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An Approach to Distribution of the Product of Two Normal Variables

Antonio Seijas-Macías, Amílcar Oliveira (2012)

Discussiones Mathematicae Probability and Statistics

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....

An approach to generating uniform distribution

D. Pantić, N. Bijedić (1984)

Matematički Vesnik

An Elementary Inequality Between the Probabilities of Events.

P. Erdös, J. Neveu, A. Renyi (1963)

Mathematica Scandinavica

Analytic and Asymptotic Properties of Non-Symmetric Linnik's Probability Densities.

M. Burak Erdogan (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Angles de droits et de revers. Distribution circulaire

C. Carcassonne (1974)

Mathématiques et Sciences Humaines

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.

Applications of an Inequality Involving Conditional Expectations.

S.K. Bhattacharya, G.S. Pandey (1982)

Metrika

Applications of monotonic dependence functions: descriptive aspects

Teresa Kowalczyk, A. Kowalski, A. Matuszewski, E. Pleszczyńska (1980)

Applicationes Mathematicae

Are continuous mappings preserving normality necessarily linear?

Jacek Wesołowski (1996)

Applicationes Mathematicae

An example of a normal nonlinear continuous function of a normal random variable is given. Also the Cauchy case is considered.

Arithmetizing continuous distributions: numerical aspects.

Vernic, Raluca (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Associativity in a Class of Operations on Spaces of Distribution Functions.

M.J. Frank (1975)

Aequationes mathematicae

Asymmetric semilinear copulas

Bernard De Baets, Hans De Meyer, Radko Mesiar (2007)

Kybernetika

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 $1 / 16$ . The only symmetric members turn out to be also lower and upper semilinear copulas, namely convex sums of $Π$ and $M$ .