On the Problem of Inverting Discrete Self-Regression Models to Continuous Models

Taher Ahmed

doi:https://doi.org/10.54216/NIF.040205

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Volume 4 • Issue 2 • PP: 45-54 • 2024

On the Problem of Inverting Discrete Self-Regression Models to Continuous Models

Taher Ahmed Jubbori ^1*

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¹Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/NIF.040205

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Received: January 17, 2024 Accepted: July 12, 2024

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Abstract

In this paper, we discuss the problem of converting auto-regression models at a discrete time into auto-regression models at continuous time, based on the idea of converting auto-regression models from first to second order. We study the general formula of AR (p) and its ability to convert from discrete to continuous time. Also, we use our model to study some real-life problems as a direct application of our approach.

Keywords

Discrete-time Continuous time Self-regression Mathematical model

References

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[3] Al-Obeidi, Abdul Ghafoor Jassim.": (1989) analysis and modeling of the time series of temperatures in the city of Mosul", unpublished master's thesis, Faculty of Science, University of Mosul, Iraq.

[4] Al-ajili, Sanus Nuri. (2002):" building a chance model of the number of cases of tuberculosis in Salah al-Din governorate for the period (2000-1989)", unpublished master thesis, Faculty of education for girls, Tikrit University, Iraq.

[5] The architect, Mohammed duaj. (2007): "a virological and immunological study on patients with viral hepatitis", unpublished doctoral dissertation, Faculty of Sciences, University of Mosul, Iraq.

[6] Brockwell, A., E. & Brockwell, P. J., (1999), "A Class of Non Embeddable ARMA processes", Journal of Time Series Analysis, vol. 20, No., 5, PP. 483-486.

[7] He, S., W., & Wang, J., G., (1989), "On embedding a discrete-parameter ARMA model in a continuous-parameter ARMA model", Journal of Time Series Analysis, vol. 10, No. 4, PP. 315-323.

[8] Priestley, M. B., (1981): "Spectral Analysis and Time Series volume 1 univariate series", Academic Press, London.

[9] Tong, H. & Chan, K., S., (1987), "A note on embedding a discrete parameter ARMA model in a continuous parameter ARMA model", Journal of Time Series Analysis, vol. 8, PP. 277-281.

[10] Wei, William W.S. (1990), "Time series Analysis: Univariate and Multivariate Method.", Adison-wesley publishing company Inc.

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Jubbori, Taher Ahmed. "On the Problem of Inverting Discrete Self-Regression Models to Continuous Models." Neutrosophic and Information Fusion, vol. Volume 4, no. Issue 2, 2024, pp. 45-54. DOI: https://doi.org/10.54216/NIF.040205

Jubbori, T. (2024). On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion, Volume 4(Issue 2), 45-54. DOI: https://doi.org/10.54216/NIF.040205

Jubbori, Taher Ahmed. "On the Problem of Inverting Discrete Self-Regression Models to Continuous Models." Neutrosophic and Information Fusion Volume 4, no. Issue 2 (2024): 45-54. DOI: https://doi.org/10.54216/NIF.040205

Jubbori, T. (2024) 'On the Problem of Inverting Discrete Self-Regression Models to Continuous Models', Neutrosophic and Information Fusion, Volume 4(Issue 2), pp. 45-54. DOI: https://doi.org/10.54216/NIF.040205

Jubbori T. On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion. 2024;Volume 4(Issue 2):45-54. DOI: https://doi.org/10.54216/NIF.040205

T. Jubbori, "On the Problem of Inverting Discrete Self-Regression Models to Continuous Models," Neutrosophic and Information Fusion, vol. Volume 4, no. Issue 2, pp. 45-54, 2024. DOI: https://doi.org/10.54216/NIF.040205

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