ABSTRACT
Recently,1212 GHITANY ME, ALQALLAF F, AL-MUTAIRI DK & HUSAIN HA. 2011. A two-parameter weighted Lindley distribution and its applications to survival data', Mathematics and Computers in Simulation, 81: 1190-1201. introduced a generalization of a one parameter Lindley distribution and named it as a weighted Lindley distribution. Considering this new introduced weighted Lindley distribution, we propose a reparametrization on the shape parameter leading it to be orthogonal to the other shape parameter. In this alternative parametrization, we get a direct interpretation for this transformed parameter which is the mean survival time. For illustrative purposes, the weighted Lindley distribution on the new parametrization is applied on two real data sets. The one parameter Lindley distribution and its generalized form are fitted for the considered data sets.
Keywords:
generalized Lindley distribution; Lindley distribution; orthogonal parameters; survival analysis; weighted Lindley distribution
