Fisher Information for a partially observable simple birth process.

In this paper, we study the Fisher Information for the birth rate of a partially observable simple birth process involvingnobservations. We suppose that at each observation time, each individual in the population can be observed independently with known fixed probabilityp. Finding an analytical form of the Fisher Information in general appears intractable. Nonetheless, we find a very good approximation for the Fisher Information by exploiting the probabilistic properties of the underlying stochastic process. Both numerical and theoretical results strongly support the latter approximation and confirm its high level of accuracy. [ABSTRACT FROM PUBLISHER]