具有广义Gumbel分布的两部件系统故障率的某些性质

(集美大学理学院,福建 厦门 361021)

故障率; IFR; 相依; 串联系统; 并联系统

Some Hazard Rate Properties on Systems with Two Components Following Generalized Gumbel Distribution
CAI Nanlian*,CHEN Hao

(School of Sciences,Jimei University,Xiamen 361021,China)

hazard rate function; increasing failure rate(IFR); dependence; parallel system; series system

DOI: 10.6043/j.issn.0438-0479.201703040

备注

考虑具有广义二维Gumbel分布、同边际的两部件组成的串联系统和并联系统,研究了并联系统和串联系统的故障率的单调性质并得到它们的界; 找出了串联系统的故障率函数具有倒浴盆曲线(浴盆曲线)的充分条件; 证明了当部件是IFR(increasing failure rate)时,并联系统也是IFR.这些结果部分推广了Joo 等的相应结论.

We consider systems with two components following a generalized Gumbel joint distribution and a same marginal distribution.We study the monotony of their hazard rate functions and gain the bounds of them.A sufficient condition of hazard rate function on series system which has an upside-down bathtub shape(a bathtub shape)is found.It is shown that when component is increasing failure rate(IFR),so is parallel system.These results partially generalized some conclusions on Joo and Mi.