We present a method to obtain both exact values and sharp estimates for the total variation distance between binomial and Poisson distributions with the same mean λ. We give a simple efficient ...

We study first passage percolation (FPP) on the configuration model (CM) having power-law degrees with exponent τ ∈ [1, 2) and exponential edge weights. We derive the distributional limit of the ...

This study extends the Poisson binomial distribution by introducing correlation and dependence between binomial events, enhancing its ability to capture complex event types and improving model ...

Neurons transmit information with sequences of action potentials. These responses are variable—repeated measurements under identical experimental conditions give different spike trains—but the origins ...

This article discusses the contribution of counting statistics to the uncertainty in identifying the net peak area, and in controlling detection limits. The method is applicable to spectrometers that ...