Interpenetrating subsampling of unequal samples and the estimator with distinct units

In this article Pathak's (1964) results on estimation of mean and variance for k-equal subsamples and Rao's (1975) result on the expectation of the reciprocal of the number of distinct units obtained from two unequal subsamples , for interpenetrating subsampling scheme, have been extended to the case of k-unequal subsamples.