ISSN:
1572-9052
Keywords:
Inverse Gaussian distribution
;
Weibull distribution
;
mixture
;
failure rate
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Motivated by the idea that different causes of failure of a given system could lead to different failure distributions, a mixture of two-component distributions, one of which is the two-parameter Inverse Gaussian (IG) and the other the two-parameter Weibull (W), is proposed as a failure model. The IG-W mixture model convers several types of failure rates (FR's). It is shown that depending on the parameter values, the IG-W mixture model is capable of covering six different combinations of FR's, as one of the components has an upsidedown bathtub failure rate (UBTFR) or increasing failure rate (IFR) and the other component has a decreasing failure rate (DFR), constant failure rate (CFR), or IFR. A study is made for the mixed FR based on these six combinations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00050672
Permalink