DocumentCode :
811176
Title :
On the hazard rate of the lognormal distribution
Author :
Sweet, Arnold L.
Author_Institution :
Sch. of Ind. Eng., Purdue Univ., West Lafayette, IN, USA
Volume :
39
Issue :
3
fYear :
1990
fDate :
8/1/1990 12:00:00 AM
Firstpage :
325
Lastpage :
328
Abstract :
It is argued that plots of the hazard rate for the lognormal random variable which have appeared in some recent literature are incorrect and/or misleading; the hazard rate always begins at zero, rises to a maximum, then decreases very slowly to zero. An equation for the location of the maximum of the hazard rate is derived. The maximum lies in a finite interval for all positive values of the standard deviation of the associated normal random variable. Approximations that can be used to compute the hazard rate for parameter values outside of the usual range in the tables associated with the normal (Gaussian) random variable are presented
Keywords :
failure analysis; reliability theory; statistical analysis; failure rate; hazard rate; lognormal distribution; random variable; reliability; Books; Equations; Hazards; Log-normal distribution; Random variables; Reliability theory; Shape;
fLanguage :
English
Journal_Title :
Reliability, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9529
Type :
jour
DOI :
10.1109/24.103012
Filename :
103012
Link To Document :
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