Abstract
In this study, the non-parametric Inferential Model or IM with the entropy-based random set has been proposed for the investigation of financial data in the two statistical domains i.e. estimation and prediction. The samples from five financial markets were chosen for representing the different types of financial assets to make a conclusion about this new framework. We found that the Inferential Model performed equally well compared with the traditional method but was more robust so that it might be more appropriate for some specific uses.
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Notes
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These earlier versions, e.g. unpublished, pre-print or non-public versions, were revised for official releases but are worth exploring.
References
Nguyen, H.T.: On evidential measures of support for reasoning with integrated uncertainty: a lesson from the ban of P-values in statistical inference. In: Huynh, V.-N., Inuiguchi, M., Le, B., Le, B.N., Denoeux, T. (eds.) IUKM 2016. LNCS (LNAI), vol. 9978, pp. 3–15. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-49046-5_1
Zhang, Z., Xu, H., Martin, R., Liu, C.: Inferential models for linear regression. Pak. J. Stat. Oper. Res. 7(2), 413–432 (2011)
Liu, C., Martin, R., Zhang, J.: Situation-specific inference using Dempster-Shafer theory. Preprint (2008)
Liu, C., Zhang, J.: Dempster-Shafer inference with weak beliefs. Preprint (2008)
Ermini Leaf, D., Hui, J., Liu, C.: Statistical inference with a single observation of \({N}(\theta \), 1). Pak. J. Statist 25, 571–586 (2009)
Lawrence, E.C., Vander Wiel, S., Liu, C., Zhang, J.: A new method for multinomial inference using Dempster-Shafer theory. Preprint (2009)
Zhang, J., Xie, J., Liu, C.: Probabilistic inference: test and multiple tests (2009)
Martin, R., Zhang, J., Liu, C.: Dempster-Shafer theory and statistical inference with weak beliefs. Stat. Sci. 25(1), 72–87 (2010)
Zhang, J., Liu, C.: Dempster-Shafer inference with weak beliefs. Stat. Sin. 21(2), 475–494 (2011)
Martin, R., Liu, C.: Inferential models (2011). http://www.stat.purdue.edu/~chuanhai
Martin, R., Liu, C.: Generalized inferential models. Technical report, Purdue University, October 2011
Ermini Leaf, D., Liu, C.: Inference about constrained parameters using the elastic belief method. Int. J. Approx. Reason. 53(5), 709–727 (2012)
Martin, R., Liu, C.: Inferential models: a framework for prior-free posterior probabilistic inference. J. Am. Stat. Assoc. 108(501), 301–313 (2013)
Martin, R., Liu, C.: Correction: ‘inferential models: a framework for prior-free posterior probabilistic inference’. J. Am. Stat. Assoc. 108(503), 1138–1139 (2013)
Liu, C., Martin, R.: Frameworks for prior-free posterior probabilistic inference. Wiley Interdisc. Rev. Comput. Stat. 7(1), 77–85 (2015)
Liu, C., Xie, J.: Large scale two sample multinomial inferences and its applications in genome-wide association studies. Int. J. Approx. Reason. 55(1), 330–340 (2014)
Liu, C., Xie, J.: Probabilistic inference for multiple testing. Int. J. Approx. Reason. 55(2), 654–665 (2014)
Martin, R., Liu, C.: Conditional inferential models: combining information for prior-free probabilistic inference. J. Royal Stat. Soc. Ser. B (Stat. Methodol.) 77(1), 195–217 (2015)
Martin, R., Liu, C.: Marginal inferential models: prior-free probabilistic inference on interest parameters. J. Am. Stat. Assoc. 110(512), 1621–1631 (2015)
Martin, R.: On an inferential model construction using generalized associations. arXiv e-prints, November 2015
Martin, R., Lingham, R.T.: Prior-free probabilistic prediction of future observations. Technometrics 58(2), 225–235 (2016)
Jin, H., Li, S., Jin, Y.: The IM-based method for testing the non-inferiority of odds ratio in matched-pairs design. Stat. Probab. Lett. 109, 145–151 (2016)
Nguyen, S.P., Pham, U.H., Nguyen, T.D., Le, H.T.: A new method for hypothesis testing using inferential models with an application to the changepoint problem. In: Huynh, V.-N., Inuiguchi, M., Le, B., Le, B.N., Denoeux, T. (eds.) IUKM 2016. LNCS (LNAI), vol. 9978, pp. 532–541. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-49046-5_45
Thianpaen, N., Liu, J., Sriboonchitta, S.: Time series forecast using AR-belief approach. Thai J. Math. 14(3), 527–541 (2016)
Martin, R., Xu, H., Zhang, Z., Liu, C.: Valid uncertainty quantification about the model in a linear regression setting. arXiv e-prints, December 2014
Acknowledgements
The first and second authors thank to Assoc. Prof. Dr. Ryan Martin for clarifications on some suspicions pertaining fundamental concepts of the Inferential Model during his attendance in the 10th International Conference of the Thailand Econometric Society (TES 2017). This research is financially supported by the Center of Excellence in Econometrics and the Faculty of Economics, Chiang Mai University, Thailand.
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Rattanadamrongaksorn, T., Sirikanchanarak, D., Sirisrisakulchai, J., Sriboonchitta, S. (2018). Estimating and Predicting Financial Series by Entropy-Based Inferential Model. In: Huynh, VN., Inuiguchi, M., Tran, D., Denoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2018. Lecture Notes in Computer Science(), vol 10758. Springer, Cham. https://doi.org/10.1007/978-3-319-75429-1_28
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