Estimation with truncated inverse binomial sampling

Abstract

Consider truncated samples taken from an infinite population with a fixed uumber n of observations recorded. A randon number X of items must be sampled in order to observe after trunca-tion. adified maximun liicel.ihooa estimators of X (assumed un-'mown) and of the population parameters are develo~cd, and a computing scheme is given for the exponential distribution. On the basis of asymptotu ,operties, some estimators are singled out and compared with the usual maximum likelihood estimators.

Keywords:

• sample size estimation
• asymptotic bias
• maximum likelihood estimation
• modified maximum likelihood
• stochastic expansions