Une mesure d'information caractérisant la loi de Poisson

Iain M. Johnstone; Brenda Macgibbon

Séminaire de probabilités de Strasbourg (1987)

  • Volume: 21, page 563-573

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Johnstone, Iain M., and Macgibbon, Brenda. "Une mesure d'information caractérisant la loi de Poisson." Séminaire de probabilités de Strasbourg 21 (1987): 563-573. <http://eudml.org/doc/113615>.

@article{Johnstone1987,
author = {Johnstone, Iain M., Macgibbon, Brenda},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {information-theoretic proves of limit theorems; discrete analog of Fisher information measure; criterium for convergence of some discrete measures to the Poisson distribution},
language = {fre},
pages = {563-573},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Une mesure d'information caractérisant la loi de Poisson},
url = {http://eudml.org/doc/113615},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Johnstone, Iain M.
AU - Macgibbon, Brenda
TI - Une mesure d'information caractérisant la loi de Poisson
JO - Séminaire de probabilités de Strasbourg
PY - 1987
PB - Springer - Lecture Notes in Mathematics
VL - 21
SP - 563
EP - 573
LA - fre
KW - information-theoretic proves of limit theorems; discrete analog of Fisher information measure; criterium for convergence of some discrete measures to the Poisson distribution
UR - http://eudml.org/doc/113615
ER -

References

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  8. [ 8 ] Johnstone, I., Admissibility, difference equations and recurrence in estimating a Poisson mean, Ann. Statist.12, (1984), 1173-1198. Zbl0557.62006MR760682
  9. [ 9 ] Linnik, Y.V., An information-theoretic proof of the central limit theorem with the Lindeberg condition, Theory Probab. Applic.4 (1959), 288-299. Zbl0097.13103MR124081
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  13. [13] Parthasarathy, K.R., Introduction to Probability and Measure, Springer, New York, (1977). Zbl0395.28001MR651013
  14. [14] Rényi, A., On measures of entropy and information, Proc. Fourth Berkeley Symposium on Mathematical Statistics and Probability, University of California PressBerkeley, 1 (1961), 541-561. Zbl0106.33001MR132570
  15. [15] Schmidt, E., Über die Charlier-Jordansche Entwicklung einer willkürlichen funktion nach der Poissonschen funktion und ihren Ableitungen, Ztschr. f. angew. Math. und Mech.13 (1933), 139-142. Zbl0006.30301JFM59.0310.02
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  17. [17] Tanaka H., An inequality for a functional of probability distribution and its application to Kac's one-dimensional model of a Maxwellian gas, Z. Warsch. verw. Gebiete27 (1973), 47-52. Zbl0302.60005MR362442

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