The Weibull Analysis Handbook

Front Cover
ASQ Quality Press, 2006 - Business & Economics - 167 pages
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"Practitioners will find easy-to-follow road maps guiding them through every step of an analysis. ...the majority of road maps have been incorporated into a computer program on the accompanying CD-ROM (Windows 95 or later)." --Cover.
 

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Contents

INTRODUCTION
1-1
WEIBULL DISTRIBUTION FUNCTIONS
1-6
WEIBULL DISTRIBUTION CHARACTERISTICS
11
WEIBULL RELATIONSHIP TO THE EXTREME VALUE DISTRIBUTION
14
THE BATHTUB CURVE
15
SUMMARY
16
PARAMETER ESTIMATION
17
PROBABILITY PLOTTING
19
Data Errors
100
Multiple Failure Modes
102
Interpreting Probability and Hazard Plots
108
MANNSCHEUERFERTIG TEST
113
ANDERSONDARLING TEST
115
SUMMARY
118
Reliability Verification Testing and Bayesian Estimation
119
BAYESIAN TESTING STATISTICS
120

Complete Data
22
SinglyCensored Data
25
MultiplyCensored Data
27
Grouped Data
32
The Nonzero Location Parameter
35
HAZARD PLOTTING
39
MAXIMUM LIKELIHOOD ESTIMATION
42
LINEAR ESTIMATORS
52
MODIFIED MOMENT ESTIMATORS
56
COMPARISON OF ESTIMATION METHODS
59
BEWARE OF THE NONZERO LOCATION PARAMETER
66
CONFIDENCE INTERVALS
67
The Method of Maximum Likelihood
68
Linear Estimation
73
CONFIDENCE INTERVALS FOR THE SCALE PARAMETER
74
The Method of Maximum Likelihood
75
Linear Estimation
76
CONFIDENCE INTERVALS FOR THE LOCATION PARAMETER
77
CONFIDENCE INTERVALS FOR RELIABILITY
83
The Method of Maximum Likelihood
87
CONFIDENCE INTERVALS FOR PERCENTILES
91
SUMMARY
93
GOODNESSOFFIT
95
GRAPHICAL GOODNESSOFFIT
96
Negative Location Parameter
99
EFFECTS OF THE SHAPE PARAMETER ON TEST DURATION
122
OPTIMUM RELIABILITY VERIFICATION PLANS
127
LIMITATIONS
128
USING THE SOFTWARE
131
SOFTWARE BASICS
132
Menu Items
133
Individual Data
134
Grouped Data
136
Connect to Database
137
Field Data
138
Maximum Likelihood
139
Modified Moment
140
Probability Plotting
141
Hazard Plotting
142
Bayesian Estimation
144
Predictions
146
Graph Control
147
Report Writer
148
SUMMARY
149
Gamma Function
151
Least Squares Regression
153
References
157
Index
163
Copyright

Common terms and phrases

Popular passages

Page 157 - Labuza TP. 2001. Application of Weibull Hazard Analysis to the shelf life of roasted and ground coffee.
Page 158 - Y. (1984), Modified moment estimation for the three- parameter Weibull distribution, Journal of Quality Technoloyy, 16, 159167.

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