Mathematical Problems in Engineering
Inequalities, relations and stochastic orderings, as well as useful ageing notions for weighted distributions are established. Also presented are preservation and stability results and comparisons for weighted and length-biased distributions. Relations for length-biased and equilibrium distributions as examples of weighted distributions are also presented.
Oluyede, Broderick O., E. Olusegun George.
"On Stochastic Inequalities and Comparisons of Reliability Measures for Weighted Distributions."
Mathematical Problems in Engineering, 8 (1): 1-13.
doi: 10.1080/10241230211380 source: https://www.hindawi.com/journals/mpe/2002/824810/abs/