This is an example of a density which can have an extremely wide range of values. In 10 samples of 1000 from this density the maximum values were:
277150.1 | 5461690 | 3065065 | 408696.6 | 130378.8 |
510953.3 | 142911.3 | 22289502871 | 12736939 | 4845980 |
Unfortunately this wide range makes it difficult to obtain an estimate. For this reason the sample here is limited to a maximum value of 150 with the sample drawn from a parent sample large enough to give the desired sample size with values less than 150. Once this has been done the estimators all give acceptable results.