An application of Poisson hidden Markov model to forecast endometrial cancer cases in Odisha, India


Abstract


Background: Time series model often used for forecasting, but inadequate when the data series is unbounded and over dispersed in nature. Moreover, if the observations are serially dependent, then Markov dependent mixture model i.e., Poisson Hidden Markov model can be used. The objective of this study was to apply Poisson Hidden Markov model to forecast month wise new endometrial cancer cases.

Materials and Methods: Month-wise total number of registered endometrial cancer cases has been collected from a local cancer hospital in Odisha from January, 2017 to December, 2021. In this paper we have applied the Poisson hidden Markov model to forecast, the number of endometrial cancer cases for next 12 months.

Results: Three state Poisson hidden Markov model was found as best fitted model and used to forecast the endometrial cancer cases for the next 12 months. The results showed that the number of endometrial cancer cases most likely to lie in state 2 in January and in state 3 in rest of the months in 2022. The monthly forecasted mean of endometrial cancer cases varies between 34 to 38 for the year 2022.

Conclusion: This study reveals that the average endometrial cancer cases will increase in future months. It is also suggested that, the three-state hidden Markov model can be used to fit and forecast the distribution of the number of endometrial cancer cases.


DOI Code: 10.1285/i20705948v16n3p764

Keywords: Mixture model, Hidden Markov model, Poisson hidden Markov model, Endometrial cancer, Forecasting.

References


Churchill, G. A. R. Y. A. (1989). Stochastic models for heterogeneous dna sequences. 51(1), 79–94.

Cohen, A. (1998). Hidden Markov models in biomedical signal processing. 20(3), 1145–1150. https://doi.org/10.1109/iembs.1998.747073.

Cooper, B., & Lipsitch, M. (2004). The analysis of hospital infection data using hidden Markov models. 5(2), 223–237.

George, J., & Thomas, S. (2018). Modeling of Dengue Fever Death Counts Using Hidden Markov Model. Journal of Environmental Statistics, 8(9), 1–11.

Green, P. J., & Richardson, S. (2012). Hidden Markov Models and Disease Mapping Hidden Markov Models and Disease Mapping. 97(460), 1055–1070. https://doi.org/10.1198/016214502388618870.

Jose, A., Sebastian, T., & George, S. (2020). Modelling time series of count data using hidden markov models. Stochastic Modeling and Applications, 24(1), 25–33.

Juang, B. H., & Rabiner, L. R. (1991). Hidden markov models for speech recognition. Technometrics, 33(3), 251–272. https://doi.org/10.1080/00401706.1991.10484833.

Laverty, W. H., Miket, M. J., & Kelly, I. W. (2002). Application of hidden Markov models on residuals: An example using Canadian traffic accident data. Perceptual and Motor Skills, 94(3 PART 2), 1151–1156. https://doi.org/10.2466/pms.2002.94.3c.1151.

Paroli, R., Redaelli, G., & Spezia, L. (1994). Poisson hidden markov models for time series of overdispersed insurance counts. 461–474. actuaries.org.

Pattnaik, S. S., Mohapatra, J., Parija, J., Sarangi, L., Das, R., Rout, N., Giri, S., Samantray, S., Panda, N., Devi, P., Das, P., Nayak, B., Mohapatra, M., Padhi, A. K., and Panda, S. (2020). A case series of poorly differentiated carcinoma endometrium ihc confirmed reported at ahrcc cuttack , state odisha , country india. International Journal of Scientific and Research Publications, 10(3):190–201.

Rabiner, L. R. (1989). A Tutorial on Hidden Markov Models and Selected Applications in Speech Recognition. Proceedings of the IEEE, 77(2), 257–286. https://doi.org/10.1109/5.18626.

Sadeghifar, M., Seyed-Tabib, M., Haji-Maghsoudi, S., Naemani, K., & Aalipur-Byrgany, F. (2016). The application of Poisson hidden Markov model to forecasting new cases of congenital hypothyroidism in Khuzestan province. Journal of Biostatistics and Epidemiology, 2(1), 14–19.

Sarvi, F., Nadali, A., Khodadost, M., Moghaddam, M., & Sadeghifar, M. (2017). Application of Poisson Hidden Markov Model to Predict Number of PM2.5 Exceedance Days in Tehran During 2016-2017. Avicenna J Environ Health Eng. https://doi.org/10.5812/ajehe.58031.

Viterbi, A. J. (1967). Error Bounds for Convolutional Codes and an Asymptotically Optimum Decoding Algorithm. IEEE Transactions on Information Theory, 13(2), 260–269. https://doi.org/10.1109/TIT.1967.1054010.

Zucchini, W., & Iain L Langrock, R. M. (2016). Hidden Markov models for binary time series. In CRC Press, Taylor & Francis Group.


Full Text: pdf


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.