Are continuous mappings preserving normality necessarily linear?

Jacek Wesołowski

Displaying similar documents to “Are continuous mappings preserving normality necessarily linear?”

Geometrical understanding of the Cauchy distribution.

Carles M. Cuadras (2002)

Qüestiió

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Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation on a circle, it is possible to present elementary and intuitive proofs of some important and useful properties of the distribution.

Comparison of the most typical probability distributions with respect to spread

Jaromír Antoch (1978)

Časopis pro pěstování matematiky

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On extended type I generalized logistic distribution.

Olapade, A.K. (2004)

International Journal of Mathematics and Mathematical Sciences

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The Cauchy problem for the system of partial differential equations describing nonsimple thermoelasticity

Henryk Kołakowski, Jarosław Łazuka (2008)

Applicationes Mathematicae

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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.

On the ratio of gamma and Rayleigh random variables

Saralees Nadarajah (2007)

Applicationes Mathematicae

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The gamma and Rayleigh distributions are two of the most applied distributions in engineering. Motivated by engineering issues, the exact distribution of the quotient X/Y is derived when X and Y are independent gamma and Rayleigh random variables. Tabulations of the associated percentage points and a computer program for generating them are also given.

A note on the Ecogen language built-in random deviate generators.

Jordi Ocaña, M.ª Carmen Ruiz de Villa, Guillem Alonso (1986)

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The standard ECOGEN (a simulation language based on Pascal) random deviate generators are described. For every one of them, a short usage note and a description of the algorithm and underlying theory is presented. This paper must be considered as an addenda to a previous one where the ECOGEN language was described. The ECOGEN random deviate generators include the continuous and discrete uniform, Poisson, binomial, exponential, Cauchy, normal or Laplace-Gauss, beta, gamma, Weibull, Pareto...