Functional Modelling of Telecommunications Data

Abstract

This work deals with statistical modeling and forecasting of telecommunications data. Main mobile traffic events (SMS, Voice calls, Mobile data) are smoothed using B-spline functions and later analyzed in a functional framework. Functional linear auto-regression models are fitted using both bottom-up and topdown design methodologies. The advantages and disadvantages of both approaches for the prediction of mobile telephone users’ habits are discussed.

Change-Point Detection in Functional First-Order Auto-Regressive Models

“…For the case study, voice consumption in minutes and mobile data consumption in MB are used. This type of date was analyzed in [20] using first-order auto-regressive models, and it was confirmed that models of type (1) are appropriate.…”

“…In order to perform the test on real data, we employed a telecommunications data set. The data set was used by Birbilas and Račkauskas [20], who showed that the FAR(1) model is appropriate for prediction purposes. In this work, we continue the analysis of this data set by proposing a test for the detection of structural changes.…”

“…Yu and Lambert [19] analyzed records for completed international calls. Birbilas and Račkauskas [20] modeled call data records and predicted mobile product consumption using different approaches in a functional framework. Change-point detection plays a crucial role in telecommunications as it can be monitored and implemented at different levels depending on the business model, e.g., the operational level (system failures in cell towers), the technical level (signal changes and wireless connection stability), and the marketing level (a promotion's effect on usage).…”

Transforming Telecom Revenue- The impact of OTT Service

“…The voice tra c has been calculated from the Erlang formula. The required number of channels was obtained by Erlang B formula for a given block probability and a predicted value of tra c [26], [27] Where P B is the blocking probability, a is the predicted tra c in Erlang, n is the number of channels.…”