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#### binomial distribution

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Book Chapter

By Steven W. Rust, Richard C. Rice
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009213
EISBN: 978-1-62708-176-4
...Abstract Abstract The six types of statistical distributions are normal distribution, log normal distribution, Weibull distribution, exponential distribution, binomial distribution, and Poisson distribution. This article discusses the applicability of each distribution, providing information...
Book Chapter

By Charles O. Smith
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002432
EISBN: 978-1-62708-194-8
... on the criterion for system success requiring successful functioning of only one of the n components in the system. In many systems, there will be a requirement for successful functioning of more than one of the n components. Reliability can be calculated using the binomial distribution. This assumes each...
Book Chapter

By Richard C. Rice
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002431
EISBN: 978-1-62708-194-8
...Abstract Abstract This article discusses some of the statistical aspects of design from an engineer's perspective. It reviews the commonly used statistical terms and distributions for providing some guidance on the practical engineering applications of these distributions. The article describes...
Book Chapter

By Barnie P. Jones
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003712
EISBN: 978-1-62708-182-5
... of the time and are not at all unusual. However, 0, 1, 9, or 10 heads are only expected in 2.2% of such experiments and should be regarded as unusual, if not suspicious. Fig. 1 Binomial distribution from a hypothetical coin-tossing experiment Also, note that the shape of the distribution in Fig...
Book Chapter

Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003088
EISBN: 978-1-62708-199-3
... and for discontinuities in the material. In the probabilistic approach, each design parameter is accorded a statistical distribution of values. From these distributions and from an allowable limit on probability of failure, minimum acceptable dimensions in critical areas (or minimum strength levels for critical...
Book Chapter

By Eric Lindgren, David Forsyth, John Aldrin, Floyd Spencer
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006463
EISBN: 978-1-62708-190-0
... greater than the rogue defect size. Because 100% POD is not likely at any size of crack, a lesser threshold had to be chosen. Binomial statistics were in use to calculate POD and confidence bounds. Using binomial statistics to demonstrate high POD numbers requires many tests. Twenty-nine successes out...
Book Chapter

By Harry R. Millwater, Jr., Paul H. Wirsching
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
...Abstract Abstract This article describes the historical background, uncertainties in structural parameters, classifications, and application areas of probabilistic analysis. It provides a discussion on the basic definition of random variables, some common distribution functions used...
Book Chapter

By John K. Taylor, Byron Kratochvil
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001727
EISBN: 978-1-62708-178-8
... and the system iterated to constant n. The expression applies if the sought-for component is distributed in the population in a positive binomial, or Gaussian, distribution, which is characterized by an average, μ, larger than the variance of the mean, σ s 2 . Values of σ s (and s s ) may...
Book Chapter

By Wolfgang-Werner Maennig
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002370
EISBN: 978-1-62708-193-1
... of binomial or hypergeometrical distributions (e.g., Ref 7 ). Thus advantage from establishing two levels near 50% probability is even more doubtful. Third, nobody needs values with 50% probability of fracture really. Finally, this strategy contains no rule to find the two levels. Staircase Method...
Book Chapter

By Charles P. Poole, Jr., Horatio A. Farach
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001750
EISBN: 978-1-62708-178-8
... on the applied magnetic field because it must have a homogeneity exceeding the linewidth. When several I = 1 2 nuclei are coupled equally, that is, have the same A i , the resultant absorption peaks exhibit an intensity ratio that follows the binomial coefficient distribution. The intensity...
Book Chapter

By S. Lampman, M. Mulherin, R. Shipley
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006764
EISBN: 978-1-62708-295-2
..., films, nonmetals, composites, assemblies Acoustic emission (AE) Multiple distributed sensors detect and triangulate AE stress-wave source in response to mechanical or thermal stress. Corrosion, stress-corrosion cracking, weld cracking, creep and fatigue cracking Sensitive to noise and vibration...
Book

Edited by Ruth E. Whan
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.9781627081788
EISBN: 978-1-62708-178-8