Displaying similar documents to “On monotone dependence functions of the quantile type”

Halfway to a solution of X 2 - D Y 2 = - 3

R. A. Mollin, A. J. Van der Poorten, H. C. Williams (1994)

Journal de théorie des nombres de Bordeaux

Similarity:

It is well known that the continued fraction expansion of D readily displays the midpoint of the principal cycle of ideals, that is, the point halfway to a solution of x 2 - D y 2 = ± 1 . Here we notice that, analogously, the point halfway to a solution of x 2 - D y 2 = - 3 can be recognised. We explain what is going on.

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

Saralees Nadarajah (2005)

Kybernetika

Similarity:

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.