Instead of leaving out one observation at a time, we leave out d observations. Therefore, the size of a delete-d jackknife sample is (n - d), and there are jackknife samples.
Let denote applied to the data set with subset s removed. The formula for the delete-d jackknife estimate of s.e. is
It can be shown that the delete-d jackknife is consistent for the median if and . Roughly speaking, it is preferrable to choose a d such that for the delete-d jackknife estimation of standard error.