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MEGN 537 – Probabilistic Biomechanics Ch.3 – Quantifying Uncertainty

MEGN 537 – Probabilistic Biomechanics Ch.3 – Quantifying Uncertainty. Anthony J Petrella, PhD. Uncertainty Descriptors Continuous Forms. is PDF is CDF. Uncertainty Descriptors Continuous Forms. First moment Second central moment Third central moment.

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MEGN 537 – Probabilistic Biomechanics Ch.3 – Quantifying Uncertainty

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  1. MEGN 537 – Probabilistic BiomechanicsCh.3 – Quantifying Uncertainty Anthony J Petrella, PhD

  2. Uncertainty DescriptorsContinuous Forms • is PDF • is CDF

  3. Uncertainty DescriptorsContinuous Forms • First moment • Second central moment • Third central moment

  4. Uncertainty DescriptorsDiscrete Forms

  5. Multiple Random Variables • Recall, from set theory…P(XY) = P(X|Y)P(Y) = P(Y|X)P(X) • Using PDF notation we can also write…

  6. Discrete Random Variables • PMF is • CDF:

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