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Modelling and Forecasting South African Airline Passengers Using ARIMA

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Intelligent Computing and Optimization (ICO 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 854))

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Abstract

In the study we model and forecast South African airline passengers, using yearly time series data from 1970 to 2019. Box-Jenkins ARIMA methodology is used to forecast airline passenger data for the next five years (2020–2024). The raw data used was not stationary and as a result, was differenced once to make it stationary. In this study, an ARIMA (3,1,2) model was proposed. In addition, diagnostic tests demonstrated that the proposed model is, in fact, adequate and could be utilised to make predictions on the number of passengers for the South African airline from 2020 to 2024.

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Abbreviations

AFC:

Autocorrelation Function

AIC:

Akaike’s Information Criterion

AR:

Autoregression

ARIMA:

Autoregressive Integrated Moving Average

ESACF:

Extended Sample Autocorrelation Function

GDP:

Gross Domestic Product

I:

Integrated

MA:

Average

PACF:

Partial Autocorrelation Function

Q-Q:

Quantile-Quantile plot

SAA:

South African Airline

SBC:

Schwarz’s Bayesian Criterion

TBATS:

Trigonometric seasonality, Box-Cox transformation, ARMA errors, Trends, Seasonal components

WDI:

World Development Indicators

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Correspondence to Elias Munapo .

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Maruping, T.T., Seaketso, P., Mdlongwa, P., Munapo, E. (2023). Modelling and Forecasting South African Airline Passengers Using ARIMA. In: Vasant, P., et al. Intelligent Computing and Optimization. ICO 2023. Lecture Notes in Networks and Systems, vol 854. Springer, Cham. https://doi.org/10.1007/978-3-031-50151-7_15

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