Some new estimators of the binomial parameter
n
George Iliopoulos
On the basis of an observation from the binomial distribution ${\mathcal
B}(n,p)$ with known probability of success $p$, we construct two classes of
admissible estimators of the parameter $n\in\{1,2,\ldots\}$ when the loss
function is the squared error. The estimators are either proper Bayes or limits
of Bayes estimators.
Key words and phrases: binomial parameter $n$; Bayes estimators;
admissibility;