THE MULTIPLE REGRESSION MODEL WITH DICHOTOMOUS VARIABLES IN ANALYSIS OF MULTI-SECTIONAL DEMAND FOR CONNECTIVITY SERVICES – APPROACH BASED ON PER SECOND BILLING

P. Kaczmarczyk
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Abstract

The article presents the results of comparative research of the effectiveness of two types of models in terms of approximation and short-term forecasting of the multi-sectional demand for connectivity services. The presented results of the analyses are related to the selection of an appropriate forecasting method as an element of the Prediction System dedicated to telecommunications operators. The first tested model was a multiple regression model with dichotomous explanatory variables. The second model was a multiple regression model with dichotomous explanatory variables and autoregression. In both models, the dependent variable was the hourly counted seconds of outgoing calls within the network of the selected operator. Telephone calls were analysed in terms of such classification factors as: type of day, category of call, group of subscribers. Taking into account all levels of classification factors of the explanatory variable, 35 dichotomous explanatory variables were specified. The defined set of dichotomous explanatory variables was used in the estimation process of both compared regression models. However, in the second model, first-order autoregression was additionally applied. The second model (multiple regression model with dichotomous explanatory variables with first-order autoregression) was found to have higher approximation and predictive capabilities than the first model (multiple regression model with dichotomous explanatory variables without autoregression).
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多区段连接服务需求分析中的二元变量多元回归模型——基于每秒计费的方法
本文介绍了两种模型在连接服务多断面需求近似和短期预测方面的有效性对比研究结果。所提出的分析结果与选择适当的预测方法有关,作为电信运营商专用的预测系统的一个要素。第一个被检验的模型是具有二分类解释变量的多元回归模型。第二个模型是具有二分类解释变量和自回归的多元回归模型。在这两个模型中,因变量都是在所选运营商的网络中每小时计算的呼出电话秒数。电话是根据以下分类因素进行分析的:日期类型、电话类别、用户群体。考虑到解释变量的各级分类因子,确定了35个二分类解释变量。在两种比较回归模型的估计过程中都使用了定义好的二分类解释变量集。然而,在第二个模型中,增加了一阶自回归。发现第二种模型(二分类解释变量加一阶自回归的多元回归模型)比第一种模型(不加自回归的二分类解释变量的多元回归模型)具有更高的近似和预测能力。
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审稿时长
17 weeks
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