Using Time-Inhomogeneity Markov Chain For Testing Kidney Diseases Departures: Apply Study For Razgari Hospital in Erbil-Iraq

Section: Research Paper
Published
Jun 25, 2025
Pages
113-121

Abstract

Numerous research projects in many area concentrate on phenomena that develop over extended times rather than those that are only visible at particular discrete intervals in time. The mechanisms underlying these observations are frequently selected to be represented by time-homogeneous stochastic processes (Markov model). To evaluate the suitability of these models, we process two test statistics. The first test evaluates the overall quality of fit, and the second test evaluates regional departures from homogeneity in the temporal direction. Information on the spread of two Kidney diseases is examined prior to death for 40 kidney disease patients in Rizgari Hospital during the period (2020-2022) . The results of both tests were significant. The statistical social science state SPSS has been used for this study.

References

  1. Aalen, rnulf Borgan, Niels Keiding and Jens Thormann., Interaction between Life History Events. Nonparametric Analysis for Prospective and Retrospective Data in the Presence of Censoring (1980), Vol. 7, No. 4, pp. 161-171 (11 pages).
  2. Alamu Matthew. O, James Tolulope. O., Survival Analysis of Kidney Disease Patients on Dialysis (2022), ISSN: 2394-3661, Volume-9, Issue-1,
  3. Barlow, R. and Proschan, F. (1975). Statistical Theory of Reliability and Life Testing Probability Models. USA: Holt, Rinehart and Winston, Inc.
  4. Bedford, T. and Cook, R. (2009). Probabilistic Risk Analysis Foundation and Methods. USA: Cambridge University Press.
  5. Clayton, D. and Cuzick, J. (1985) Multivariate generalizations of the proportional hazard model. J. R. Statistic Soc. A. 148, 82-117.
  6. Cox, R. and Miller, H. (1965). The Theory of Stochastic Processes. London: Methuen & C0 Ltd.
  7. Cox, R. and Oakes, D. (1984). Analysis of Survival Data. London: Chapman and Hall Ltd.
  8. Crowder, M. (2012). Multivariate Survival Analysis and Computing Risks. New York: CRC Press.
  9. Crowder, M., Smith, R.and Sweeting, T. (1991). Statistical Analysis of Reliability Data. London: Chapman and Hall Ltd.
  10. Daoud C, Abdullah C, and et.. (2022), Survival for waitlisted kidney failure patients receivingtransplantation versus remaining on waiting list: systematicreview and meta-analysis
  11. Emily. F. , Tiago M., et..(2020) Survival and analysis of predictors of mortality in patients undergoing replacement renal therapy: a 20-year cohort.
  12. James W. Vaupel, Kenneth G. Manton& Eric Stallard(1979), The impact of heterogeneity in individual frailty on the dynamics of mortality.
  13. https://bjui-journals.onlinelibrary.wiley.com/doi/epdf/10.1111/bju.13994.
  14. Lawless, J.F (2003). Statistical Models and Methods for Lifetime Data, 2nd Ed. New Jersey: John Wiley & Sons, INC.
  15. Lemke, D. (2016). Maximum likelihood estimation and EM fixed point ideals for binary tensors. (San Francisco State University. Masters Theses Collection Degree in Mathematics.). San Francisco, CA: [San Francisco State University]
  16. NHS Choices (2011). Unhealthy lifestyles linked to UK cancer rates. Accessed from http://www.nhs.uk/news/2011/01January/Pages/unhealthy-lifestyleslinked-to-UK-cancer-rates.aspx.
  17. Othman, R.T., Abdulljabar, R., Saeed, A., Kittani, S.S., Sulaiman, H.M., Mohammed, S.A., Rashid, R.M. and Hussein, N.R. (2011). Cancer incidence rates in the Kurdistan region/Iraq from 2007-2009. Asian pacific Journal of Cancer Prevention, Vol. 12, No. 5, pp.1261-1264.
  18. Tony, L.and Stephen, N., (1980). The analysis of Re- employment probabilities of the unempolye Journal of the royal statistics society. Vol. 143, No.2 pp. 141-165.

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How to Cite

Saber Raza, M., & مهدي. (2025). Using Time-Inhomogeneity Markov Chain For Testing Kidney Diseases Departures: Apply Study For Razgari Hospital in Erbil-Iraq. IRAQI JOURNAL OF STATISTICAL SCIENCES, 20(2), 113–121. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20640