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MEGN 537 – Probabilistic Biomechanics Ch.4 – Common Probability Distributions Anthony J Petrella, PhD.

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Presentation on theme: "MEGN 537 – Probabilistic Biomechanics Ch.4 – Common Probability Distributions Anthony J Petrella, PhD."— Presentation transcript:

1 MEGN 537 – Probabilistic Biomechanics Ch.4 – Common Probability Distributions Anthony J Petrella, PhD

2 Continuous Data Normal Distribution - infinity to + infinity Lognormal Distribution 0 to + infinity

3 Bounded: where B( ,  ) is the “beta function” CDF X Beta Distribution X PDF Images: http://en.wikipedia.org/wiki/Beta_distribution

4 Truncated Normal PDF: whereis the PDF of the normal curve, and is the CDF of the normal curve Applicable for tolerance ranges on dimensions

5 PDF: Applicable for tolerance ranges on dimensions, temporal variations Uniform Distribution PDF L U CDF L U 1.0

6 Mean and COV Expressions for E(X) and COV(X) for different distributions


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