An asymptotic test for quantitative gene detection

Jean-Marc Azaïs; Christine Cierco-Ayrolles

Annales de l'I.H.P. Probabilités et statistiques (2002)

  • Volume: 38, Issue: 6, page 1087-1092
  • ISSN: 0246-0203

How to cite

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Azaïs, Jean-Marc, and Cierco-Ayrolles, Christine. "An asymptotic test for quantitative gene detection." Annales de l'I.H.P. Probabilités et statistiques 38.6 (2002): 1087-1092. <http://eudml.org/doc/77740>.

@article{Azaïs2002,
author = {Azaïs, Jean-Marc, Cierco-Ayrolles, Christine},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {genetic markers; Haldane mapping function; Ornstein-Uhlenbeck process; QTL; Rice formulae},
language = {eng},
number = {6},
pages = {1087-1092},
publisher = {Elsevier},
title = {An asymptotic test for quantitative gene detection},
url = {http://eudml.org/doc/77740},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Azaïs, Jean-Marc
AU - Cierco-Ayrolles, Christine
TI - An asymptotic test for quantitative gene detection
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2002
PB - Elsevier
VL - 38
IS - 6
SP - 1087
EP - 1092
LA - eng
KW - genetic markers; Haldane mapping function; Ornstein-Uhlenbeck process; QTL; Rice formulae
UR - http://eudml.org/doc/77740
ER -

References

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  1. [1] J.-M. Azaïs, C. Cierco-Ayrolles, An asymptotic test for quantitative gene detection, Prépublication du laboratoire de statistique et probabilités, 2002, http://www.lsp.ups-tlse.fr/Azais/publis.html. 
  2. [2] J.-M. Azaïs, M. Wschebor, The distribution of the maximum of a Gaussian process: Rice method revisited. In and out of equilibrium: probability with a physical flavour, in: Sidoravicius V. (Ed.), Progress in Probability, Birkhauser, 2002, pp. 321-348. Zbl1018.60036MR1901961
  3. [3] J.-M. Azaïs, C. Cierco-Ayrolles, A. Croquette, Bounds and asymptotic expansions for the distribution of the maximum of a smooth stationary Gaussian process, ESAIM: Probability and Statistics3 (1999) 107-129. Zbl0933.60032MR1716124
  4. [4] C. Cierco, Asymptotic distribution of the maximum likelihood ratio test for gene detection, Statistics31 (3) (1998) 261-285. Zbl0908.62012MR1718317
  5. [5] H. Cramér, M.R. Leadbetter, Stationary and Related Stochastic Processes, Wiley, New York, 1967. Zbl0162.21102MR217860
  6. [6] R.B. Davies, Hypothesis testing when a nuisance parameter is present only under the alternative, Biometrika64 (1977) 247-254. Zbl0362.62026MR501523
  7. [7] D.M. DeLong, Crossing probabilities for a square root boundary by a Bessel process, Communications in Statistics – Theory and MethodsA10 (1981) 2197-2213. Zbl0467.60070

Citations in EuDML Documents

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  1. Jean-Marc Azaïs, Jean-Marc Bardet, Mario Wschebor, On the tails of the distribution of the maximum of a smooth stationary gaussian process
  2. Jean-Marc Azaïs, Christine Cierco-Ayrolles, An asymptotic test for quantitative gene detection
  3. Jean-Marc Azaïs, Jean-Marc Bardet, Mario Wschebor, On the tails of the distribution of the maximum of a smooth stationary Gaussian process
  4. Charles-Elie Rabier, An asymptotic test for Quantitative Trait Locus detection in presence of missing genotypes

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