Oblique plans for a binomial process

R. Magiera, and S. Trybuła. "Oblique plans for a binomial process." Mathematica Applicanda 4.6 (1976): null. <http://eudml.org/doc/293014>.

@article{R1976,
abstract = {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. .},
author = {R. Magiera, S. Trybuła},
journal = {Mathematica Applicanda},
keywords = {},
language = {eng},
number = {6},
pages = {null},
title = {Oblique plans for a binomial process},
url = {http://eudml.org/doc/293014},
volume = {4},
year = {1976},
}

TY - JOUR
AU - R. Magiera
AU - S. Trybuła
TI - Oblique plans for a binomial process
JO - Mathematica Applicanda
PY - 1976
VL - 4
IS - 6
SP - null
AB - 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. .
LA - eng
KW -
UR - http://eudml.org/doc/293014
ER -