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Zbl 1011.62113
Aza\" is, Jean-Marc; Cierco-Ayrolles, Christine
An asymptotic test for quantitative gene detection. (Un test asymptotique pour la detection de gènes quantitatifs). (English)
[J] Ann. Inst. Henri Poincaré, Probab. Stat. 38, No.6, 1087-1092 (2002). ISSN 0246-0203

Summary: The problem of detecting the presence of a quantitative gene using a great number of markers in a backcross genetic scheme is addressed. An asymptotic test based on the maximum of a differentiable stochastic process is constructed. Bounds for threshold and power calculations are presented. Simulations and numerical experiments illustrate the convergence towards the asymptotic distribution and the sharpness of the bounds.

MSC 2000:: *62P10 Appl. of statistics to biology
92D10 Genetics
62F05 Asymptotic properties of parametric tests
60G15 Gaussian processes

Keywords: genetic markers; Haldane mapping function; Ornstein-Uhlenbeck process; QTL; Rice formulae

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