Some Pitman closeness properties pertinent to symmetric populations

On Pitman Closeness of Pitman Estimators

Pitman estimators of location are unbiased, translation-equivariant and possess some optimality properties under quadratic loss. Similar optimality properties of Pitman estimators are studied with respect to the measure of Pitman closeness of estimators.

The Stein Paradox in the Pitman Closeness

Pitman Closeness of Order Statistics to Population Quantiles

In this paper, Pitman closeness of sample order statistics to population quantiles of a locationscale family of distributions is discussed. Explicit expressions are derived for some specific families such as uniform, exponential and power function. Numerical results are then presented for these families for sample sizes n = 10, 15, and for the choices of p = 0.10, 0.25, 0.75, 0.90. The Pitman-c...

Using Pitman Closeness to Compare Stock Return Models

This paper provides an alternate method of evaluating portfolio performance of stock pricing models. We apply Pitman Closeness Criterion to compare the accuracy of three popular pricing models. This comparison is used to assess which, if any, model outperforms the others. In assessing model performance over a long period of time, we find that the Fama-French three-factor model and the Carhart f...

Sewage sludge to landfill: some pertinent engineering properties.

More stringent controls on the quality of wastewater discharges have given rise to increasing volumes of sewage sludge for disposal, principally to land, using either land-spreading or sludge-to-landfill operations. Current sludge-to-landfill methods generally involve mixing the concentrated sludge with other solid waste in municipal landfills. However, stricter waste disposal legislation and h...