The daily electric demand in Peruvian National Interconnected System-SEIN- has very particular trend, seasonality and characteristics external effects, a situation that complicates the process of estimating the short-term forecast. The aim of this paper is to formulate and calculate ARIMA models with External Events Analysis to achieve efficient forecasts of electricity demand each day, at total level and broken down by areas of the SEIN. The methodology is based on treating each time series using appropriate statistical-mathematical transformations to achieve stability in variance as regular seasonal averages, parallel external events to try to reach an optimal predictive model ARIMA each area of the electrical system of Peru (Central, South and North) and for each day of the week. The results demonstrate the predictive efficiency. Taking as a quality indicator forecast the Mean Absolut...

The daily electric demand in Peruvian National Interconnected System-SEIN- has very particular trend, seasonality and characteristics external effects, a situation that complicates the process of estimating the short-term forecast. The aim of this paper is to formulate and calculate ARIMA models with External Events Analysis to achieve efficient forecasts of electricity demand each day, at total level and broken down by areas of the SEIN. The methodology is based on treating each time series using appropriate statistical-mathematical transformations to achieve stability in variance as regular seasonal averages, parallel external events to try to reach an optimal predictive model ARIMA each area of the electrical system of Peru (Central, South and North) and for each day of the week. The results demonstrate the predictive efficiency. Taking as a quality indicator forecast the Mean Absolut...

This paper focuses on the mathematical construction of a model that describes the statistical properties of a second wave of infections by Corona Virus Disease 2019 (Covid-19 in short) from the information of a first one. Basically this study is done having as grounds a topological model based at rectangles. Thus, perimeters and distances between rectangles might be encompassed to a real data through valid approximations. A full trapezoid model is also proposed. The two-rectangles model appears that fits well to the Philippines covid-19 data. It is seen that while both rectangles are pretty separated, the the peak of second wave turns out to be high. From this an exponential formulation is derived, and fits well the exponential morphology as seen in Covid-19 data France.