Exponential approximations in the classes of life distributions

DOI10.1007/BF02006220zbMath0654.62083MaRDI QIDQ1108725

Kan Cheng, Zongfu He

Publication date: 1988

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

upper boundreliabilityIFRIMRLNBUEHNBUEexponential approximationsapproximation of life distributions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability and life testing (62N05) Statistical distribution theory (62E99)

Related Items

Some bounds in the class of \(\mathfrak L\)-distributions, Proximity between life distributions and exponential distributions. I, A note on the exponential approximations fo IFR distributions, Reliability bounds on HNBUE life distributions with known first two moments, Bounds for the Distance Between the Distributions of Sums of Absolutely Continuous i.i.d. Convex-Ordered Random Variables with Applications, Classes of ``aging distributions, Reliability bounds for NBUE and NWUE distributions

Cites Work

• Exponential approximations for two classes of aging distributions
• Period, index and potential \(\text Ш\)
• Approximating IMRL distributions by exponential distributions, with applications to first passage times