The Number Average of Diffusion Constants.

Estimation of Time - Average Variance Constants

For statistical inference of means of stationary processes, one needs to estimate their time-average variance constants (TAVC) or long-run variances. For a stationary process, its TAVC is the sum of all its covariances and it is a multiple of the spectral density at zero. The classical TAVC estimate which is based on batched means does not allow recursive updates and the required memory complex...

Recursive Estimation of Time - Average Variance Constants

For statistical inference of means of stationary processes, one needs to estimate their time-average variance constants (TAVC) or long-run variances. For a stationary process, its TAVC is the sum of all its covariances and it is a multiple of the spectral density at zero. The classical TAVC estimate which is based on batched means does not allow recursive updates and the required memory complex...

On the average number of sharp crossings of certain Gaussian random polynomials

The Average Number of Sub - jetsin a

We calculate the average number of sub-jets in a jet, deened using a recently proposed jet clustering algorithm for hadron-hadron collisions. Our result is exact to leading order in S ; and resums large leading and next-to-leading logarithms of the resolution variable, y cut ; to all orders in S .

Homodyne measurement of the average photon number

J. G. Webb, T. C. Ralph, and E. H. Huntington Centre for Quantum Computer Technology, School of Information Technology and Electrical Engineering, University College, The University of New South Wales, Canberra, Australian Capital Territory 2600, Australia Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, St Lucia, Queensland 4072, Australia Received 1...