On some mixture models based on the Birnbaum–Saunders distribution and associated inference

In this paper, we consider three different mixture models based on the Birnbaum–Saunders (BS) distribution, viz., (1) mixture of two different BS distributions, (2) mixture of a BS distribution and a length-biased version of another BS distribution, and (3) mixture of a BS distribution and its length-biased version. For all these models, we study their characteristics including the shape of their density and hazard rate functions. For the …