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Assoc. Prof. Cao Xuan Phuong

 
 AP

Assoc. Prof. Cao Xuan Phuong

Associate Prof. 2024, Ph.D. 2018

Senior Lecturer, Head of the Department of Statistics

caoxuanphuong@tdtu.edu.vn

A. Education and professional activities

1. Education

  • 2018: PhD in Probability Theory and Mathematical Statistics, University of Science, VNU-HCM, Vietnam.
  • 2011: MSc in Mathematical Analysis, University of Science, VNU-HCM, Vietnam.
  • 2008: BS in Mathematics and Computer Science, University of Science, VNU-HCM, Vietnam.

2. Professional activities

  • 09/2015 – present: Head of the Department of Statistics, Faculty of Mathematics and Statistics, Ton Duc Thang University.
  • 04/2025 – present: Senior Lecturer, Department of Statistics, Faculty of Mathematics and Statistics, Ton Duc Thang University.
  • 02/2012 – 03/2025: Lecturer, Department of Statistics, Faculty of Mathematics and Statistics, Ton Duc Thang University.

3. Research interests

  • Mathematical Statistics.
  • Applied Mathematics.

4. Research projects

Principal investigator:

  • 2024 – 2025: "Deconvolution problem for P(X<Y) with unknown noise distributions", University-level Research Project, Ton Duc Thang University, Grant No. FOSTECT.2024.24.
  • 2023 – 2024: "Deconvolution problem for cumulative distribution function", University-level Research Project, Ton Duc Thang University, Grant No. FOSTECT.2023.38.

Member:

  • 2020 – 2022: "Some regularization methods for ill-posed problems", National Research Project, NAFOSTED, Grant No. 101.02-2019.321.
  • 2017 – 2019: "Some regularization methods for ill-posed problems", National Research Project, NAFOSTED, Grant No. 101.02-2016.26.
  • 2013 – 2015: "Some regularization methods for ill-posed problems", National Research Project, NAFOSTED, Grant No. 101.01-2012.07.

5. Science and technology awards

  • 2019: Mathematics Outstanding Paper Award of Vietnam Institute for Advanced Study in Mathematics (Decision 146/QĐ-VNCCTC, 22/11/2019).
  • 2017: Mathematics Outstanding Paper Award of Ministry of Education and Training (Decision 4360/QĐ-BGDĐT, 13/10/2017).
  • 2014: Mathematics Outstanding Paper Award of Ministry of Education and Training (Decision 6178/QĐ-BGDĐT, 27/12/2014).

6. Conferences

  • 2025: The 7th Vietnam Conference on Probability and Statistics, Quy Nhon (August 04 – 08).
  • 2024: International Conference on Applied Mathematics (ICAM 2024), Ho Chi Minh City (July 11 – 13).
  • 2023: The 10th Vietnam Mathematical Congress, Da Nang (August 08 – 12).
  • 2022: International Conference on Mathematics and its Applications (ICMA 2022), Ho Chi Minh City (July 14 – 15).
  • 2018: International Conference on Mathematics (ICM 2018), Ho Chi Minh City (December 18 – 20).
  • 2018: The 9th Vietnam Mathematical Congress (Session: Probability and Statistics), Nha Trang (August 14 – 18).
  • 2016: The 10th Scientific Conference of University of Science, VNU-HCM (Session: Mathematics and Computer Science), Ho Chi Minh City (November 11).
  • 2016: International Conference on Applied Mathematics in Engineering and Reliability (ICAMER 2016), Ho Chi Minh City (May 04 – 06).
  • 2015: The 5th Vietnam Conference on Probability and Statistics, Da Nang (May 23 – 25).
  • 2013: The 8th Vietnam Mathematical Congress (Session: Probability and Statistics), Nha Trang (August 10 – 14).
  • 2013: International Conference on "Statistics and Its Interactions with Other Disciplines" (SIOD 2013), Ho Chi Minh City (June 04 – 06).

7. Supervision

Master's thesis:

  • Vo The Vinh (Master Science in Applied Mathematics, 2023), Ton Duc Thang University.
  • Nguyen Thi Thanh Nha (Master Science in Applied Mathematics, 2019), Ton Duc Thang University.

Graduation thesis:

  • Nguyen Ngoc Ngan (Bachelor in Statistics, 2024), Ton Duc Thang University.
  • Dang Phuc Hieu (Bachelor in Statistics, 2020), Ton Duc Thang University.
  • Nguyen Ngoc Nhi (Bachelor in Statistics, 2019), Ton Duc Thang University.
  • Nguyen Thi Thuy (Bachelor in Statistics, 2019), Ton Duc Thang University.
  • Vo Nguyen Tuyet Doan (Bachelor in Statistics, 2018), Ton Duc Thang University.
  • Nguyen Thi Hong Nga (Bachelor in Applied Mathematics and Computer Science, 2014), Ton Duc Thang University.

Student scientific research:

  • Pham Thi Thao, "Estimation of the error distribution from replicate measurements", Ton Duc Thang University, 2026.
  • Lai Ngoc Bao Tram, Duong Thanh Tuyen, and Nguyen Thi Thanh Hoa, "Nonparametric estimation for cumulative distribution function of a sum of independent and identically distributed random variables", Ton Duc Thang University, 2025 (Third Prize, University-level Student Scientific Research Award for the 2024 – 2025 academic year).
  • Nguyen Ngoc Ngan and Nguyen Thanh Xuan Truc, "Deconvolution problem for cumulative distribution function based on repeated measurement data with normal error", Ton Duc Thang University, 2024 (Second Prize, University-level Student Scientific Research Award for the 2023 – 2024 academic year).

B. Publications

1. Papers

[26]. Thuy, L. T. H., & Phuong, C. X. (2026). Density deconvolution of a sum variable from noisy data with unknown noise distribution. Mathematica Slovaca, 76(2), 531 – 560. (DOI: https://doi.org/10.1515/ms-2026-0001, SCIE).

[25]. Trang, B. T., & Phuong, C. X. (2026). On a nonparametric estimation of P(X<Y<Z) in the presence of measurement errors. Communications in Statistics – Simulation and Computation, 55(3), 738 – 765. (DOI: https://doi.org/10.1080/03610918.2024.2414227, SCIE)

[24]. Phuong, C. X., & Thuy, L. T. H. (2026). Deconvolution of cumulative distribution function of continuous component of a mixture distribution. Statistics, 60(1), 239 – 267. (DOI: https://doi.org/10.1080/02331888.2025.2556278, SCIE)

[23]. Phuong, C. X., & Trang, B. T. (2025). Deconvolution of P(X<Y) from repeated data samples with unknown noise distributions. Communications in Statistics – Theory and Methods, 54(22), 7011 – 7051. (DOI: https://doi.org/10.1080/03610926.2025.2465646, SCIE)

[22]. Trang, B. T., Thuy, L. T. H., & Phuong, C. X. (2024). Nonparametric deconvolution of cumulative distribution function from repeated observations with unknown noise distribution. Communications in Statistics – Theory and Methods, 53(24), 8787 – 8818. (DOI: https://doi.org/10.1080/03610926.2023.2298896, SCIE)

[21]. Phuong, C. X., & Thuy, L. T. H. (2024). Nonparametric estimation of P(X<Y) from noisy data samples with non-standard error distributions, Metrika, 87(8), 973 – 1006. (DOI: https://doi.org/10.1007/s00184-023-00941-1, SCIE)

[20]. Trang, B. T., & Phuong, C. X. (2024). An estimation of P(X<Y<Z) using repeated observations with unknown noise distribution. Journal of Statistical Theory and Practice, 18, 1 – 39. (DOI: https://doi.org/10.1007/s42519-024-00403-5, ESCI)

[19]. Thuy, L. T. H., & Phuong, C. X. (2024). Density estimation of a sum random variable from contaminated data samples. Communications in Statistics – Simulation and Computation, 53(6), 2822 – 2841. (DOI: https://doi.org/10.1080/03610918.2022.2091780, SCIE)

[18]. Thuy, L. T. H., & Phuong, C. X. (2024). Nonparametric estimations for the cumulative distribution functions of random effects in a linear mixed-effects model. Communications in Statistics – Theory and Methods, 53(10), 3659 – 3687. (DOI: https://doi.org/10.1080/03610926.2022.2158347, SCIE)

[17]. Thuy, L. T. H., & Phuong, C. X. (2023). Density deconvolution with associated stationary data. Applications of Mathematics, 68(5), 685 – 708 (DOI: 10.21136/AM.2023.0135-22, SCIE)

[16]. Trang, B. T., & Phuong, C. X. (2023). Strong consistency of a deconvolution estimator of cumulative distribution function. Statistics, Optimization and Information Computing, 11(4), 922 – 935. (DOI:  https://doi.org/10.19139/soic-2310-5070-1732, Scopus)

[15]. Thuy, L. T. H., & Phuong, C. X. (2023). Deconvolution problem of cumulative distribution function with heteroscedastic errors. Journal of the Korean Statistical Society, 52(2), 330 – 360. (DOI: https://doi.org/10.1007/s42952-023-00203-w, SCIE)

[14]. Phuong, C. X., & Thuy, L. T. H. (2022). Deconvolution of P(X < Y) with unknown error distributions. Communications in Statistics – Theory and Methods, 51(17), 5889 – 5912. (DOI: https://doi.org/10.1080/03610926.2020.1849722, SCIE)

[13]. Phuong, C. X., Thuy, L. T. H., & Doan, V. N. T. (2022). Nonparametric estimation of cumulative distribution function from noisy data in the presence of Berkson and classical errors. Metrika, 85(3), 289 – 322. (DOI: https://doi.org/10.1007/s00184-021-00830-5, SCIE)

[12]. Phuong, C. X., & Thuy, L. T. H. (2021). Distribution estimation of a sum random variable from noisy samples. Bulletin of the Malaysian Mathematical Sciences Society, 44(5), 2773 – 2811. (DOI: https://doi.org/10.1007/s40840-021-01088-w, SCIE)

[11]. Trong, D. D., Phuong, C. X., & Viet, T. Q. (2020). Nonparametric estimation of random effects densities in a linear mixed-effects model with Fourier-oscillating noise density. Communications in Statistics – Theory and Methods, 49(24), 5988 – 6015. (DOI: https://doi.org/10.1080/03610926.2019.1625923, SCIE)

[10]. Phuong, C. X. (2020). Deconvolution of cumulative distribution function with unknown noise distribution. Acta Applicandae Mathematicae, 170(1), 483–514. (DOI: https://doi.org/10.1007/s10440-020-00343-9, SCIE)

[9]. Phuong, C. X., & Thuy, L. T. H. (2020). Density deconvolution in a non-standard case of heteroscedastic noises. Journal of Statistical Theory and Practice, 14(4), 1 – 17.  (DOI: https://doi.org/10.1007/s42519-020-00130-7, ESCI)

[8]. Thuy, L. T. H., & Phương, C. X. (2020). Một ước lượng chuỗi trực giao cho bài toán giải chập mật độ phi tham số. Tạp chí Khoa học Đại học Văn Lang, 23, 69 – 73.

[7]. Trong, D. D., & Phuong, C. X. (2019). Deconvolution of a cumulative distribution function with some non-standard noise densities. Vietnam Journal of Mathematics, 47(2), 327 – 353. (DOI: https://doi.org/10.1007/s10013-018-0308-9, ESCI)

[6]. Phuong, C. X., & Thuy, L. T. H. (2019). Density deconvolution from grouped data with additive errors. Statistics and Probability Letters, 148, 74 – 81. (DOI: https://doi.org/10.1016/j.spl.2019.01.007, SCIE)

[5]. Phuong, C. X. (2018). Estimation of a fold convolution in additive noise model with compactly supported noise density. Science and Technology Development Journal – Natural Sciences, 2(1), 76 – 83. (DOI: https://doi.org/10.32508/stdjns.v2i1.678)

[4]. Phuong, C. X., Trong, D. D., & Viet, T. Q. (2018). On the mean L1-error in the heteroscedastic deconvolution problem with compactly supported noises. Communications in Statistics – Theory and Methods, 47(16), 3871 – 3892. (DOI: https://doi.org/10.1080/03610926.2017.1364389, SCIE)

[3]. Trong, D. D., Nguyen, T. T. Q., & Phuong, C. X. (2017). Deconvolution of P(X<Y) with compactly supported error densities. Statistics and Probability Letters, 123, 171 – 176. (DOI: https://doi.org/10.1016/j.spl.2016.12.014, SCIE)

[2]. Trong, D. D., & Phuong, C. X. (2015). Ridge-parameter regularization to deconvolution problem with unknown error distribution. Vietnam Journal of Mathematics, 43(2), 239 – 256. (DOI: https://doi.org/10.1007/s10013-015-0119-1, ESCI)

[1]. Trong, D. D., Phuong, C. X., Tuyen. T. T., & Thanh, D. N. (2014). Tikhonov’s regularization to the deconvolution problem. Communications in Statistics – Theory and Methods, 43(20), 4384 – 4400. (DOI: https://doi.org/10.1080/03610926.2012.721916, SCIE)

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Head of Faculty

Department of Applied Mathematics

Department of Statistics

Department of Mathematics for Economists

Department of Mathematics for Engineers

Administrative Department