@article{eprints981, title = {Asymptotic results for a generalized P{\'o}lya urn with ?multi-updating? and applications to clinical trials}, year = {2008}, author = {Irene Crimaldi and Fabrizio Leisen}, journal = {Communications in statistics - theory and methods}, volume = {37}, number = {17}, pages = {2777--2794}, publisher = {Taylor \& Francis}, url = {http://eprints.imtlucca.it/981/}, abstract = {In this article, a new P{\'o}lya urn model is introduced and studied; in particular, a strong law of large numbers and two central limit theorems are proved. This urn generalizes a model studied in Berti et al. (2004), May et al. (2005), and in Crimaldi (2007), and it has natural applications in clinical trials. Indeed, the model includes both delayed and missing (or null) responses. Moreover, a connection with the conditional identity in distribution of Berti et al. (2004) is given.}, keywords = {Almost sure conditional convergence, Clinical trials, Conditionally identically distributed sequences, Stable convergence, Urn models} }