Estimation of finite population kurtosis under two-phase sampling for nonresponse

In this paper an estimator of finite population kurtosis computed under the two-phase sampling for nonresponse is proposed. The formulas characterizing its asymptotic properties are derived using Taylor linearization technique for the general situation of arbitrary sampling designs in both phases and stochastic nonresponse represented by arbitrary response distribution. An important special case of simple random sampling without replacement and deterministic nonresponse is also considered.