Pseudo-jackknife estimators for a hyperbinomial process

Abstract

The instability problem of both the maximum likelihood (MLE) and moment method (MME) estimators of the process-index of a hyperbinomial process (HBP) is reconsid-ered coherently with the phenomenical view justifying the choice of the model. Hence, some pseudo-jackknife and graduation procedures are indicated allowing one to attenu-ate instability effects due to both minor fluctuations in the right-tail of a frequency distribution and changes of dispersion type. An example is given in order to illustrate also how the use of the procedures suggested is helpful for making inferences about the process-trend and the process-index functions defining the HBP.