Robust detection of the smallest circulating cerebral microemboli is an efficient way of preventing strokes, which is second cause of mortality worldwide. Transcranial Doppler ultrasound is widely considered the most convenient system for the detection of microemboli. The most common standard detection is achieved through the Doppler energy signal and depends on an empirically set constant thre...

Most of recent and important algorithms in signal processing (for blind identification or separation, etc) are based on higher order statistics (HOS). And most of them use a criteria based on the fourth order statistics (moment or cumulant). The problem of using HOS consists on the estimation of the statistics. In the literature, three different estimators of the fourth order cumulant were used...

We analyze different volume–limited samples extracted from the Southern Sky Redshift Survey (SSRS2), using counts–in–cells to compute the Count Probability Distribution Function (CPDF).From the CPDF we derive volume– averaged correlation functions to fourth order and the normalized skewness and kurtosis S3 = ξ̄3/ξ̄2 2 and S4 = ξ̄4/ξ̄2 3 . We find that the data satisfies the hierarchical relations i...

This paper mainly studies the order statistics of geometric distribution. The deduces joint frequency function and conditional statistics, and, obtain prove some important propositions Certain are different from also similar to corresponding exponential distribution.