Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection

A. F. Gualtierotti

Annales de l'I.H.P. Probabilités et statistiques (1977)

  • Volume: 13, Issue: 4, page 333-356
  • ISSN: 0246-0203

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Gualtierotti, A. F.. "Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection." Annales de l'I.H.P. Probabilités et statistiques 13.4 (1977): 333-356. <http://eudml.org/doc/77072>.

@article{Gualtierotti1977,
author = {Gualtierotti, A. F.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {4},
pages = {333-356},
publisher = {Gauthier-Villars},
title = {Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection},
url = {http://eudml.org/doc/77072},
volume = {13},
year = {1977},
}

TY - JOUR
AU - Gualtierotti, A. F.
TI - Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1977
PB - Gauthier-Villars
VL - 13
IS - 4
SP - 333
EP - 356
LA - eng
UR - http://eudml.org/doc/77072
ER -

References

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  9. [9 a] A.F. Gualtierotti, Extension of Gaussian cylinder set measures. J. Math. Anal. Applic., vol. 57, 1977, p. 12-19. Zbl0351.62006MR433573
  10. [9 b] On the robustness of Gaussian detection. J. Math. Anal. Applic., vol. 57, 1977, p. 20-26. Zbl0351.62007MR433580
  11. [9 c] A time-perturbation of Gaussian stochastic processes and some applications to the theory of signal detection. Submitted for publication. 
  12. [10] O. Hans, Inverse and adjoint transforms of linear bounded random transforms. Trans. First Prague Conference on Information Theory, Prague, 1957. Zbl0087.33103MR100908
  13. [11] E. Hille and R.S. Phillips, Functional analysis and semi-groups. Amer. Math. Soc., Providence, R. I., 1957. Zbl0078.10004MR89373
  14. [12] G. Kallianpur, Abstract Wiener processes and their reproducing kernel Hilbert spaces. Wahrscheinlichkeitstheorie verw. Geb., vol. 17, 1971, p. 113-123. Zbl0194.49003MR281242
  15. [13] H.H. Kuo, Gaussian measures in Banach spaces. Lecture Notes in Math. 463, Springer Verlag, Berlin, Heidelberg, New York, 1975. Zbl0306.28010MR461643
  16. [14] A.V. Skorohod, Integration in Hilbert space, Springer Verlag, Berlin, Heidelberg, New York, 1974. Zbl0307.28010MR466482

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