A volume based approach to establish B-spline based expressions for density functions and its application to progressive hybrid censoring.

We propose an approach to determine the distribution of particular linear combinations of hybrid censored order statistics which is based on the calculation of volumes of polytopes. For this purpose, we establish efficient and compact volume formulas in terms of B-splines. Further, we illustrate our approach for ten different progressive hybrid censoring schemes under an exponential assumption. [ABSTRACT FROM AUTHOR]