Purpose: The purpose of this research was to investigate the fluctuations in international tourist arrivals Kenya and identify underlying factors contributing these trends. study aimed gain a deeper understanding impact stochastic events on arrivals.
 Methodology: focused across seven geographical areas. It utilized annual time series data from 1980 2020 examined various variables, includi...

Abstract Whereas the buffer content of batch-service queueing systems has been studied extensively, the customer delay has only occasionally been studied. The few papers concerning the customer delay share the common feature that only the moments are calculated explicitly. In addition, none of these surveys consider models including the combination of batch arrivals and a server operating under...

In [1] we present a method of signal restoration to improve the signal to noise ratio, sharpen seismic arrival onset, and act as an empirical source deconvolution of specific seismic arrivals. The method is used on the shear wave time window containing SKS and S, whereby using a Gaussian PSF produces more impulsive, narrower, signals in the wave train. The resulting restored time series facilit...

Inherent in passive sonar systems are several challenges that any effective system implementation must address. One of these challenges is how to best treat multipath arrivals. In some cases these can be a hindrance while in this research they are exploited. In certain environments, multipath arrivals retain significant coherence with respect to each other. This fact has been noted and exploite...

Many platforms are characterized by the fact that future user arrivals are likely to have preferences similar to users who were satisfied in the past. In other words, arrivals exhibit {\em positive externalities}. We study multiarmed bandit (MAB) problems with positive externalities. Our model has a finite number of arms and users are distinguished by the arm(s) they prefer. We model positive e...

The transient analysis of a queuing system with fixed-size batch Poisson arrivals and a single server with exponential service times is presented. The focus of the paper is on the use of the functions that arise in the analysis of the transient behaviour of the queuing system. These functions are shown to be a generalization of the modified Bessel functions of the first kind, with the batch siz...

It is shown that a Markovian queue, with bulk arrivals and departures having any probability mass functions for their batch sizes, has geometrically distributed queue length at equilibrium (when this exists) provided there is an additional special bulk arrival stream, with particular rate and batch size distribution, when the server is idle. It is shown that the time-averaged input rate of the ...

Wepresent a comprehensive studyof regional distanceP-coda recordedby amedium-aperture array station located in ChiangMai, Thailand (CMAR). Using array processing techniques, we analyzed data from 955 events that occurred at distances of 13°–30° with primarily continental paths. Nearly all significant, coherent arrivals in the P-coda traveled along the great circle path with ray parameters withi...

In a recent paper Choy and Richards (1975) have demonstrated that phase-shifted arrivals can introduce systematic travel-time errors due to relative changes in the peak and trough positions of the arrival wavelets. The method they suggest to correct the problem is to cross-correlate an estimated zero-phase-shifted wavelet with the seismogram after all the arrivals have been restored to a zero p...

In this paper, a general tree algorithm processing a random flow of arrivals is analyzed. Capetanakis-Tsybakov-Mikhailov’s protocol in the context of communication networks with random access is an example of such an algorithm. In computer science, this corresponds to a trie structure with a dynamic input. Mathematically, it is related to a stopped branching process with exogeneous arrivals (im...