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10 weibull destribution (2) - Preliminary presentation for...

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MFG5350 1 October 13, 2008 (Monday) Preliminary presentation for project
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MFG5350 2 October 20, 2008 (Monday) Mid-term exam
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MFG5350 3 The Weibull Distribution Increasing and Decreasing Failure Rates
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MFG5350 4 The Bathtub Curve
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MFG5350 5 Time Dependent Failure Mode 0 a with , t a = (t) b 0 t ; 0 > 0, > ; t = (t) 1 - rewrite as: where is the shape parameter and is the characteristic life
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MFG5350 6 Reliability Function t dt t - e e = R(t) 1 t 0 ' .368 = e = e = ) R( 1 - - note that:
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MFG5350 7 e t = dt dR(t) - = f(t) t - 1 - The Probability Density Function (PDF) -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 t f(t) 0.5 1.5 2.0 4.0 Beta Theta = 2 : the shape parameter.
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