Trabajos de Estadistica

, Volume 9, Issue 3, pp 183–202 | Cite as

La adicion de vectores aleatorios isotropos en un espacio deN dimensiones

  • Dario Maravall Casesnoves


A density function is called isotropic distribution when its density function has spheric simetry. First an isotropic distribution on the two dimensional euclidean space is studied. Lerr be the distance from a point in the plane to the origin of coordinates andx one of its coordinates. Then the density function of the marginal distribution ofr is founded, assuming that the marginal distribution ofx is known. The results are generalized to the n-dimensional euclidean space The case of being the marginal distribution of a variablexi a normal one is studied. Then it is proved that then coordinatesx1,x2, ...,xn are normal and independient Some more properties are also proved. Some cases of addition of isotropic vectors are considered.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Blanc-Lapierre et fortet: «Théorie des Fonctions aléatoires»,. Edit Masson.Google Scholar
  2. Levy: «Mouvement Brownien et Processus Stochastiques», Edit Gauthier-Villars.Google Scholar
  3. Levy: «Le Mouvement Brownien», Edit Gauthier-Villars.Google Scholar
  4. Doob: «Stochastic Processes», Edit Wiley.Google Scholar
  5. Bush-Mosteller: «Stochastic Models for Learning», Edit Wiley.Google Scholar
  6. D. Maravall: «La evolución de las frecuencias de genes mendelianos alelomorfos en una población en panmixia, sin selección ni mutación», B. de la As. de Ing. Agr., núm. 60.Google Scholar
  7. D. Maravall: «La medida del contagio en Física y Biología», Rev. Mat. Hisp.-Amer., T. XVI, núm. 3–4 y 5–6.Google Scholar
  8. D. Maravall: «La Adición de Variables aleatorias en número aleatorio», Rev Mat. Hisp.-Amer. T. XVIII.Google Scholar
  9. D. Maravall: «Nuevos modelos de distribuciones y de procesos estocásticos», Rev. R. Acad. de Ciencias, T. LII.Google Scholar

Copyright information

© Springer 1958

Authors and Affiliations

  • Dario Maravall Casesnoves

There are no affiliations available

Personalised recommendations