Sathe (1977) improved upon the bounds of Mikulski and Smith (1976) for the variance of inverse binomial estimator. We have obtained still better upper bounds. The betterment is numerically illustrated.
@article{urn:eudml:doc:40672, title = {Sharper variance upper bound for unbiased estimation in inverse sampling.}, journal = {Trabajos de Estad\'\i stica e Investigaci\'on Operativa}, volume = {33}, year = {1982}, pages = {130-132}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40672} }
Prasad, Govind. Sharper variance upper bound for unbiased estimation in inverse sampling.. Trabajos de Estadística e Investigación Operativa, Tome 33 (1982) pp. 130-132. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40672/