Hyper-Erlang distribution
Nowadays, Hyper-Erlang distribution is a topic that has gained great relevance in society. There are many people who are interested in this issue, either because of its impact on daily life or because of its influence on the economy and culture. Hyper-Erlang distribution is a theme that has been present throughout history, and as time progresses, its importance becomes increasingly evident. In this article, we will explore different aspects related to Hyper-Erlang distribution, its evolution over time and its impact on modern society.
In probability theory, a hyper-Erlang distribution is a continuous probability distribution which takes a particular Erlang distribution Ei with probability pi. A hyper-Erlang distributed random variable X has a probability density function given by
where each pi > 0 with the pi summing to 1 and each of the Eli being an Erlang distribution with li stages each of which has parameter λi.[1][2][3]
See also
References
- ^ Bocharov, P. P.; D'Apice, C.; Pechinkin, A. V. (2003). "2. Defining parameters of queueing systems". Queueing Theory. doi:10.1515/9783110936025.61. ISBN 9783110936025.
- ^ Yuguang Fang; Chlamtac, I. (1999). "Teletraffic analysis and mobility modeling of PCS networks". IEEE Transactions on Communications. 47 (7): 1062. doi:10.1109/26.774856.
- ^ Fang, Y. (2001). "Hyper-Erlang Distribution Model and its Application in Wireless Mobile Networks". Wireless Networks. 7 (3). Kluwer Academic Publishers: 211–219. doi:10.1023/A:1016617904269.
