Journal of Inequalities and Applications
Volume 5 (2000), Issue 5, Pages 447-466
doi:10.1155/S1025583400000254
Abstract
In this note, inequalities for length biased and the original residual life function and equilibrium distribution function with monotone hazard rate and mean residual life functions are derived. We also obtain estimates of the length biased probability density function and hazard function under random censoring. Finally, the Bayesian exponential reliability estimate under length biased sampling using a conjugate prior for the scale parameter is given.