ABSTRACT

It may be of interest to know the properties of a strategy as the population and sample sizes increase. To investigate these properties we follow ISAKI and FULLER (1982) and consider a sequence of increasing populations

U1 ⊂ U2 ⊂ U3 ⊂ . . . of sizes N1 < N2 < . . . and a sequence of increasing sample sizes n1 < n2 < . . . . The units of UT are labeled

1, 2, . . . , NT

with values

Y1, Y2, . . . , Y NT of a variable y of interest and, possibly, with K vectors

x1, x2 , . . . , xNT defined by K auxiliary variables x1 , . . . , xK .