Dr. Nicy Sebastian

Email

• nicycms@gmail.com

Education and Academic Positions

• 2014-present, Assistant Professor, Dept. of Statistics, St Thomas College, Thrissur.
• 2012 – 2014 Visiting Scientist, Indian Statistical Institute, Chennai, India.
• 2009 – 2012 Doctor of Philosophy in Statistics (Ph.D), Banaras Hindu University, Varanasi, India.
• 2007 – 2009 Junior research fellow (DST), Centre for Mathematical Sciences (CMS), Pala Campus, Kerala, India.
• 2004 – 2006 Post Graduation in Statistics, St Thomas College, Pala, Kerala, India.
• 2001 – 2004 Graduation in Mathematics, St George College, Aruvithura, Kerala, India.

Research Interests

• Distribution theory, Reliability analysis, Time series, Multivariate analysis,Fractional calculus, Special functions.(https://scholar.google.com/citations?hl=en&user=qQG-_ggAAAAJ)

Professional Activities

1. Life time member of the Indian Science Congress Association.
2. Life time member of Indian Society for Probability and Statistics.
3. Life time member of Society for Special Functions and Their Applications.
4. Life time member of the Kerala Statistical Association.
5. Reviewer of Journal of Radiation Research and Applied Sciences.
6. Reviewer of Nonlinear Dynamics.
7. Reviewer of Pakistan Journal of Statistics.
8. Reviewer of Fractional Calculus and Applied Analysis
9. Reviewer of Statistics and Applications

1. Member Board of Studies in Statistics (UG & PG), St.Thomas College (Autonomous), Thrissur.

International Collaborations

1. A. Kilbas, Professor, Belarusian State University, Minsk, Belarus.
2. Rudolf Gorenflo, Professor, Free University of Berlin, Germany.
3. Hans J. Haubold, Professor and Chief Scientist, Office of Outer Space Affairs, United Nations, Vienna, Austria
4. M. Mathai, Professor, McGill University, Montreal, Canada.

Students Supervision

• D. Students

1. Dr. Deepthy G. S“Statistical Modelling and Applications Using Weibull and Burr III Distributions” (Awarded).
2. Vijayalakshmi S, “Multivariate robust control charts for location and dispersion” (Completed).
3. Vacancy for anytime PhD admission: 2

• Masters Students -15 completed
• Undergraduate Students – 7 groups completed.

Research Papers Published

16. Deepthy, G. S., Lakshmi R., and Nicy Sebastian. (2025). On Log Odd Burr III Weibull Regression Model and its Application in Survival Analysis. Statistics and Applications. (Accepted)
17. Vijayalakshmi S, Nicy Sebastian and Sajesh T.A. (2025). Robust Bivariate Control Chart for Process Monitoring with Rational Subgroups. Quality and Reliability Engineering International, https://doi.org/10.1002/qre.70022
18. JinetMariyaJojy, Sajesh T. A. and Nicy Sebastian (2025). The Power Generalized KavyaManoharan Transformation: Applications In Reliability and Lifetime Regression. Reliability: Theory & Applications, September 3(86):  690-704, DOI: https://doi.org/10.24412/1932-2321-2025-386-690-704.
19. Gladwin James V. ,Sudheep Jose, Thomas Xavier and Nicy Sebastian (2025). Estimation of stress‑strength reliability for type‑1 pathway generated exponential distribution. International Journal of Systems Assurance Engineering and Management, 16, 2858–2869. https://doi.org/10.1007/s13198-025-02845-x
20. Deepthy, G. S. Anakha, K. K.  and  Nicy Sebastian (2025).  Inference on Partially ObservedCompeting Risks Models Using Generalized Type-II Hybrid Censoring Scheme. Austrian Journal of Statistics, 54(4), 117-135. https://doi.org/10.17713/ajs.v54i4.2049
21. Vijayalakshmi S, Nicy Sebastian and Sajesh T.A.(2025). Unveiling outliers with robust covariance matrix estimation: a shrinkage approach. Statistical Papers, 66, 74. https://doi.org/10.1007/s00362-025-01694-x
22. Deepthy, G. S., SujeshAreekara,   and  Nicy Sebastian (2025).  A Comprehensive Analysis Using Maximum Likelihood Estimation and Artificial Neural Networks for Modeling Arthritic Pain Relief Data. Stochastics and Quality Control, vol. 40, no. 1, 2025, pp. 15-32. https://doi.org/10.1515/eqc-2024-0023
23. Nicy Sebastian, Jeena Joseph, Muhsina C. S. and Sandra I. S (2024). Marshall-OlkinExponentiatedNadarajahHaghighi Distribution and its Applications. Reliability: Theory & Applications, December 4(80): 105-119, DOI: https://doi.org/10.24412/1932-2321-2024-480-105-119
24. Vijayalakshmi S, Nicy Sebastian and Sajesh T.A.(2024). Bivariate robust control charts for individual observations. Communications in Statistics – Simulation and Computation, 1–11. https://doi.org/10.1080/03610918.2024.2391866
25. Princy T. andNicy Sebastian (2024).On generalized Dirichlet averages and fractional calculus,Editor(s): Praveen Agarwal, Luis Vázquez, Ervin K. Lenzi, In Advanced Studies in Complex Systems, Recent Trends in Fractional Calculus and Its Applications, Academic Press, 1-20. https://doi.org/10.1016/B978-0-44-318505-2.00007-6.
26. Nicy Sebastian and Princy, T. (2023). Type-1 Beta Distribution and its Connections to Likelihood Ratio Test. Statistica, 83(2), 153–164. https://doi.org/10.6092/issn.1973-2201/16837
27. Nicy Sebastian, Jeena Joseph and SonaSanthosh(2023).Topp-Leone Generated q-Weibull Distribution and its Applications. Statistics and Applications ,Volume 21, No. 2, 2023 (New Series), pp 279–297. http://www.ssca.org.in/journal
28. Princy, T.,Nicy Sebastian, and Hans J. Haubold. 2023. On Complex Matrix-VariateDirichlet Averages and Its Applications in Various Sub-Domains. Entropy25, no. 11: 1534. https://doi.org/10.3390/e25111534
29. Vijayalakshmi, S., Sebastian, Nicy and Sajesh, T. A.. (2023). Enhancing Multivariate Control Charts for Individual Observations Using ROC Estimates.  Stochastics and Quality Control, vol. 38, no. 2, 2023, pp. 109-118. https://doi.org/10.1515/eqc-2023-0023
30. NicySebastian and T. Princy(2023). Exact sampling distribution of the general case sample correlation matrix ,Communications in Statistics – Theory and Methods, 53(18), 6380–6393. https://doi.org/10.1080/03610926.2023.2244622
31. Deepthy, G. S., Nicy Sebastian, and N. Chandra. (2023). Applications of Burr III-WeibullQuantile Function in Reliability Analysis. Statistical Theory and Related Fields7 (4): 296–308. https://doi.org/10.1080/24754269.2023.2201096
32. James, A , Chandra, N , Sebastian, N. , (2023). Stress‐strength reliability estimation for bivariate copula function with Rayleigh marginals , International Journal of Systems Assurance Engineering and Management , 14 (Suppl 1), 196–215 https://doi.org/10.1007/s13198-022-01836-6
33. M. Mathai andNicy Sebastian (2023). On distributions of covariance structures, Communications in Statistics – Theory and Methods,  52(20), 7370–7384. https://doi.org/10.1080/03610926.2022.2045022
34. Nicy Sebastian, Jeena Joseph and Princy T. (2022).Type 1 Topp-Leone q-Exponential Distribution and its Applications, Reliability Theory & Applications, 17,69(3),361-375.  https://doi.org/10.24412/1932-2321-2022-369-361-375
35. Deepthy G S and Nicy Sebastian (2022) A New Life Time Distribution: Burr III Modified Weibull Distribution And Its Application in Burn in Process, Reliability Theory & Applications, 17,67(1),76-86.https://doi.org/10.24412/1932-2321-2022-167-76-86
36. Nicy Sebastian, Arak M. Mathai and Hans J. Haubold(2021) Entropy Optimization, Maxwell–Boltzmann, and Rayleigh Distributions, Entropy, 23(6), 754.org/10.3390/e23060754
37. Rajitha V R and NicySebastian(2021) Some Properties Associated with Topp Leone Exponential and Topp Leone Exponential Distributions.
    arXiv:2103.03723[math.ST]
38. Nicy Sebastian and Rhea Davis (2021) Maximization of Mathai’s Entropy under the Constraints ofGeneralized Gini Index and its Applications.
    arXiv:2203.06436 [math.ST]

24. G S Deepthy, Nicy Sebastian and Reshma Rison (2020) Some Properties and Applications of Burr III-Weibull Distribution,Proceedings of National Seminar in Applied Statistics and Symposium on Stochastic Modelling, 97-112.
25. Sebastian, N. Rasin R. S. and Silviya P. O (2019)Topp-Leone Generator Distributions and its Applications, Proceedings of National Conference on Advances in Statistical Methods, 127-139.
26. Nair, S. S. and Sebastian, N., (2019) On generalized q-logistic distributions and its characterizations, Proceedings of the seventeenth Annual Conference of the Society for Special Functions and their Applications, 17, 55-64.
27. Sebastian, N. and Gorenflo, R., (2016) Time series models associated with Mittag-Leffler type distributions and its properties, Communications in Statistics Theory and Methods,  45(24), 7210-7225.https://doi.org/10.1080/03610926.2014.978946
28. Sebastian, N. and Gorenflo, R., (2016) Fractional differentiation of the product of Bessel functions of the first kind, Analysis, 36(1),39-48.https://doi.org/10.1515/anly-2015-5004
29. Sebastian, N., Nair, S. S. and Joseph, D. P, (2015) An Overview of the Pathway Idea and Its Applications in Statistical and Physical Sciences, Axioms, 2015, 4(1), 530-553.

https://doi.org/10.3390/axioms4040530

30. Sebastian, N. (2015). Limiting approach to generalized gamma Bessel model via fractional calculus and its applications in various disciplines. Axioms, 4, 385-399.

https://doi.org/10.3390/axioms4030385

31. Sebastian, N. (2014). Generalized pathway entropy and its applications in diffusion entropyanalysis and fractional calculus, Communications in Applied and Industrial Mathematics, 6, No.2, doi: 10.1685/journal.caim.537.
32. Sebastian, N. (2011). On multivariate generalized gamma Bessel model, Proceedings of DiscreteMathematics and Computational Statistics.
33. Sebastian, N. (2011). Certain properties of Saigo-operator associated with generalized hyper geometric function, Proceedings of the International Conference on Mathematical Sciences, 93-112.
34. Sebastian, N. (2011). A generalized gamma model associated with a Bessel function, IntegralTransforms and Special functions, 22(9), 631-645.

https://doi.org/10.1080/10652469.2010.536413

35. Kilbas, A. A. and Sebastian, N. (2010). Fractional integration of the product of Bessel functions of the first kind, Fractional Calculus and Applied Analysis, 13(2), 159-175.

http://eudml.org/doc/219642

36. Sebastian, N. (2010). An overview of generalized gamma model associated with Bessel function, Proceedings of the National workshop on Fractional calculus and Statistical distributions, CMSPublication No. 41, 33-46.
37. Sebastian, N. (2009). A generalized gamma model associated with Bessel function and its applications in statistical mechanics, Proceedings of AMADE-09, Belarus, 114-119.
38. Sebastian, N. (2009). Some statistical aspects of fractional calculus, Journal of Kerala Statistical Association, 20, 23-33.
39. Sebastian, N. (2008). Certain fractional integral and differential operators on modified Besselfunction of the first kind, STARS: Int.Journal(Sciences), 2, No.1, 50-64.
40. Kilbas, A. A. and Sebastian, N. (2008). Generalized fractional differentiation of Bessel functionof the first kind, MathematicaBalkanica (New Series), 22( 3-4), 323-346.
41. Kilbas, A. A. and Sebastian, N. (2008). Generalized fractional integration of Bessel function ofthe first kind, Integral Transforms and Special functions, 19, (12) , 869-883.https://doi.org/10.1080/10652460802295978

Research Papers Submitted

1. Deepthy. G. S, Nicy Sebastian and N. Chandra (2025). Applications of Stress-Strength Estimation Using Clinical Data. (submitted).
2. Deepthy, G. S., Sebastian, N., Sini K.P. and Anakha, K. K. (2025). Characteristics and Goodness-of-Fit of the Burr III Weibull Distribution with Applications to COVID-19 Mortality Rates. (submitted).
3. Princy T. and Nicy Sebastian and (2025).The Impact of the Entropy Parameter in Generalized Information Measures for Image Quality Assessment (submitted).
4. Deepthy, G. S., and Sebastian, N. Inference on Multi-Component Stress-Strength Reliability with Non-Identical Component Strengths Using progressively first-failure censored Data from the Weibull Distribution. (submitted).
5. Princy T. and Nicy Sebastian and (2025). Modified type-1 Dirichlet averages of the three parameter Mittag-Leffler function through Fractional integrals and Special functions (submitted).
6. Jeena Joseph, Nicy Sebastian, Harisree P N and Keerthana T (2024). The Generalized DUS Exponentiated Exponential Distribution: A Comprehensive Study on Estimation and Reliability  (submitted).
7. Nicy Sebastian and Princy T., (2023). A Characterization Problem (submitted).

Book(s) edited

1. Applied Statistical Techniques And Stochastic Modelling, Proceedings of National Seminar in Applied Statistics and Symposium on Stochastic Modelling, NSASSSM-2020. ISBN 978-81-944730-1-5
2. Proceedings of National Seminar on Statistical Approaches in Data Science, 2019. ISBN: 978-81-935819-2-6
3. Proceedings of the national workshop on fractional calculus and statistical distributions, DST CMS Publication No. 41, 2009.

Conferences/Seminar/Workshop Talks

1. Ninth International Conference on “Statistics for Twenty-first Century-2023” (ICSTC-2023) held at of Statistics and School of Physical and Mathematical Sciences, University of Kerala, Trivandrum during December 15 – 18, 2023.
2. An International Conference on recent applications of statistical techniques and analysis held at of Statistics, Banaras Hindu University, Varanasi during December 15-17, 2021.
3. National Seminar in Applied Statistics and Symposium on Stochastic Modelling held at Dept. of Statistics, St. Thomas College, Thrissur during February 04-06, 2020.
4. National Seminar on Statistical Approaches in Data Science held at Dept. of Statistics, St. Thomas College, Thrissur during February 06-07, 2019.
5. International Conference on Special Functions and Applications -2018 Organized by the Societyfor Special function and their Applications held during 22-23 November 2018 at Kanjirappally, Kerala.
6. National Conference on Advances in Statistical Methods held at the Department of Statistical Sciences, Kannur University, Kannur during November 8-10, 2018.
7. National Conference on Applied Mathematics held at Dept. of Mathematics, St. Thomas College, Thrissur during February 27-28, 2015.
8. National Seminar on Recent Advances in Statistical Theory and its Applications held at Dept.of Statistics, St. Thomas College, Thrissur during February 25-26, 2015.
9. National Conference on Interdisciplinary Realms of Statistics held at Sree Kerala Varma College, Thrissur during January 9-10, 2015.
10. Orientation Program for UG students at The Department of Statistics, Govt. College forWomen, Thiruvananthapuram on 8th August 2014.
11. Orientation Program conducted by Indian Statistical Institute, Chennai and Farook College,at Farook College Kozhikode during 20-24 December 2013.
12. International Conference on Fractional Calculus, Probability and Non-local Operators: Applications and Recent Developments held at Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain, from 6-8 November 2013.
13. International Conference on Special Functions and Their Applications (ICSFA-2011) & Symposium on Works of Ramanujan held during July 28-30, 2011 at Jodhpur.
14. International Conference on New Trends in Life Testing, Bayesian Inference, Sampling theory, Bio-Statistics, Bio-Informatics and Computer Applications held at the Department ofStatistics, Banaras Hindu University, Varanasi, India, from 5-8 January 2011.
15. International Conference on Mathematical Sciences in Honour of Professor A. M. Mathai Heldat Department of Statistics St Thomas College Pala, Kerala, India from 3-5 January 2011.
16. National Conference on Advances in Statistical Theory and Applications held by BangaloreUniversity, Bangalore during November 16-18, 2011.
17. National Seminar on Discrete Mathematics and Computational Statistics held at the Department of Mathematics, Bishop Kurialacherry College forWomen, Kottayam, Kerala, from 23-24, June 2011.
18. 97th Indian Science Congress held at the University of Kerala, Thiruvananthapuram, from 3-7January 2010.
19. National Workshop on Fractional Calculus and Statistical Distributions held at CMS PalaCampus, Kerala, from November 25-27, 2009.
20. Fifth International Conference of Analytical Methods of Analysis and Differential Equations held at Minsk, Belarus, from 14-19 September 2009.
21. 14th Annual Conference of Gwalior Academy of Mathematical Sciences and a Symposium onComputational Mathematics and its Application to Engineering, Management and Biology,held at IPS College of Technology and Management, (IPS CTM) Gwalior, from 17-19 July2009.
22. 11th Annual Conference of the Society of Statistics, Computer and Applications held at Department of Statistics, University of Madras, from 24-26 February 2009.
23. 96th Indian Science Congress held at NEHU, Shilong, from 3-7 January 2009.
24. National Meet of Research Scholars in Mathematical Sciences held at IIT Kanpur, U.P., from6-10 December 2008.

Awards/Success

• Selected FLAIR Programme 2018-2019, Department of Higher Education, Government of Kerala
• Won the Young Statistician Award of Kerala Statistical Association in 2009.
• Third prize, 2008 DST SERC School

Conferences/Seminar/Workshop Organized

1. Third Lecture Series On Linear Algebra,22-23November 2022
2. Lecture Series in Statistics and its Applications, 15 December 2021
3. Opportunità di lavoro 2021
4. National Webinar on The Recent Developments in Statistics and Probability – 2021
5. National Seminar in Applied Statistics and Symposium on Stochastic Modelling -2020
6. One day Seminar on Demography and Gender Statistics-2019
7. Statistics Day Celebration-2019
8. National Seminar on Statistical Approaches in Data Science-2019
9. National Workshop on Probability and statistics-2018

Extension Activities

• OPPORTUNITÀ DI LAVORO- career opportunities
• URJA KIRAN – Energy conservation programme
• National Statistics Day Celebrations

Institution Visit

1. Basque Center for Applied Mathematics, Bilbao, Spain
2. Belarusian State University, Minsk, Belarus
3. Indian Statistical Institute, Kolkata
4. Indian Statistical Institute,
5. Indian Statistical Institute, Bangalore
6. Indian Statistical Institute, Chennai
7. Indian Institute of Technology, Madras
8. Indian Institute of Technology, Kanpur
9. Chennai Mathematical Institute
10. Banaras Hindu University
11. Savitribai Phule Pune University
12. University of Hyderabad