Title :
Sharp Bounds for Lifetime Variances of Reliability Systems With Exchangeable Components
Author :
Miziula, Patryk ; Rychlik, Tomasz
Author_Institution :
Fac. of Math. & Comput. Sci., Nicolaus Copernicus Univ., Torun, Poland
Abstract :
We consider coherent and mixed systems with exchangeable components whose lifetimes have positive and finite variances. We present sharp lower and upper bounds on the variance of the system lifetime, expressed in terms of the system signature and the variance of a single component. The bounds are attained for the power and Pareto distributions of the component lifetimes.
Keywords :
Pareto distribution; reliability theory; Pareto distribution; component lifetime; exchangeable components; lifetime variance; power distribution; reliability systems; sharp lower bound; sharp upper bound; Distribution functions; Indexes; Joints; Reliability theory; Upper bound; Vectors; Coherent system; Samaniego signature; exchangeable random variables; mixed system; sharp variance bounds;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2014.2336413
