Geodesic
Oblique plans for a binomial process
Mathematica Applicanda, Tome 4 (1976) no. 6, pp. 41-47.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The following random walk (Xt, t=0,1,2,⋯) in the set T= {(x,y):x,y are nonnegative integers} is considered: X0=(0,0), Prob{Xt+1=(x+1,y)|Xt=(x,y)}==1-Prob{Xt+1=(x,y+1)|Xt=p(x,y)}, p∈(0,1) being unknown. For a given B⊂T, define the stopping variable τ=min{t>0:Xt∈B}. A sequential procedure of estimation of a parameter Q=g(p) by a function f(Xτ,τ) is said to be an oblique plan if B is of the form {(x,y):y=(x-k)/s}, where k and s are positive integers. Some properties of estimates in oblique plans are discussed. .
DOI : 10.14708/ma.v4i6.1174
Classification : 62K12 
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R. Magiera; S. Trybuła. Oblique plans for a binomial process. Mathematica Applicanda, Tome 4 (1976) no. 6, pp.  41-47. doi : 10.14708/ma.v4i6.1174. http://geodesic.mathdoc.fr/articles/10.14708/ma.v4i6.1174/

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