Showing posts with label Poisson distribution. Show all posts
Showing posts with label Poisson distribution. Show all posts

Monday, 15 September 2025

Quantitative Examination of Internet Traffic Dynamics at Ghana Communication Technology University | Chapter 5 | Research Updates in Mathematics and Computer Science Vol. 7

We seek to unearth which distribution best describes traffic behaviour to help solve the problem of congestion on campus from a mathematical point of view. Telecommunications traffic engineering (i.e. Tele -traffic engineering) is the application of traffic engineering theory to telecommunications. Tele-traffic engineers use their cognition of statistics including queuing theory, the nature of traffic, their practical fashion model, and their mensuration and computer simulation to make predictions and to program telecommunication networks such as a telephone network or the Internet. Internet traffic is a flow of data across the internet. This flow exhibits certain behaviour in accordance with a Probability distribution.  Statistical analysis was performed to understand the characteristics of the traffic population. The empirical cumulative distribution process (CDF) together with essential statistical parameters were benchmarked. The goodness of Fit (GOF) test using the Anderson-Darling (AD) estimation method was applied to establish the best probability distribution model which describes the situation alongside with Probability plot. Deep-down opinion or analysis hints that if the period of time (or space) of grouping is increased well enough, the degree of data relationships will eventually become unimportant by scaling. The N-Flow traffic model was used to determine the burstiness of internet traffic in finite sessions. The Empirical and Theoretical CDF graph was used to determine the discrepancies between them. In the end, it was discovered that the data best fit normal distribution. From experimental and theoretical analysis, it is clear that the internet traffic behaviour in Ghana Technology University College is normally distributed.

 

 

Author(s) Details

Emmanuel Kwame Mensah

Department of Computer and Telecommunication Engineering, Faculty of Engineering, Ghana Communication Technology, PMB 100 Accra-North, Ghana.

 

Please see the book here:- https://doi.org/10.9734/bpi/rumcs/v7/2039G

 

Wednesday, 15 January 2025

Quantitative Examination of Internet Traffic Dynamics at Ghana Communication Technology University | Chapter 6 | Research Updates in Mathematics and Computer Science Vol. 7

 

We seek to unearth which distribution best describes traffic behaviour to help solve the problem of congestion on campus from a mathematical point of view. Telecommunications traffic engineering (i.e. Tele -traffic engineering) is the application of traffic engineering theory to telecommunications. Tele-traffic engineers use their cognition of statistics including queuing theory, the nature of traffic, their practical fashion model, and their mensuration and computer simulation to make predictions and to program telecommunication networks such as a telephone network or the Internet. Internet traffic is a flow of data across the internet. This flow exhibits certain behaviour in accordance with a Probability distribution.  Statistical analysis was performed to understand the characteristics of the traffic population. The empirical cumulative distribution process (CDF) together with essential statistical parameters were benchmarked. The goodness of Fit (GOF) test using the Anderson-Darling (AD) estimation method was applied to establish the best probability distribution model which describes the situation alongside with Probability plot. Deep-down opinion or analysis hints that if the period of time (or space) of grouping is increased well enough, the degree of data relationships will eventually become unimportant by scaling. The N-Flow traffic model was used to determine the burstiness of internet traffic in finite sessions. The Empirical and Theoretical CDF graph was used to determine the discrepancies between them. In the end, it was discovered that the data best fit normal distribution. From experimental and theoretical analysis, it is clear that the internet traffic behaviour in Ghana Technology University College is normally distributed.

 

Author(s)details:-

 

Emmanuel Kwame Mensah
Department of Computer and Telecommunication Engineering, Faculty of Engineering, Ghana Communication Technology, PMB 100 Accra-North, Ghana.

 

Please See the book here :-  https://doi.org/10.9734/bpi/rumcs/v7/2039G

Monday, 8 November 2021

A Study on Continuous Poisson-Rayleigh Distribution: Its Properties and Applications | Chapter 10 | Recent Advances in Mathematical Research and Computer Science Vol. 3

 The Poisson-Rayleigh distribution is a Poisson-based continuous probability distribution proposed in this article. The properties of the new distribution, such as quantile and reliability functions, and other important metrics, as well as its applications, were obtained and explored extensively in the paper. The maximum likelihood method was used to estimate the model parameters. The new distribution's utility was demonstrated empirically using real-world datasets. The Poisson-Rayleigh distribution fits the datasets far better than the Rayleigh distribution, according to the results of applying the suggested model to real-world datasets.


Author(S) Details

Abraham Iorkaa Asongo
Department of Statistics & Operations Research, MAUTech, P.M.B. 2076, Yola, Nigeria.

Innocent Boyle Eraikhuemen
Department of Physical Sciences, Benson Idahosa University Benin-City, Nigeria.

Emmanuel Remi Omoboriowo
Department of Mathematical Sciences, Gombe State University, Nigeria.

Isa Abubakar Ibrahim
Department of Mathematical & Computer Science, Federal University Kashere, Nigeria.

View Book:- https://stm.bookpi.org/RAMRCS-V3/article/view/4473