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A New Approach for Estimating Probability Density Function with Fuzzy Data

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Credible Asset Allocation, Optimal Transport Methods, and Related Topics (TES 2022)

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 429))

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Abstract

“Data Is the New Oil of the Digital Economy”. With this quotation, how to explore data becomes keyword in economic. However, due to the fuzziness of the environment restriction on human and other resources, the data values may be imprecise or collected only in the form of intervals. That leads to the fuzziness of data. Especially, data in financial application may appear as fuzzy numbers such as in stock price prediction. There are several research on fuzzy lifetime data and other reliability problems but not on fuzzy financial data. In this paper, we focus on financial fuzzy data and propose a estimating method for fuzzy probability density functions. The method is expressed as an algorithm running on a simulated data set and a real data set of stock price.

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Acknowledgements

We would like to express our deep gratitude to professor Hung T. Nguyen of New Mexico State University/Chiang Mai University for his generous help in our research, for his encouragements and for numerous discussions.

This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number B2021-34-03.

Author information

Authors and Affiliations

  1. Faculty of Economic Mathematics, University of Economics and Law, Vietnam National University of Ho Chi Minh City, Quarter 3, Linh Xuan Ward, Thu Duc District, Ho Chi Minh City, Vietnam

    Hoa Le & Uyen Pham

  2. Information Science Faculty, Sai Gon University, 273, An Duong Vuong St., Ward 3, District 5, Ho Chi Minh City, Vietnam

    Pham The Bao

Authors
  1. Hoa Le
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  2. Uyen Pham
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  3. Pham The Bao
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Corresponding author

Correspondence to Uyen Pham .

Editor information

Editors and Affiliations

  1. Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Songsak Sriboonchitta

  2. Department of Computer Science, University of Texas, El Paso, TX, USA

    Vladik Kreinovich

  3. Faculty of Economics, Center of Excellence in Econometrics, Chiang Mai University, Chiang Mai, Thailand

    Woraphon Yamaka

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Le, H., Pham, U., Bao, P.T. (2022). A New Approach for Estimating Probability Density Function with Fuzzy Data. In: Sriboonchitta, S., Kreinovich, V., Yamaka, W. (eds) Credible Asset Allocation, Optimal Transport Methods, and Related Topics. TES 2022. Studies in Systems, Decision and Control, vol 429. Springer, Cham. https://doi.org/10.1007/978-3-030-97273-8_26

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