The objective of this paper is to introduce some recursive methods that can be used for estimating an $LD-50$ value. These methods can be used more generally for the estimation of the $\gamma$-quantile of an unknown distribution provided we have 0-1 observations at our disposal. Standard methods based on the Robbins-Monro procedure are introduced together with different approaches of Wu or Mukerjee. Several examples are also mentioned in order to demonstrate the usefulness of the methods presented.
@article{104502, author = {Pavel Charamza}, title = {Recursive estimates of quantile based on 0-1 observations}, journal = {Applications of Mathematics}, volume = {37}, year = {1992}, pages = {173-192}, zbl = {0764.62068}, mrnumber = {1157454}, language = {en}, url = {http://dml.mathdoc.fr/item/104502} }
Charamza, Pavel. Recursive estimates of quantile based on 0-1 observations. Applications of Mathematics, Tome 37 (1992) pp. 173-192. http://gdmltest.u-ga.fr/item/104502/
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