Let population with continuous and symmetric c.d.f.
F(
X-θ) be classified into preassigned number
L of strata. Let Z
i1, Z
i2,...,Z
ini. be
ni independent observations from the
i-th stratum (
i=1∼
L). Let total sample size be
n=?
ni and assume
ni=
win (proportional allocation), where
wi(0<
wi<1) is known constant. Estimator
θ*=med(Z
iα+Z
jβ)/2, which is the median of the avarges (Z
iα+Z
jβ)/2 over all combinations (
i,j,α,β), (
n2) +
n in number, such that
i≤α≤β≤
ni if
i=
j and
i≤α≤
ni,1≤β≤
nj if 1≤
i≤
j≤
L, is proposed as an estimator of
θ.
View full abstract