The random sum distribution plays a key role in the application of statistics, in addition, it can be used with insurance program, biotechnology and applied medical science. The statistical significance of this distribution arises from its applicability in real life situations. Saddle point...

Depth perception in humans is obtained by comparing images generated by the two eyes to each other. Given the highly stochastic nature of neurons in the brain, this comparison requires maximizing the mutual information (MI) between the neuronal responses in the two eyes by distributing the...

We develop infinitesimally robust statistical procedures for general diffusion processes. We first prove existence and uniqueness of the times series influence function of conditionally unbiased M–estimators for ergodic and stationary dffusions, under weak conditions on the (martingale)...