Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$

Jong Uhn Kim

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Linear combination, product and ratio of normal and logistic random variables

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The distributions of linear combinations, products and ratios of random variables arise in many areas of engineering. In this note, the exact distributions of $α X + β Y$ , $| X Y |$ and $| X / Y |$ are derived when $X$ and $Y$ are independent normal and logistic random variables. The normal and logistic distributions have been two of the most popular models for measurement errors in engineering.