Prediction of future values of a shot noise process observed on a discrete lattice of points is considered. The shot magnitudes are assumed to be independent and identically distributed and arrive via a Poisson process; the eeect of each shot dissipates and/or accumulates according to a known shot function. Conditional mean and linear point predictors of future process values are developed. Dis...

Suicide bombings are the leading cause of death from terrorism in Israel. Counterterror tactics, such as the targeted killings or preemptive arrests of terror leaders or suspects, are meant to prevent such attacks. To investigate whether these tactics are successful, we estimated via maximum likelihood a family of shot-noise models from monthly data covering 2001 through 2003 to see whether we ...

A recent theory is reviewed for the shot noise of coherent radiation propagating through a random medium. The Fano factor P/Ī (the ratio of the noise power and the mean transmitted current) is related to the scattering matrix of the medium. This is the optical analogue of Büttiker’s formula for electronic shot noise. Scattering by itself has no effect on the Fano factor, which remains equal to ...

Two types of electrical noise fundamental to any circuit and their relation to fundamental constants are investigated. Johnson noise of a controlled-gain system is measured across different resistances and temperatures, leading to a calculation of the Boltzmann constant k = (1.48± .07)×10−23J/K and absolute zero T0 = −(270±30) ◦C. The shot noise of a variable-current system is measured, leading...

Longitudinal and transverse phase space information has been obtained from a statistical analysis of fluctuations in the radiation spectrum of an electron bunch. Uncorrelated shot noise fluctuations in longitudinal beam density result in incoherent radiation with a spectrum that consists of spikes, with width inversely proportional to the bunch length. Measurements were performed at l 620 nm on...

We study the noise properties of ballistic conductors with carriers satisfying fractional exclusion statistics. To test directly the nature of exclusion statistics we found that systems under weakly degenerate conditions should be considered. Typical of these systems is that the chemical potential m is in the thermal range umu ,3kBT . In these conditions the noise properties under current satur...