theta method
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MAUSAM ◽  
2021 ◽  
Vol 62 (1) ◽  
pp. 51-60
Author(s):  
KHALED S. M. ESSA ◽  
REFAAT A. R. GHOBRIAL ◽  
A. N. MINA ◽  
MAMDOUH HIGAZY

The Gaussian model is the most extensively used model for local dispersion. The Gaussian formula for a continuous release from a point source (GPM) is integrated to get crosswind integrated concentration. Different schemes such as Irwin, power law, Briggs, Standard method, and split sigma theta method can be used to obtain integrated concentration. Also downwind speed in power law, plume rise and Statistical measures are used in the model to know which is the best scheme agrees with the observed concentration data obtained from Copenhagen, Denmark.


Forecasting ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 478-497
Author(s):  
Fotios Petropoulos ◽  
Evangelos Spiliotis

Forecasting is a challenging task that typically requires making assumptions about the observed data but also the future conditions. Inevitably, any forecasting process will result in some degree of inaccuracy. The forecasting performance will further deteriorate as the uncertainty increases. In this article, we focus on univariate time series forecasting and we review five approaches that one can use to enhance the performance of standard extrapolation methods. Much has been written about the “wisdom of the crowds” and how collective opinions will outperform individual ones. We present the concept of the “wisdom of the data” and how data manipulation can result in information extraction which, in turn, translates to improved forecast accuracy by aggregating (combining) forecasts computed on different perspectives of the same data. We describe and discuss approaches that are based on the manipulation of local curvatures (theta method), temporal aggregation, bootstrapping, sub-seasonal and incomplete time series. We compare these approaches with regards to how they extract information from the data, their computational cost, and their performance.


2021 ◽  
Vol 112 ◽  
pp. 106775
Author(s):  
Hristo V. Kojouharov ◽  
Souvik Roy ◽  
Madhu Gupta ◽  
Fawaz Alalhareth ◽  
John M. Slezak

Author(s):  
Konstantinos Nikolopoulos ◽  
Dimitrios D. Thomakos
Keyword(s):  

2020 ◽  
Vol 19 (Number 4) ◽  
pp. 533-558
Author(s):  
Mohammad Raquibul Hossain ◽  
Mohd Tahir Ismail

Forecasting is a challenging task as time series data exhibit many features that cannot be captured by a single model. Therefore, many researchers have proposed various hybrid models in order to accommodate these features to improve forecasting results. This work proposed a hybrid method between Empirical Mode Decomposition (EMD) and Theta methods by considering better forecasting potentiality. Both EMD and Theta are efficient methods in their own ground of tasks for decomposition and forecasting, respectively. Combining them to obtain a better synergic outcome deserves consideration. EMD decomposed the training data from each of the five Financial Times Stock Exchange 100 Index (FTSE 100 Index) companies’ stock price time series data into Intrinsic Mode Functions (IMF) and residue. Then, the Theta method forecasted each decomposed subseries. Considering different forecast horizons, the effectiveness of this hybridisation was evaluated through values of conventional error measures found for test data and forecast data, which were obtained by adding forecast results for all component counterparts extracted from the EMD process. This study found that the proposed method produced better forecast accuracy than the other three classic methods and the hybrid EMD-ARIMA models.


2020 ◽  
Vol 284 (2) ◽  
pp. 550-558 ◽  
Author(s):  
Evangelos Spiliotis ◽  
Vassilios Assimakopoulos ◽  
Spyros Makridakis

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