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The distribution of product of two normally distributed variables come from the first part of the XX Century. First works about this issue were [1] and [2] showed that under certain conditions the product could be considered as a normally distributed.
A more recent approach is [3] that studied approximation to density function of the product using three methods: numerical integration, Monte Carlo simulation and analytical approximation to the result using the normal distribution....
Dans cet article, on traite un échantillon d'angles de droits et de revers de pièces de monnaies. On a cherché à en donner une description statistique correcte et à ajuster une loi théorique puis à construire un test d'homogénéité non paramétrique de deux échantillons distribués sur le cercle.
An example of a normal nonlinear continuous function of a normal random variable is given. Also the Cauchy case is considered.
We complement the recently introduced classes of lower and upper semilinear copulas by two new classes, called vertical and horizontal semilinear copulas, and characterize the corresponding class of diagonals. The new copulas are in essence asymmetric, with maximum asymmetry given by . The only symmetric members turn out to be also lower and upper semilinear copulas, namely convex sums of and .
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