Abstract:

The interval estimation for the infinite population median was constructed by using the order statistics of the median ranked set sample, and the new estimator was shown to be distribution-free. In addition, it was proofed analytically the precision of the new interval estimator is higher than the interval estimator of the population median under ranked set sampling. Finally, a practical application was carried out for a real data set related to conifer trees.

Key words: interval estimation; ranked set sampling; median