Neutrosophic and Information Fusion

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Volume 4 , Issue 2 , PP: 45-54, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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

Taher Ahmed Jubbori 1 *

  • 1 Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq - (taherajubbori@mustaqbal-college.edu.iq)
  • Doi: https://doi.org/10.54216/NIF.040205

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

    [1] Viral hepatitis, (2005), Ministry of Health and in cooperation with the World Health Organization, Iraq.

    [2] Shaikh Isa, Nihal Hashim(2009), "reversing discontinuous to continuous self-regression models", unpublished master thesis, Faculty of Computer Science and Mathematics, University of Mosul, Iraq.

    [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Abdul Ghafoor Jassim.": (1989) analysis and modeling of the time series of temperatures in the city of Mosul", unpublished master's thesis, Faculty of Science, University of Mosul, Iraq.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building a chance model of the number of cases of tuberculosis in Salah al-Din governorate for the period (2000-1989)", unpublished master thesis, Faculty of education for girls, Tikrit University, Iraq.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 (2007): "a virological and immunological study on patients with viral hepatitis", unpublished doctoral dissertation, Faculty of Sciences, University of Mosul, Iraq.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.

     

    Cite This Article As :
    Ahmed, Taher. On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion, vol. , no. , 2024, pp. 45-54. DOI: https://doi.org/10.54216/NIF.040205
    Ahmed, T. (2024). On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion, (), 45-54. DOI: https://doi.org/10.54216/NIF.040205
    Ahmed, Taher. On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion , no. (2024): 45-54. DOI: https://doi.org/10.54216/NIF.040205
    Ahmed, T. (2024) . On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion , () , 45-54 . DOI: https://doi.org/10.54216/NIF.040205
    Ahmed T. [2024]. On the Problem of Inverting Discrete Self-Regression Models to Continuous Models. Neutrosophic and Information Fusion. (): 45-54. DOI: https://doi.org/10.54216/NIF.040205
    Ahmed, T. "On the Problem of Inverting Discrete Self-Regression Models to Continuous Models," Neutrosophic and Information Fusion, vol. , no. , pp. 45-54, 2024. DOI: https://doi.org/10.54216/NIF.040205