful as models in life testing. These include the bivariate exponential distributions of Marshall and Olkin, Block and Basu, and Gumbel. For the Block-Basu and the Freund distribution, the parameters are not at all identifiable even when the identified minimum is available. Klein and Basu have considered more general results for the exponential distribution when accelerated testing is considered.
