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probability
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Book Chapter
Book: Systems Failure Analysis
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.tb.sfa.t52780157
EISBN: 978-1-62708-268-6
... Abstract Failure analysis can sometimes involve considerations of statistics and probability. This chapter reviews some of the basic types of statistical distributions in order to understand some basic principles in their use. The main focus is on the uses of the normal distribution, which...
Abstract
Failure analysis can sometimes involve considerations of statistics and probability. This chapter reviews some of the basic types of statistical distributions in order to understand some basic principles in their use. The main focus is on the uses of the normal distribution, which is the most commonly used statistical distribution. The chapter also includes a section discussing the reliability and probability of passing.
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Published: 01 March 2006
Fig. 5 Normal probability plot of data from Fig. 4 . (a) Frequency distribution. (b) Distribution analysis sheet. Specification, mean = 35 HRC; range = 7 HRC. Results, mean = 35.7 HRC, 6σ = 5.5 HRC. Action, adjust temper to adjust mean to 35 HRC. Source: Ref 1
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in Evaluation of Stress-Corrosion Cracking[1]
> Stress-Corrosion Cracking: Materials Performance and Evaluation
Published: 01 January 2017
Fig. 17.45 Effect of variations in atmospheric environment on the probability and time to failure by SCC of a material with an intermediate susceptibility. Tests were made on short-transverse 3.2 mm (0.125 in.) diam tension specimens from 7075-T7651 type plate stressed 310 MPa (45 ksi
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Published: 01 December 2009
Fig. 7.1 Command event above an OR gate. The probability of occurrence of A is equal to the probability of B plus the probability of C, minus the probability of B times the probability of C.
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Published: 01 December 2009
Fig. 7.2 Command event above an OR gate with three inputs. The probability of occurrence of A is given by the formula in the text.
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Published: 01 December 2009
Fig. 7.3 Command event above an AND gate. The probability of occurrence of A is the product of the probabilities of B and C.
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Published: 01 December 2009
Fig. 16.1 Probability ( P ) of occurrence of x number of substandard parts when sampling five parts ( n = 5) from a large population containing p % defective parts. Lines do not imply a continuous function.
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Published: 01 December 2009
Fig. 16.5 Probability of passing versus product reliability. To have zero failures in a test with 32 samples, the product reliability must be extremely high. As the reliability decreases below 100%, the probability of passing falls quickly.
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in Reliability and Quality Basics for Failure Analysts[1]
> Microelectronics Failure Analysis: Desk Reference
Published: 01 November 2019
Figure 7 Weibull Distribution Probability Density Function.
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in LADA and SDL: Powerful Techniques for Marginal Failures
> Microelectronics Failure Analysis: Desk Reference
Published: 01 November 2019
Figure 7 When biased at the shmoo boundary, the DUT has a 50% probability of failure due to the gaussian jitter.
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in Cold Spray Applications in Repair and Refurbishment for the Aerospace, Oil and Gas, and Power-Generation Industries
> High Pressure Cold Spray: Principles and Applications
Published: 01 June 2016
Fig. 11.20 (a) Probability of current vs. repair risk. (b) Estimated total repair risk. (c) Risk vs. reward based on the risk analysis. Source: Ref 11.14
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Published: 01 March 2006
Fig. A.59 Probability of failure as a function of stress amplitude for a failure to occur before a specified number of cycles
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Published: 01 August 1999
Fig. 18 Effect of variations in atmospheric environment on the probability and time to failure by SCC of a material with an intermediate susceptibility. Tests were made on short-transverse 3.2 mm (0.125 in.) diameter tension specimens from 7075-1765 1 type plate stressed 310 MPa (45 ksi
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Published: 01 November 2012
Fig. 8 Probability of crack detection in one inspection. (a) Basic curve. (b) Effect of accessibility, and specificity, or other difficulty factor. Source: Ref 1
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Published: 01 November 2012
Fig. 9 Inspection intervals based on H /2. (a) Probability of detection for two inspection methods. (b) Inspection times on crack growth curve. Source: Ref 1
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Published: 01 November 2012
Fig. 10 Cumulative probability of crack detection as a function of the length of the inspection interval. (a) Case 1 of Fig. 11 . (b) Case 2 of Fig. 11 . Source: Ref 1
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Published: 01 December 1984
Figure 6-20 Logarithmic-probability plot of corrected grain size data by the Saltykov area method.
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Published: 01 December 1995
Fig. 6-47 Schematic diagrams of probability of occurrence of applied stress and material yield strength
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Published: 01 September 2005
Fig. 7 Probability of wear distress as a function of specific film thickness and pitch line velocity (in ft/min). Source: Ref 18
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Published: 01 December 2009
Fig. 16.4 Using normal curves to predict probabilities. The standard deviation concept can be used to predict the likelihood of values being greater or less than selected points on the normal curve. This curve has a mean of 50 Ω and a standard deviation of 3 Ω.
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