M.Sc - Statistics., Mahatma Gandhi University, Kerala, INDIA

Qualified UGC-CSIR Junior Research Fellowship in 1991

M.Phil. Title of M. Phil. Thesis : Orthogonal Parameterization and Its Application.

(Guide: Professor (Retd.) J.Sunderraja, University of Kerala)

PhD. Title of PhD Thesis : Estimation of Parameters in Additive Latent Variables Models.

(Guide: Professor (Retd.) B.K.Kale, University of Pune)

Experience in Teaching :

Associate Professor of Statistics, St.Thomas College Palai, from 06-06-1994 to 25-06-20 (26years).

Associate Professor of Statistics, Department of Statistical Sciences, Kannur University, from 26-06-2020 onwards

Experience in Research : 30 years

Ph.D.'s. Guided

1. Preethi Sara George (2005). “Log-symmetric Distributions and Their Applications”.
2. James Kurian (2008). “Some Properties and Inferential Problems related to Non-normal Symmetric Distributions with Kurtosis Three”
3. K. M. Kurian (2009). “Generalized Confidence Intervals for Process Capability Indices”.
4. Dais George (2012). “A Class of Heavy Tailed Distributions and Their Applications”.
5. Bindu P.P. (2014). “Statistical Application in Micro Array Technology and Bioinformatics”.
6. Ajitha Sasi (2018). “ Process Capability Indices for Some Non-normal Distributions and Their Applications”.
7. Ambily Jose (2020). “ Some Generalizations of Poisson Hidden Markov Model and Their Applications Epidemiological Studies”. (Submitted).
8. Jismi Mathew (2020). “ A Study on Weighted Distributions and Their Applications in Biomedical Research” (Submitted).

Probability Theory, Multivariate Statistical Methods, Statistical Inference, Statistical Quality Control, Advanced Distribution Theory, Bayesian Inference, Applications of MCMC, Bootstrap Methods and EM algorithm, Finite Mixture Regression Models , Harmonic Regression Models in Epidemiology.

1. Kale, B.K. and Sebastian, G. (1995). Approximate estimation of non-identifiable parameters in a convolution.” Statistics and Probability Letters 25 373-378.
2. Kale, B.K. and Sebastian, G. (1995) “On a class of Symmetric Non-normal Distributions with Kurtosis of Three.” Statistical Theory and Applications. Papers in Honor of H.A. David Ed. H.N.Nagaraja, P.K. Sen and D.F.Morrison, Springer, New-York. 53-62.
3. Kale, B.K. and Sebastian, G. (1992). “Estimation Functions for additive latent variable models.” Proceedings of the symposium on Statistical Inference, Centre for Mathematical Sciences, Trivandrum, Kerala. 13-33.
4. Sebastian George (1993). Effect of Truncation on Fisher Information. Proceedings of Mahalanobis Birth Centenary Symposium on Probability and Statistics. Centre for Mathematical Science, Trivandrum, Kerala. 85-92.
5. Sebastian George (1999). Estimation of Non-identifiable parameters in a Series System. STARS, 1 , 6-9.
6. Sebastian George and Kurian K.M. (2001).``On Asymptotic Variance of Sample Median as an Estimator of Location. STARS, 2, 9-14.
7. Sebastian George and Preethi Sara George (2003). Random Variate Generation from Generalized Cauchy Distribution. STARS Int. Journal 5, 8-15.
8. Sebastian George and James Kurian (2002). On Robustness of mean for Non-normal Symmetric Distributions with Kurtosis Three. Journal of Indian Statistical Association, 40(1), 71-79.
9. Sebastian George and Preethi Sara George (2004). On a Generalization of Cauchy Distribution. Journal of Indian Statistical Association, 42(1), 111-120.
10. Sebastian George and Preethi Sara George (2004). Estimation of parameters of a family of distributions characterized by the property X ₫ 1/X STARS Int. Journal, 5(2), 12-21.
11. Sebastian George and Dais George (2004). Interacting Roles of Data Mining and Statistics. STARS Int. Journal, 5(2), 1-11.
12. Seemon Thomas and Sebastian George (2004). A Review of Dirichlet Distribution and its Applications. Journal of Indian Society for Probability and Statistics, 12, 72-91.
13. Joy Jacob, Sebastian George and Mathai, A.M. (2005). Some Properties of Complex Matrix Variate Dirichlet Integrals. Proceedings in Mathematical Sciences, Indian Academy of Sciences, 115(3), 241-249.
14. Mathew, T., Kurian K.M. and Sebastian George (2007). Generalized Confidence Intervals for Process Capability Indices. Quality and Reliability Engineering International, 23, 471-481.
15. Sebastian George and Kurian K.M. (2006). Two-Sided Confidence Intervals for the Process Capability Index Cpk. Statistical Methods. Special issue, 52-60.
16. Kurain K.M, Mathew T. and Sebastian George (2008). Generalized Confidence Intervals for Process Capability Indices in One Way Random Model. Metrika, Springer Verlag, 67(1), 83-92.
17. Dais George and Sebastian George (2008). A Study on the Characteristics of Web Server Data. Proceedings of International Conference on Data Engineering and Management, Thiruchirappally, 170-173.
18. Sebastian George (2009). Markov Chain Monte-Carlo Methods. Modern Applied Statistical Methods in Statistical Softwares. Proceedings of UGC Sponsored Seminar at Nirmala College, Muvattupuzha.1-21.
19. Sebastian George and Dais George (2009). Analyzing Tail Heaviness of Web Server Data. International Journal of Web Applications, 1(4), 204-217.
20. Dais George and Sebastian George (2010). SmooWeighted Hill Estimator for the Tail Index Parameter in File Size Distribution of Web Usage Pattern. Proceedings of UGC Sponsored Seminar at Nirmala College, Muvattupuzha, 11-26.
21. Dais George and Sebastian George (2011). Applications of Esscher Transformed Laplace Distribution in Web Server Data. Journal of Digital Information Management, 9(1), 19-26.
22. Dais George, Pit Pichappan and Sebastian George (2011). Generalized Confidence Interval for R = P(X > Y) of Pareto Distribution and Its Application in Web Performance. Proceedings of the 4th International Conference on the Application of Digital Information and Web Technologies. Co-sponsored by IEEE Communication Society, held at USA, 12-14.
23. Dais George and Sebastian George (2011). Reliability Estimation in Heavy Tailed Distribution Using a Robust Estimator. Proceedings of the IEEE International Conference on Quality and Reliability held at Bangok, Thailand, 14-16 September 2011. Pp 481-485.
24. Bindu P., Sebastian George and Kannan V. M. (2011). Statistical Techniques for Microarray Technology. Journal of Informatics and Mathematical Sciences, 3(3), 257-275.
25. Dais George and Sebastian George (2013). Marshall-Olkin Esscher Transformed Laplace Distributions and Its Applications. Brazilian Journal of Probability and Statistics, 27(2) 162-184.
26. Dais George, Pit Pichappan and Sebastian George (2011). Application of Generalized Confidence Interval in the Study of Web Server Performance. International Journal of Web Application. 3(2), 138-151.
27. Sebastian George and Dais George (2012). Esscher Transformed Laplace Distribution and Its Applications. Journal of Probability and Statistical Science. 10(2), 135-152.
28. Bindu P., Sangita Kulathinal and Sebastian George (2012). Asymmetric type II compound Laplace distribution and its application to microarray gene expression. Computational Statistics and Data Analysis, 56, 1396-1404.
29. Bindu P. and Sebastian George (2012). A New family of skew Slash Logistic Distributions. Journal of Applied Statistical Sciences, 19(3), 9-16.
30. Bindu P., Sebastian George and Kannan V. M. (2013). Statistical methods for identifying differentially expressed genes in microarray data. International Journal of Scientific & Engineering Research, 4 ( 9), 1405-1409.
31. Devika, S., Jeyaseelan, L., Sebastian G. and Geevar Zacharia (2014). Analysis strategy for comparison of skewed outcomes from biological data: A recent development. Annals of Biological Research. 5 (12), 16-20.
32. Devika, S., Sebastian G. and Jeyaseelan, L. (2016). Application of Esscher transformed Laplace distribution in micro-array gene expression data. Journal of Modern Applied Statistics. 15 (1), 616-634.
33. Devika, S., Jeyaseelan, L. and Sebastian G. (2016). Analysis of sparse data in logistic regression in medical research: A newer approach. Journal of Postgraduate Medicine, 62, 26-31 .
34. Saravana Kumar, V., Devika, S., Sebastian, G., and Jeyaseelan, L. (2017). Spatial mapping of acute diarrheal disease using GIS and estimation of relative risk using empirical Bayes approach. Clinical Epidemiology and Global Health., 5 87–96. Available online at www.sciencedirect.com.
35. Sebastian George and Ajitha Sasi (2017). Bootstrap lower confidence limits of superstructure process capability indices for Esscher-transformed Laplace distribution. Stochastics and Quality Control. 32 ( 2), 87-98.
36. Tunny S., Visalakshi J., Jeyaseelan L., Shalini A., Sebastian George and Shrikant I. Bangdiwala (2018). Decoding and modelling of time series count data using Poisson hidden Markov model and Markov ordinal logistic regression models. Statistical Methods in Medical Research.. Available online at http://journals.sagepub.com/eprint/g5hz79ZweX78xbHj3bQi/full
37. Kavitha R. , Thenmozhi, M. , Sebastian George , Shalini A. , Balaji ,V. , Elena N. Naumova and Jeyaseelan, L. (2020). Assessing seasonality variation with harmonic regression: Accommodations for sharp peaks. International Journal of Environmental Research and Public Health. 17(4), 1318
38. Ambily Jose and Sebastian George (2019). Modelling over dispersed data due to excess zero using hidden Markov model. Think India Journal, 22(14), 9351-9357.
39. Sebastian George and Ambily Jose (2020). Generalized Poisson hidden Markov model for over-dispersed and under-dispersed count data. Revista Colombiana de Estadística, 43(1), 63-73.
40. Ambily Jose, Tuny Sebastian and Sebastian George (2020). Modelling time series of count data using hidden Markov models. Stochastic Modelling and Applications. 24(1), 25-33.
41. Jismi Mathew and Sebastian George (2020). Length biased exponential distribution as areliability model: a Bayesian approach. Reliability Theory and Applications. 3(58), 84 - 91.