Dept. > Statistics > Teaching StaffDr. Nicy Sebastian, M.Sc., Ph.D.

Date of Birth:  
Date of Joining:01.10.2014
Contact Nos:9497238914
Email:nicycms@gmail.com
Research InterestDistribution theory, Fractional calculus, Special functions, Stochastic process, Time series, Reliability analysis.
Research Experience
  • 2012 - 2014 Visiting Scientist, Indian Statistical Institute, Chennai centre, CIT Campus, Taramani, Chennai, India.
  • 2009 - 2012 Senior research fellow (DST), Centre for Mathematical Sciences (CMS), Pala Campus, Kerala, India.
  • 2007 - 2009 Junior research fellow (DST), Centre for Mathematical Sciences (CMS), Pala Campus, Kerala, India.
Academic Qualification
  • 2009 - 2012 Doctor of Philosophy in Statistics (Ph.D), Banaras Hindu University, Varanasi, India.
  • 2004 - 2006 Post Graduation in Statistics, St Thomas College, Pala, Kerala, India. (83%)
  • 2001 - 2004 Graduation in Mathematics, St George College, Aruvithura, Kerala, India. (92%)
Thesis"Statistical Distributions and Time Series Models Connected to Bessel and Mittag-Leffler Functions via Fractional Calculus"
Supervisor : Professor Umesh Singh, Banaras Hindu University, India.
Co-Supervisor : Professor A.M. Mathai, McGill University, Canada.
Project

"A study on checking linear model assumptions using SAS software"
Supervisor : Professor Sreejith V., Govt. College for Women, Thiruvananthapuram

Awards and Prizes
  • Won the Young Statistician Award of Kerala Statistical Association in 2009.
  • Third prize, 2008 SERC School at CMS
International Collaborations in Research
  • Late Professor A. A. Kilbas, Belarusian State University, Minsk, Belarus.
  • Professor Rudolf Gorenflo, Free University of Berlin, Germany.
  • Professor Hans J. Haubold, Office of Outer Space Affairs, United Nations, Austria.
Research Papers Published / Accepted / Communicated
  1. Kilbas, A. A. and Sebastian, N. (2008). Generalized fractional integration of Bessel function of the first kind, Integral Transforms and Special functions, 19, No. 12, 869-883.
  2. Kilbas, A. A. and Sebastian, N. (2008). Generalized fractional differentiation of Bessel function of the first kind, Mathematica Balkanica (New Series), 22, No. 3-4, 323-346.
  3. Sebastian, N. (2008). Certain fractional integral and differential operators on modified Bessel function of the first kind, STARS: Int.Journal(Sciences), 2, No.1, 50-64.
  4. Sebastian, N. (2009). Some statistical aspects of fractional calculus, Journal of Kerala Statistical Association, 20, 23-33.
  5. Sebastian, N. (2009). A generalized gamma model associated with Bessel function and its applications in statistical mechanics, Proceedings of AMADE-09, Belarus, 114-119.
  6. Sebastian, N. (2010). An overview of generalized gamma model associated with Bessel function, Proceedings of the National workshop on Fractional calculus and Statistical distributions, CMS Publication No. 41, 33-46.
  7. 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, No. 2 , 159-175.
  8. Sebastian, N. (2011). A generalized gamma model associated with a Bessel function, Integral Transforms and Special functions, 22, No. 9, 631-645.
  9. Sebastian, N. (2011). Certain properties of Saigo operator associated with generalized hyper geometric function, Proceedings of the International Conference on Mathematical Sciences, 93-112.
  10. Sebastian, N. (2011). On multivariate generalized gamma Bessel model, Proceedings of Discrete Mathematics and Computational Statistics.
  11. Sebastian, N. (2012). Limiting approach to generalized gamma Bessel model via fractional calculus and its applications in various disciplines. Springer Proceedings in Physics http://arxiv.org/abs/1307.7949.
  12. Sebastian, N. and Gorenflo, R. (2013). A generalized Laplacian model associated with the fractional generalization of the Poisson processes,http://arxiv.org/abs/1307.8271.
  13. Sebastian, N., Joseph, D. P. and Nair, S. S.(2013). An overview of the pathway idea in physical and statistical sciences. http://arxiv.org/abs/1307.7931.
  14. Sebastian, N. (2014). Generalized pathway entropy and its applications in diffusion entropy analysis and fractional calculus, Communications in Applied and Industrial Mathematics. http://arxiv.org/abs/1402.7199.
Book(s) edited/ co-edited
  1. Proceedings of the national workshop on fractional calculus and statistical distributions, DST CMS Publication No. 41, 2009.
  2. Entropy (Shannon, Boltzmann-Gibbs), Distribution Function (Gauss, Maxwell-Boltzmann), and H-Function (Fox, Leibniz fractional calculus), Springer, 2013 (in progress).
Workshops / Conferences / Symposiums Organized
  1. One day symposium on Statistics held at Indian Statistical Institute (ISI), Chennai on 13th April 2013.
Invited Talks
  1. 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.
  2. 97th Indian Science Congress held at the University of Kerala, Thiruvananthapuram, from 3-7 January 2010.
  3. Fifth International Conference of Analytical Methods of Analysis and Di_erential Equations held at Minsk, Belarus, from 14-19 September 2009.
Contributory Talks at International Conferences
  1. International Conference on Special Functions and Their Applications (ICSFA-2011) & Symposium on Works of Ramanujan held during July 28-30, 2011 at Jodhpur.
  2. International Conference on New Trends in Life Testing, Bayesian Inference, Sampling theory, Bio-Statistics, Bio-Informatics and Computer Applications held at the Department of Statistics, Banaras Hindu University, Varanasi, India, from 5-8 January 2011.
  3. International Conference on Mathematical Sciences in Honour of Professor A. M. Mathai held at Department of Statistics St Thomas College Pala, Kerala, India from 3-5 January 2011.
Contributory Talks at National Conferences
  1. Orientation Program for UG students at The Department of Statistics, Govt. College for Women, Thiruvananthapuram on 8th August 2014.
  2. Orientation Program conducted by Indian Statistical Institute, Chennai and Farook College, at Farook College Kozhikode during 20-24 December 2013.
  3. National Conference on Advances in Statistical Theory and Applications held by Bangalore University, Bangalore during November 16-18, 2011.
  4. National Seminar on Discrete Mathematics and Computational Statistics held at the Department of Mathematics, Bishop Kurialacherry College for Women, Kottayam, Kerala, from 23-24 June 2011.
  5. National Workshop on Fractional Calculus and Statistical Distributions held at CMS Pala Campus, Kerala, from November 25-27, 2009.
  6. 14th Annual Conference of Gwalior Academy of Mathematical Sciences and a Symposium on Computational Mathematics and its Application to Engineering, Management and Biology, held at IPS College of Technology and Management, (IPS CTM) Gwalior, from 17-19 July 2009.
  7. 11th Annual Conference of the Society of Statistics, Computer and Applications held at Department of Statistics, University of Madras, from 24-26 February 2009.
  8. 96th Indian Science Congress held at NEHU, Shilong, from 3-7 January 2009.
  9. National Meet of Research Scholars in Mathematical Sciences held at IIT Kanpur, U.P., from 6-10 December 2008.
Workshops / Conferences Attended
  1. Workshop on New Directions in Probability held at Indian Statistical Institute (ISI), Bangalore, from 30th May-4th June 2013.
  2. Workshop on Heavy-tailed distributions and extreme value theory held at Indian Statistical Institute (ISI), Kolkata, from 14-17 January 2013.
  3. Workshop on Topics in Probability held at Chennai Mathematical Institute (CMI), from 18-20 December 2012.
  4. International Conference on Statistics, Probability and Related Area held at Cochin University of Science and Technology, from 19-22 December 2011.
  5. National Seminar on Stochastic Analysis, held at Cochin University of Science and Technology, from 24-25 February 2011.
  6. International Congress of Mathematicians, held at Hyderabad Central University, Hyderabad, from 19-27 August 2010.
  7. Advanced Instructional School in Weak Convergence with Applications in Statistics, held at Pune University, Pune, from 01-25 June 2010.
  8. CMS 2nd series 3rd SERC school, Matrix Variable Calculus and Statistical Distribution Theory from 12th April to14th May 2010.
  9. National Workshop on Bayesian Statistics & MCMC Methods using BUGS & R, held at St Thomas College Pala, Kerala, from 26-30 June 2009.
  10. CMS 2nd series 2nd SERC school, Model Building from 20th April to 22nd May 2009.
  11. Workshop of Advanced training in Non-convex Optimization and its Applications, held at Banaras Hindu University, Varanasi, from 22-26 March 2009.
  12. CMS 2nd series 1st SERC school, Multivariable and Matrix-Variate Calculus from 14th April-17th May 2008.
  13. Annual Conference of the Society for Special Functions and Their Applications, held at St Thomas College Pala, Kerala, from 18-20 May 2007.
  14. CMS 1st series 5th SERC school, Special Functions and Functions of Matrix Argument from 23rd April-25th May 2007.
Professional Memberships
  1. Life time member of the Indian Science Congress Association.
  2. Life time member of Society for Special Functions and Their Applications.
  3. Life time member of the Kerala Statistical Association.

 

Updated on: 05 Apr 2015