In this paper different probability density functions are fitted to the inter-arrival time in a channel of a Cellular Mobile Telephony system. The approach is entirely experimental: the data set to be fitted has been obtained on an actual system in operation. The Kolmogorov-Smirnov (K-S) goodness-of-fit test is used in order to establish a ranking of the best fitting probability density functio...

• (inter-arrival times and arrival times) – Arrival times T1,T2, · · · are i.i.d. and have Exp(λ) distribution. – The kth arrival time Yk = T1 + · · · + Tk is called to have the Erlang distribution of order k. • (merging of Poisson processes) If (At ) and (Bt ) are independent Poisson processes of rate α and β, resp., then – Nt = At + Bt is a Poisson process of rate λ = α + β. – If (Xn )∞ n=1 i...

In the last two decades, an enormous increase in empirical studies from the view of different network layer and from a variety of different networks has been seen. However ICMP traffic of Internet is ignored all along. In view of this, the contribution of this paper aims at filling such a gap in studying self-similarity and heavy-tail in ICMP traffic. Five different type DATA sets are investiga...

This proof is adapted from Dassios and Zhao (2013) to our setting. We first note that the intensity λ t increases by Y j at jump time T j. That is, the right limit λ T + j is equal to the left limit λ T − j plus Y j. Thus, after the j-th jump, the intensity λ t would follow λ t = λ T + j − a e −δ(t−Tj) + a, T j ≤ t < T j + S j+1 , where T j and λ T + j are observed at the j-th jump. Here S j+1 ...

We further develop the general theory of quantum time distributions introduced in [D. Jurman and H. Nikolić, Phys. Lett. A 396, 127247 (2021)] apply it to find distribution arrival times at detector. Even though Hamiltonian absence detector is hermitian, evolution system before detection involves dealing with a non-hermitian operator obtained from projection hermitian onto region front Such for...

The P seismic phase first arrival identification is a fundamental problem in seismology. The accurate identification of the P-wave first arrival is not a trivial process, especially when the seismograms present a very low signal-to noise ratio (SNR) or are contaminated with artificial transients that could produce false alarms. In this paper, a new approach based on higher-order statistics and ...

BACKGROUND/PURPOSE To determine whether utilization of emergency medical service (EMS) can increase use and expedite delivery of the thrombolytic therapy in acute ischemic stroke patients. METHODS We analyzed consecutive patients presenting to the emergency department (ED) with an ischemic stroke within 72 hours of symptom onset from a prospective stroke registry. Variables associated with ea...