Pareto Density

Figure:Pareto density.

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.

danny 2009-07-23