Inthis paper,we define partial moments for a univariate continuous random
variable. A recurrence relationship for the Pearson curve using the partial moments is
established. The interrelationship between the partial moments and other reliability
measures such as failure rate, mean residual life function are proved. We also prove
some characterization theorems using the partial moments in the context of length
biased models and equilibrium distributions
Description:
METRON - International Journal of Statistics
2004, vol. LXII, n. 3, pp. 353-362