Hazard Rate of Lognormal Distribution: An Investigation
Volume 4, Number 2, April 2008 - Paper 1 - pp. 103 - 108
A. D. TELANG and V. MARIAPPANFaculty, Department of Mechanical Engineering, Government Engineering College, Farmagudi, Ponda-Goa- 403 401, India
(Received on March 27, 2007)
The behaviour of the hazard rate of the lognormal random variable, as has been reported in some recent publications, is quite misleading. This paper mainly attempts to put forth the true behaviour of the hazard rate of lognormal distribution, after carrying out analytical and numerical investigations. It has been shown, using method of calculus that the hazard rate is a unimodal function with convexity upwards. This typical behaviour is not acceptable in reliability engineering. The true behavior of the hazard rate has been numerically simulated in MATLAB, Version 7.0, with appropriate case studies. The findings of the investigation are discussed and conclusion drawn.
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