23 parametric approach 2 (2)

# 23 parametric approach 2 (2) - Homework 5 Due Nov 14(this...

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MFG5350 1 Homework 5 Due Nov 14 (this Friday) before 5PM

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MFG5350 2 Make-up Exam Nov 17 (next Monday) 7:30PM - 8:50PM No lecture
MFG5350 3 Final Presentation Nov 26 (Wednesday) & Dec 1 (Monday) Final Report Dec 12 (Friday) before 5PM

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MFG5350 4 Final Exam Dec 8 (Monday) 7:00PM-9:45PM
MFG5350 5 Part II: Analysis of Failure Data

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MFG5350 6 Parametric Approach Empirical Method To fit a theoretical distribution (exponential, Weibull, normal, and lognormal distributions) to failure data To derive directly from the failure data, the failure distribution, reliability function or hazard rate function Approaches to Fitting Reliability Distributions to Failure Data
MFG5350 7 To identify an appropriate theoretical approach Procedures of Parametric Approaches To estimate the parameters To perform a goodness-of-fit test

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MFG5350 8 Candidate Distribution Exponential Distribution Normal Distribution Lognormal Distribution Weibull Distribution
9 Probability Plots and Least- Squares Curve-Fitting Exponential Distribution Normal Distribution Lognormal Distribution Weibull Distribution Goal: To fit a linear line of y = a + bx to a set of transformed data. MFG5350

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MFG5350 10 Exponential Plots For exponential distribution: t e t F ) ( 1 t e t F t ] ln[ )] ( 1 ln[ y = a + bx The plot will be (t, F(t)) , a straight line passing the origin. ) ( 1 1 ln , i i t F t
MFG5350 11 Weibull Plots For Weibull distribution: ) / ( ) ( 1 t e t F y = a + bx The plot will be (t, F(t)), ,a straight line.

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MFG5350 12 Weibull Plots Parameters and 632 . 0 1 1 ) ( 1 ) / ( e e F ln ln ) ( 1 / 1 ln ln ˆ t t F
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