AP

ASSOC. PROF. CAO XUAN PHUONG

Associate Prof. 2024, Ph.D. 2018

Senior Lecturer, Head of Statistics Department

caoxuanphuong@tdtu.edu.vn 

A. Education and professional activities

1. Education and degrees

  • 2018: PhD in Probability Theory and Mathematical Statistics, University of Science, Vietnam National University Ho Chi Minh City, Vietnam.
  • 2011: MSc in Analysis, University of Science, Vietnam National University Ho Chi Minh City, Vietnam.
  • 2008: BS in Mathematics and Computer Science, University of Science, Vietnam National University Ho Chi Minh City, Vietnam.

2. Professional activities

  • 2025 April 01 – present: Senior Lecturer at Statistics Department, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
  • 2012 February 01 – 2025 March 30: Lecturer at Statistics Department, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
  • 2015 September 05 – present: Head of Statistics Department, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

3. Research interests

  • Mathematical Statistics.
  • Applied Mathematics.

4. Research projects

[1]. Deconvolution problem for P(X<Y) with unknown noise distributions, Ton Duc Thang University, grant number FOSTECT.2024.24, 2024 2025 (Principal Investigator).

[2]. Deconvolution problem for cumulative distribution function, Ton Duc Thang University, grant number FOSTECT.2023.38, 2023 2024 (Principal Investigator).

[3]. Some regularization methods for ill-posed problems, NAFOSTED, grant number 101.02-2019.321, 2020 – 2022 (Member).

[4]. Some regularization methods for ill-posed problems, NAFOSTED, grant number 101.02-2016.26, 2017 – 2019 (Member).

[5]. Some regularization methods for ill-posed problems, NAFOSTED, grant number 101.01-2012.07, 2013 – 2015 (Member).

5. Science and technology awards

[1]. Mathematics Outstanding Paper Award in 2019 of Vietnam Institute for Advanced Study Mathematics, Decision 146/QĐ-VNCCTC, 22/11/2019.

[2]. Mathematics Outstanding Paper Award in 2017 of Ministry of Education and Learning, Decision 4360/QĐ-BGDĐT, 13/10/2017.

[3]. Mathematics Outstanding Paper Award in 2014 of Ministry of Education and Learning, Decision 6178/QĐ-BGDĐT, 27/12/2014.

6. Conferences​​​​​​

[1]. The 7th Vietnam Probability and Statistics Conference, Quy Nhon City, August 04 – 08, 2025.

[2]. International Conference on Applied Mathematics, Ho Chi Minh City, July 11 – 13, 2024 (ICAM 2024)

[3]. The 10th Vietnam Mathematical Congress, Da Nang City, August 8 – 12, 2023.

[4]. International Conference on Applied Mathematics and its Applications, Ho Chi Minh City, July 14 – 15, 2022 (ICMA 2022)

[5]. International Conference on Applied Mathematics, Ho Chi Minh City, December 18 – 20, 2018 (ICM 2018)

[6]. The 9th Vietnam Mathematical Congress, Nha Trang City, August 14 – 18, 2018 (Probability and Statistics Session).

[7]. The 10th Scientific Conference University of Science – VNUHCM, Ho Chi Minh City, 11 November, 2016 (Mathematics and Computer Science Session).

[8]. International Conference on Applied Mathematics in Engineering and Reliability, Ho Chi Minh City, May 4 – 6, 2016 (ICAMER 2016)

[9]. The 5th Vietnam Probability and Statistics Conference, Da Nang City, May 23 – 25, 2015.

[10]. The 8th Vietnam Mathematical Congress, Nha Trang City, August 10 – 14, 2013 (Probability and Statistics Session).

[11]. International Conference on Statistics and Its Interactions with Other Disciplines, Ho Chi Minh City, June 4 – 6, 2013 (SIOD 2013).

7. Supervision

Undergraduate:

[1]. Nguyen Ngoc Ngan (Bachelor in Statistics; Thesis: Nonparametric estimation of cumulative distribution function from noisy data in the presence of Berkson and classical errors; 2024, Ton Duc Thang University).

[2]. Dang Phuc Hieu (Bachelor in Statistics; Thesis: An overview on ANOVA; 2020, Ton Duc Thang University).

[3]. Nguyen Ngoc Nhi (Bachelor in Statistics; Thesis: Estimation of the density of a sum of i.i.d. random variables; 2019, Ton Duc Thang University).

[4]. Nguyen Thi Thuy (Bachelor in Statistics; Thesis: Nonparametric estimation of regression function in the simple regression model; 2019, Ton Duc Thang University ).

[5]. Vo Nguyen Tuyet Doan (Bachelor in Statistics; Thesis: On the kernel density estimator; 2018, Ton Duc Thang University ).

[6]. Nguyen Thi Hong Nga (Bachelor in Applied Mathematics and Computer Science; Thesis: Density deconvolution problem; 2014, Ton Duc Thang University).

Master:

[1]. Vo The Vinh (Master Science in Applied Mathematics; Thesis: Tikhonov's regularization for one-dimensional convolution equation; 2023, Ton Duc Thang University).

[2]. Nguyen Thi Thanh Nha (Master Science in Applied Mathematics; Thesis: Nonparametric estimation of cumulative distribution function; 2019, Ton Duc Thang University).

Student Scientific Research:

[1]. 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, 2025, Ton Duc Thang University (Third prize for student scientific research at university level, the academic year 2024 - 2025).

[2]. Nguyen Ngoc Ngan and Nguyen Thanh Xuan Truc, Deconvolution problem for cumulative distribution function based on repeated measurement data with normal error, 2024, Ton Duc Thang University (Second prize for student scientific research at university level, the academic year 2023 - 2024).

B. Publications

1. Papers

[26]. Thuy, L. T. H., & Phuong, C. X. (2025). Density deconvolution of a sum variable from noisy data with unknown noise distribution. Mathematica Slovaca, 1 – 34. (SCIE, to appear).

[25]. Phuong, C. X., & Thuy, L. T. H. (2025). Deconvolution of cumulative distribution function of continuous component of a mixture distribution. Statistics, 1 – 29. (DOI: https://doi.org/10.1080/02331888.2025.2556278, SCIE)

[24]. 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)

[23]. Trang, B. T., and Phuong, C. X. (2024). On a nonparametric estimation of P(X<Y<Z) in the presence of measurement errors, Communications in Statistics – Simulation and Computation, 1 – 28. (DOI: https://doi.org/10.1080/03610918.2024.2414227, 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., and 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 L^1-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

FACULTY OF MATHEMATICS AND STATISTICS
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