DocumentCode
1013997
Title
Graphical representation of two mixed-Weibull distributions
Author
Jiang, Siyuan ; Kececioglu, Dimitri
Author_Institution
Ford Motor Co., Dearborn, MI, USA
Volume
41
Issue
2
fYear
1992
fDate
6/1/1992 12:00:00 AM
Firstpage
241
Lastpage
247
Abstract
A variety of shapes of two-Weibull mixtures on Weibull probability paper are explored and classified into six types of Cdf curves (A-F). Types B-D represent Cdf´s composed of two well-mixed subpopulations. Type F represents the Cdf composed of two very well-separated subpopulations. Types A and E are in between types B-D and type F. The Kao-Cran graphical parameter estimation method cannot be applied to type A-C, E, and F curves. It is recommended that it not be applied to the type D curve. The theoretical basis is developed for the Jensen-Petersen graphical method for mixtures with well-separated subpopulations, viz, the type F curve. For type A and E curves, the method can be applied. However, for type B-D curves, there is no theoretical basis for the method
Keywords
parameter estimation; probability; reliability theory; statistical analysis; Cdf curves; Jensen-Petersen graphical method; Weibull probability paper; cumulative distribution function; graphical representation; mixed-Weibull distributions; parameter estimation; reliability; well-mixed subpopulations; well-separated subpopulations; Data analysis; Parameter estimation; Probability; Shape; Statistical analysis; Statistical distributions; Weibull distribution;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.257789
Filename
257789
Link To Document