The Poisson noise channel with the input random variable \(X\), the scaling factor \(a\), the dark current parameter \(\lambda\), and the ouput random variable \(Y\). Poisson noise models are an ...

We investigate the almost sure convergence of a kernel-type conditional empirical distribution function both in sup-norm and weighted sup-norms. As an application we get a strong law for the ...

In a number of situations we are faced with the problem of determining efficient estimates of the mean and variance of a distribution specified by (i) a non-zero probability that the variable assumes ...