Clear Cache
Dr. Mahesh Kumar
Dr. Mahesh Kumar
Associate Professor
Office Address:
Associate Professor, Department of Mathematics, 1st Floor, Room # 212, New Building, East Campus, National Institute of Technology (NIT) Calicut, 673 601 India.
B.Sc. (Computer Science)-Mangalore University.
M.Sc. (Mathematics)-Mangalore University.
Ph.D. (Applied Statistics) -Indian Institute of Technology, Bombay (IITB).
Journals
Some Important Publications (List of papers published/under review in Q1/SCI/ Scopus/Web of Science Journals in year wise descending order).
- Mahesh Kumar, T. Tamil Selvan. (2026). Chapter 6 - Stochastic analysis of epidemic models under random perturbations: Application to SIR and SIRS dual epidemics, Editor(s): Sayooj Aby Jose, C.R. Jisha, Olfa Boubaker, Mathematical Modeling and AI-Driven Computational Techniques for Epidemiology and Disease Dynamics,Academic Press,2026, Pages 143-179, ISBN 9780443332340, https://doi.org/10.1016/B978-0-44-333234-0.00016-9
- Selvan, T.T. and Kumar, M. (2026). Stochastic Co-Infection Dynamics in a Double Epidemic Model with Distinct Transmission Mechanisms and Lévy Jumps. Stoch Environ Res Risk Assess 40, 97 (2026). https://doi.org/10.1007/s00477-026-03220-3
- Aswathi, K.P., Kumar, M. Reliability Estimation for Lomax Distribution based on Block Progressive Type-II Censoring Methodology. Stat Comput 36, 82 (2026). https://doi.org/10.1007/s11222-026-10836-6
- Kumar, M. and Mathai,A.M. (2026). Design of Variable Acceptance Sampling Plan for Exponential Distribution under Uncertainty. International Journal of Productivity and Quality Management. DOI: 10.1504/IJPQM.2025.10070173.
- Selvan, T.T. and Kumar, M. (2026). Unraveling Co-Infection Dynamics: A Stochastic Model with SIR and SIRS Transmission Mechanisms Under Noise. (Under review)
- Selvan, T.T. and Kumar, M. (2026). A Stochastic Double Epidemic Model with Lévy Jumps: Analyzing the Dynamics of Co-Circulating Diseases (Under review)
- Sruthi, K. and Kumar, M., 2026. Fuzzy Reliability Estimation Within a Stress-Strength Framework Incorporating Distortion Functions. Journal of Reliability and Statistical Studies, pp.43-64.
- Mathai, A.M. and Kumar, M. (2025). Optimal Variable Acceptance Sampling Plan under Progressive Type-II Censoring for Mixture Distribution: Applications in Breast Cancer Data. Austrian Journal of Statistics- https://doi.org/10.21203/rs.3.rs-3957711/v1.
- Mathai, A. M., Kumar, M, J. T. Thomas (2025). Optimal variable acceptance sampling plans based on decision tree method: A bayesian approach under Type II censoring, Brazilian Journal of Probability and Statistics, 39 (1), 134-149.
- Mathai, A.M. and Kumar, M. (2026). Design of Reliability Acceptance Sampling Plan for Multistage Production Process Based on Accelerated Life Testing. Probability and Mathematical Statistics (Under review)
- Kumar, M. and Aswathi, K.P. (2024). Exponentiated Weibull distribution: Bayesian estimation using progressive type I interval censoring. Reliability Theory & Applications (RT&A), 19(1), March 2024.
- Sruthi, K and Kumar, M., (2025). Reliability estimation of a system based on the stress-strength model using a weibull distribution. Reliability: Theory & applications, 20(4 (89)), pp.285-295.
- Thomas, J.T. and Kumar, M. (2025). Design of optimal acceptance sampling plans for post- production quality control of pharmaceuticals. Statistics in Biosciences (Under Review)
- Selvan, T.T. and Kumar, M. (2024). Stationary distribution of a double epidemic stochastic model driven by saturated incidence rates. Applied Mathematics and Computation, 474, 128697. https://doi.org/10.1016/j.amc.2024.128697
- Selvan, T.T. and Kumar, M. (2024). Dynamics of a variable perturbed double epidemic stochastic model with saturated incidence rates. Mathematical Methods in the Applied Sciences (Revised)
- Kumar, M., and K. P. Aswathi. (2024). "Exponentiated Weibull distribution: Bayesian estimation using progressive type i interval censoring." Reliability: Theory & applications 19.1 (77) (2024): 342-359.
- Mathai, A.M. and Kumar, M. (2024). Optimal variable acceptance sampling plan for exponential distribution using Bayesian estimate under Type I hybrid censoring. Hacettepe Journal of Mathematics & Statistics, Volume 53(4) (2024), 1178–1195 DOI : 10.15672/hujms.135534.
- J.T. Thomas, M Kumar (2024)Optimal inventory economic order quantity model for inventory system with imperfect inspection processes. International Journal of Mathematics in Operational Research 28 (2), 195-208
- Sruthi, K., and M. Kumar. (2024). Reliability estimation of stress-strength model using fuzzydistortion function under uncertainty in environmental factors. Reliability: Theory & Applications 19.3(79) 380-392.
- Selvan, T.T. and Kumar, M. (2023). Dynamics of a deterministic and a stochastic epidemic model combined with two distinct transmission mechanisms and saturated incidence rate. Physica A, 619, 128741. https://doi.org/10.1016/j.physa.2023.128741
- Selvan, T.T. and Kumar, M. (2023). Analysis of a stochastic epidemic model driven by bilinear incidence rate with two different transmission mechanisms. The Journal of Analysis. https://doi.org/10.1007/s41478-023-00665-5
- Mathai, A.M. and Kumar, M. (2023). Some inferences on mixture of exponential and Rayleigh distributions based on fuzzy data. International Journal of Quality and Reliability Management. https://doi.org/10.1108/IJQRM-10-2022-0300
- Sruthi, K. and Kumar, M. (2023). Reliability estimation of parallel repairable system under uncertainty in lifetime data. Stochastic and Quality Control, 38(1), 1–9.
- J.T. Thomas, M Kumar (2023). Design of generalized fuzzy multiple deferred state sampling plan for attributes. Journal of Intelligent & Fuzzy Systems 45 (4), 6785-6796
- J.T. Thomas, M Kumar (2023)Optimal Bayesian generalized multiple-dependent state sampling plan for attributes. Journal of Statistical Computation and Simulation 94 (5), 1073-1096
- J.T. Thomas, M Kumar(2023) Cost optimization of acceptance sampling plan in a fuzzysupply chain environment. International Journal of Quality & Reliability Management 41 (3), 901- 914
- J.T. Thomas, M Kumar (2023) An optimal Bayesian acceptance sampling plan using decision tree method International Journal of Applied Management Science 15 (4), 311-325
- J.T. Thomas, M Kumar (2022) Design of fuzzy economic order quantity (EOQ) model in the presence of inspection errors in single sampling plans. Journal of Reliability and Statistical Studies 15 (1), 211–228.
- M. Kumar and P.C. Ramyamol (2021). Construction of minimum cost reliability acceptance sampling plans for mult-stage process, Journal of industrial and production engineering. DOI: 10.1080/21681015.2021.1992801 (Scopus)
- K. C. Siju, M. Kumar, and M. Beer (2020). Classical and Bayesian estimation of strength reliability of a component having multiple states, International Journal of Quality & Reliability Management, Emerald Publishing Limited, 0265-671X DOI 10.1108/IJQRM-01-2020- 0009.(Scopus)
- K. C. Siju and M. Kumar (2020). System reliability computation and estimation based on a cumulative damage–thres hold–shock model. International Journal of Quality & Reliability Management, Emerald Publishing Limited. 0265-671X DOI 10.1108/IJQRM-11- 2018-0309. (Scopus)
- M. Kumar, P. N. Bajeel, O.P. Yadav, and K. C. Siju (2020). Application of degradation growth model in the estimation of bayesian system reliability, Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2020.1828919. (SCI)
- P.C. Ramyamol and M. Kumar (2020). Optimal reliability acceptance sampling plan based on accelerated life test data. Int. J. Productivity and Quality Management, Vol. 30, No. 3, 354-370. (Scopus)
- M. Kumar and P. C. Ramyamol (2019). Optimal design of reliability acceptance sampling plan based on sequential order statistics. Stochastics and Quality Control, https://doi.org/10.1515/eqc- 2019-0012. (Scopus)
- M.Kumar and P. C. Ramyamol (2019). Optimal Design of Reliability Acceptance Test Plan Based on Data Obtained from Partially Accelerated Life Test (PALT). Int. J. Reliability, Quality and Safety Engineering, DOI: 10.1142/S0218539320400021. (Scopus)
- M. Kumar and K.C. Siju (2019). Statistical inference of stress-strength reliability of a parallel system with mixed standby components. Int. J. Reliability, Quality and Safety Engineering Vol. 26, No. 6, DOI: 10.1142/S021853931950030X. (Scopus)
- P.C. Ramyamol and M. Kumar (2019). Optimal design of variable acceptance sampling plans for mixture distribution, Journal of Applied Statistics, https://doi.org/10.1080/02664763.2019.1610162. (SCI)
- K.C. Siju and M. Kumar (2018). Bayesian estimation of reliability using time-to-failure distribution of parametric degradation models. Journal of Statistical Computation and Simulation. https://doi.org/10.1080/00949655.2018.1445743. Vol. 88, NO. 9, 1717–1748. (SCI)
- M. Kumar and P. N. Bajeel (2018). Design of component reliability test plan for a series system having time dependent testing cost with the presence of covariates. Computational Statistics, DOI 10.1007/s00180-017-0758-7, Vol. 33: 1267-1292. (SCI)
- K.C. Siju and M. Kumar (2017). Estimation of stress-strength reliability of a parallel system with active, warm and cold standby components. Journal of Industrial and Production Engineering. Vol. 34 (8), 590–610, https://doi.org/10.1080/21681015.2017.1314983. (Scopus)
- K.C. Siju and M. Kumar (2017). Reliability Computation of a Dynamic Stress-Strength Model with Random Cycle Times. International Journal of Pure and Applied Mathematics. Vol. 117 No. 12, 309-316. (Scopus)
- P. N. Bajeel and M. Kumar (2017). Reliability test plan for a series system with variable failure rates. Int. J. Quality and Reliability Management. Vol. 34 Issue: 6, pp.849-861, doi: 10.1108/IJQRM-07-2016-0104. (Scopus)
- M. Kumar and K. C. Siju (2016). System reliability estimation and cost analysis of series- parallel systems in the presence of repair dependence function. Int. Journal of Reliability and Safety. Vol. 10(1), 48-71. (Scopus)
- K. C. Siju and M. Kumar (2016). Reliability analysis of time dependent stress-strength model with random cycle time. Perspective in Science. Vol 8, 654-657. (Scopus)
- P. N. Bajeel and M. Kumar (2016). Design of Optimal Bayesian reliability test plans for a series system. Int. J of Pure and Applied Mathematics. Vol. 109 No. 9, 125-133. (Scopus)
- M. Kumar and P. C. Ramyamol (2016). Design of optimal reliability acceptance sampling plans for exponential distribution. Journal of Stochastic and Quality Control. Vol. 31, No.1 (2016), 23-36. (Scopus)
- K.C. Siju and M. Kumar (2015). Reliability measures and cost analysis of parallel systems with time dependent failure rates in the presence of failure dependence function.
- International Journal of Statistics and Reliability Engineering. Vol. 2(1) (2015), (ISSN:2350- 0174), 41-58. (Indian Association for Reliability and Statistics). (Scopus)
- P.N. Bajeel and M. Kumar (2015). A component reliability test plan for parallel system with failure rate as exponential function of covariates. International Journal of Mathematics in Engineering Science and Aerospace, Vol 6, No. 2, 177-191. (Non-linear studies, CSI, Cambridge, UK). (Scopus)
- M. Kumar and P. Amrutha (2013). An optimal design of reliability test plans for a parallel system using integer programming. International Journal of Engineering Research and Technology, ISSN:2278-0181 Vol 2, Issue 10, 631-641. (Scopus)
- P. Vellaisamy and M. Kumar (2008). Optimal component test plans for a parallel system based on Type-II censoring. Statistical Methodology, Vol 5 (2008), 454-462. (SCI)
- P. Vellaisamy and M. Kumar (2010). Design of optimal reliability test plans for a series system based on mixed- censoring. Journal of Applied Statistical Science, Vol 17, Issue 4 (2010), 1-10. (Nova, USA). (SCI).
- M. Kumar (2007). A study of Bayesian reliability test plans for a series system based on Type- II censoring, Caledonian Journal of Engineering. Vol 3, Issue 1, Jan-June 2007. (Scopus)
- Sruthi, K. and Kumar, M. (2026). Fuzzy system reliability estimation in a stress-strength model under the presence of distortion function. Jordan Journal of Mathematics and Statistics (Under review)
- Sruthi, K. and Kumar, M. (2026). Reliability estimation of a system in a stress-strength model using exponentiated Weibull distribution. Stochastic and Quality Control (Revised).
- Vig, S. and Kumar, M. (2025). A hybrid complementary ensemble empirical mode decomposition with adaptive noise and Bayesian Autoregressive model for Indian stock market forecasting. (Communicated)
- Vig, S. and Kumar, M. (2025). A robust forecasting framework for AR(1) dynamic linear models under structured perturbations: Application to environmental time series. (Communicated) using exponentiated Weibull distribution. Stochastic and Quality Control (Under Review)
Conferences
- K. Sruthi and M. Kumar (2021). Fuzzy reliability estimation of a repairable system based on data with uncertainty. American Institute of Physics (AIP) Conference Proceedings 2336, 040011 (2021); https://doi.org/10.1063/5.0046092.
- P. N. Bajeel and M. Kumar (2021). Design of optimal Bayesian reliability test plans for a parallel system based on type-ii censoring. Proceedings of the Sixth Internationa Conference on Mathematics and Computing, Advances in Intelligent Systems and Computing1262, https://doi.org/10.1007/978-981-15-8061-1-39.
- M. Kumar and P. C. Ramyamol (2019). Reliability acceptance sampling plan for weighted exponential distribution based on constant stress accelerated data. Proceedings of the 29th European Safety and Reliability Conference. Edited by Michael Beer and Enrico Zio Copyright c 2019 by ESREL2019 Organizers. Published by Research Publishing, Singapore ISBN: 981-973-0000-00-0 :: doi: 10.3850/981-973-0000-00-0.
- P. N. Bajeel and M. Kumar (2015). A study of component reliability test plans for a parallel system with components having failure rate as a function of covariates, Proceedings of National Conference on Emerging Trends in Statistical Research: Issues and Challenges: Feb 16-17, 2015, held at Department of Statistics, Pondicherry University.
- K.C. Siju and M. Kumar (2015). Multistate system reliability, availability estimation and cost analysis in the presence of repair dependence function, Proceedings of 3rd nationa conference on frontiers in applied sciences and computer technology (FACT 15), Vol 3, March 6-7, 2015.
- M. Kumar and P. C. Ramyamol (2015). Reliability acceptence sampling plan for exponential distribution based on time between successive failures, Proceedings of 3rd national conference on frontiers in applied sciences and computer technology (FACT 15), Vol 3, March 6-7, 2015.
- P. N. Bajeel and M. Kumar (2014). Design of optimal reliability test plans for a series system in the presence of covariates, Proceedings of international conference on Advances in Applied Probability, Grapgh Theory and Fuzzy Mathematics, Jan 11-14, 2014, (ISBN: 978- 93-5174-243-2) Kochi, Kerala, India.
- K. C. Siju and M. Kumar (2014). The effect of the dependance classes of repair dependence function on the availability and reliability of an n component parallel system, Proceedings of international conference on Advances in Applied Probability, Grapgh Theory and Fuzzy Mathematics, Jan 11-14, 2014, (ISBN: 978-93-5174-243-2) Kochi, Kerala, India.
Papers Presented in National/International Conferences
|
S. N. |
Title of the Paper |
Author(s) |
Name of the Conference |
Venue & Date |
|
1 |
Design of optimal reliability test plans for a series system in the presence of covariates. |
M. Kumar and P.N. Bajeel |
Proceedings of International conference on Advances in Applied Probability, Grapgh Theory and Fuzzy |
Jan 11-14 (ISBN: 978- 93-5174-243- 2) 2014, KOCHI. |
|
2 |
A component reliability test plans for a parallel system with failure rates as the exponential function of covariates. |
M. Kumar and P.N. Bajeel |
National conference on Recent trends and developments in statistics (NCRTDS). |
M.D UNIVERSITY ROHTAK, Feb 21-23, 2015. |
|
3 |
Reliability, availability estimation and cost analysis of parallel systems with time dependent failure rates in the presence of repair dependent function |
M. Kumar and Siju K C |
National conference on Recent trends and developments in statistics (NCRTDS) |
Feb 21-23, 2015, at M D UNIVERSITY ROHTAK, India |
|
4. |
Multistate system reliability, availability estimation and cost analysis in the presence of repair dependence function |
Siju K C and M. Kumar |
Proceedings of 3rd national conference on frontiers in applied sciences and computer technology (FACT 15) |
Vol 3, March 6-7, 2015, NIT TRICHY. |
|
5. |
Reliability acceptance sampling plan for exponential distribution based on time between successive failures |
M. Kumar and Ramyamol P C |
Proceedings of 3rd national conference on frontiers in applied sciences and computer technology (FACT 15) |
Vol 3, March 6-7, 2015, NIT TRICHY. |
|
6. |
The effect of the dependence classes of repair dependence function on the availability and reliability of an n component parallel system,. |
Siju K C and M. Kumar |
Proceedings of international conference on Advances in Applied Probability, Grapgh Theory and Fuzzy Mathematics |
Jan 11-14, 2014, (ISBN: 978-93-5174- 243-2) KOCHI, Kerala, India. |
|
7 |
Zero failure Bayesian reliability for safety critical systems |
M. Kumar and Aby Subhash |
International Conference on Mathematical Sciences |
Dec 28-31, 2012, at NAGPUR, Maharashtra State, India. |
|
8 |
Optimal reliability test plan for a parallel system with covariate information |
P. N. Bajeel and M. Kumar |
Proceedings of National Conference on Emerging Trends in Statistical Research: Issues and Challenges |
16-17 Feb 2015, Department of Statistics, Pondicherry University, |
|
9 |
Optimal Acceptance sampling plan for multistage process under type II censoring |
M. Kumar and Ramyamol P C |
Proceedings of International conference on recent trends in engineering and material sciences- ICEMS 2016 (Jaipur national university). |
March 17-19, 2016, Jaipur National University |
Professional Experience
-
1996- 2000: Faculty, Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka (NITK) Surathkal, (Formerly known as Karnataka Regional Engineering College (KREC)), India.
-
2001- 2006: Research Scholar, Department of Mathematics, IIT Bombay, India.
-
2007-2009: Asst Professor, Department of Mathematics and Statistics, Glasgow Caledonian University, Campus Muscat, Scotland (UK).
-
Jan 2010- March 2010: Visiting Asst Professor, Department of Mathematics and Statistics, Banasthali University, Consultant Statistician in Mumbai.
-
April 2010- 3rd July 2022 : Asst Professor, Department of Mathematics, NIT Calicut, India.
-
4th July 2022-Present, Associate Professor, Dept Mathematics, NIT Calicut
Research Contributions
-
Completed the core project granted (CRG) from DST SERB on Design of optimal reliability acceptance sampling plans based on multi-stage process, inliers, and accelerated tests- (3 years), DST (SERB) Govt. of India.- Completed (2018-2021)
-
Completed a sponsored project received as Faculty Research Grant (FRG) of 5 lakh to conduct research in Bayesian Reliability Estimation, Prediction and Design of Test Plans for 3 years from NIT Calicut, India.
Educational Qualifications
-
B.Sc. (Computer Science)-Mangalore University.
-
M.Sc. (Mathematics)-Mangalore University.
-
Ph.D. (Applied Statistics) -Indian Institute of Technology, Bombay (IITB).
Administrative responsibility
Served as Warden C Hostel
Served as Warden F Hostel
Served as the Head of the Department of Mathematics from Feb 2023 to Feb 2025.
Coordinated a training programme on " Business Statistics and Predictive Analytics" for Arbitron Technology Services India, Pvt Ltd., Kochi, during 7th-9th January 2012, in Department of Mathematics, NITC.
Conference, Workshop Organization
Organized an 8-th International Conference and Instructional Workshop on Matrix Analytic Methods in Stochastic Models, during Jan 6-10, 2014 (With Dr. M.J. Jacob and Dr. Jessy John C, Department of Mathematics, NIT Calicut)
Organized One Day Workshop on Six Sigma and Its Applications in Quality Improvement, on 1st November 2016 at Department of Mathematics, NIT Calicut (Resource person: Prof. K. Muralidharan, Master Black Belt in Six Sigma, M.S. University of Baroda, Vadodara)
Ph.D. Thesis Supervised
|
1 |
Ms. Siju K C. Contributions to Reliability Computation and Estimation of Multi-component Systems. |
Awarded -2018 |
|
2 |
Mr. Bajeel P N. Some Contributions to Optimal Reliability Test Plans and Estimation |
Awarded- 2019 |
|
3 |
Ms. Ramyamol P C. Some Contributions to Optimal Design of Reliability Acceptance Sampling Plans |
Awarded- 2019 |
|
4 |
Ms. Julia T Thomas -Some Contributions to Design of Optimal Acceptance Sampling Plans for Attributes |
Awarded- 2024 |
|
5 |
Ms. Ashlyn Maria Mathai- Some Contributions to Optimal Design of Acceptance Sampling Plans for Variables |
Awarded -2025 |
|
6 |
Mr. Tamil Selvan T - Some Contributions to Stochastic Modelling and Analysis of Infectious Diseases: A Study of Double Epidemic Dynamics. |
Awarded-2025 |
|
7 |
Ms. Sruthi K- Some Contributions to Fuzzy Reliability Estimation and Analysis of Multi-Component Systems |
Awarded-2026 |
|
8 |
Ms. Aswathi K P- Applied Statistical Inference: Some estimation problems. |
Ongoing |
|
9 |
Mr Sahil Vig-Financial mathematics and stock market risk analysis |
On going |
Faculty Development Programmes
Year Student Title of Ph.D. Thesis
--------------------------------------------------------------------------------------------------------------------------------------------------------
Coordinated MHRD-AICTE sponsored Faculty Development Programme on "Advances in Numerical and Statistical Techniques for Engineers (ANSTE-2011) " during 30th May to 3rd June 2011.
|
S.No. |
Title |
Author’s Name |
Publisher |
Year of Publication |
|
1 |
Optimal Design of Reliability Acceptance Sampling Plan for Multi- stage Production Process |
Dr. Mahesh Kumar |
Springer |
2021 |
|
2 |
Design of Reliability Acceptance Sampling Plans Under Partially Accelerated Life Test |
Dr. Mahesh Kumar |
Springer |
2020 |
|
3
|
Introduction to System Reliability Evaluation through Bayesian Approach - Book Chapter in the book, Mathematical Concepts and Application in Mechanical Engineering and Machatronics.
|
Dr. Mahesh Kumar and Mr. Bajeel P N
|
IGI Global Publishers, USA. (Scopus indexed)
|
2016
|
|
4 |
Chapter 6 - Stochastic analysis of epidemic models under random perturbations: Application to SIR and SIRS dual epidemics, Editor(s): Sayooj Aby Jose, C.R. Jisha, Olfa Boubaker, Mathematical Modeling and AI-Driven Computational Techniques for Epidemiology and Disease Dynamics. |
Dr. Mahesh Kumar and Tamil Selvan T |
Academic Press,2026, Pages 143-179, ISBN 9780443332340, https://doi.org/10.1016/B978-0-44-333234-0.00016-9 (SCI indexed). |
2026 |
|
5. |
Inventory Management using Fuzzy Random variables, Applications of Fuzzy Theory in Applied Sciences and Computer Applications. |
Dr. Julia T Thomas and Dr. Mahesh Kumar |
Nova Science Publishers, USA, 131-136. DOI: 10.52305/LWCM615 |
2025 |
1. Reliability acceptance sampling plan for weighted exponential distribution based on constant stress accelerated data, In 29th European Safety and Reliability Conference, held in Leibnitz University, Germany (2019).
2. Optimal design of acceptance sampling plans for mixture distribution: Delivered in First IEEE International Conference on Computational and Mathematical Methods in Engineering and Technology (iCOMET 2017) held at Royal Melbourne Institute of Technology University (RMITU), Melbourne, Australia during 18-20 December 2017.
3. Interval and point estimation of parameters of some probability distributions: Delivered in TEQIP sponsored FDP on Probability and random process, conducted at COE Charthala, during 01-02, Feb 2017.
4. System Reliability Theory and Some Modeling Methods: Delivered in the workshop on "Uncertainty and Reliability," during Dec 16-Dec 18, 2010, organized by Indian Institute of Technology (IIT) Rajasthan.
5. Some Techniques of Multivariate Analysis- A Glimpse: Delivered in the workshop on " Research Methodology" during April 4-5, 2011, organized by Department of Mechanical Engineering, NIT Calicut.
6. Industrial Application of Bayesian Methodology in Reliability Evaluation: Delivered in Faculty Development Programme on "Advances in Numerical and Statistical Techniques for Engineers (ANSTE-2011)" during 30th May -3rd June 2011, organized by Department of Mathematics, NIT Calicut.
7. Multivariate Data Analysis- A Glimpse: Delivered in the Faculty Development Programme on "Multivariate Data Analysis for Management Research" during July 18-22, 2011, organized by Department of Mechanical Engineering, NIT Calicut.
8. Estimation Problems, Linear and Multiple Regressions: Delivered in Training Programme for Arbitron Technology Services Kochi, India, Pvt. Ltd., during Jan 7-8, 2012, organized by Department of Mathematics, NIT Calicut.
|
1 |
Estimation and Analysis of School Dropouts Using Survival Analysis Approach |
2026 |
|||||
|
2 |
Study and analysis of agricultural experimental data using design of experiments. |
2025 |
|||||
|
3 |
Applications of time series and machine learning methodologies in the analysis of financial market data |
2025 |
|||||
|
4 |
A Study on Generalized Hybrid Censored Reliability Acceptance Sampling Plans for Some Exponential Family of Distributions |
2021 |
|||||
|
5 |
Estimation of P(X |
2020 |
|||||
|
6 |
Computation of system reliability using servival signature. |
2019 |
|||||
|
7 |
Construction of economic reliability acceptance plans from truncated life test data |
2017 |
|||||
|
8 |
MCA final project evaluation: Title of the thesis: Wedding Planning platform (Vendor Module) |
2017 |
|||||
|
9 |
MCA final project evaluation: Title of the thesis: Wedding Planning platform (customer Module) |
2017 |
|||||
|
10 |
A study of reliability acceptance sampling plan for assessing the quality of lots |
2016 |
|||||
|
11 |
Bayesian confidence intervals for means and variances of Normal and Bivariate normal distributions |
2014 |
|||||
|
12 |
Study of cronbach’s alpha reliability coefficient for likert- type scales |
2013 |
|||||
|
13 |
Regression approach complex systems |
for |
modeling |
the |
reliability |
of |
2012 |
|
14 |
Zero failure Baysian reliability of systems |
2012 |
|||||
|
15 |
Some topics in reliability estimation and comparison |
2011 |
|||||
Differential Equations
Partial Differential Equations
Complex Analysis
Linear Algebra
Numerical Analysis
Optimization Techniques
Operation Research
MA1001 (Mathematics I),
MA2001D (Mathematics III)
MA 6004D (Applied Probability and Statistics)
MA7373 (Reliability of Systems)
M1002D (Mathematics II)
MA2002D-Mathematics IV.
Statistical Inference in Epidemiology Models, Modelling Epidemic diseases, Bayesian Reliability of Systems, Generalized Linear Models, Stochastic, Programming, Reliability Modeling and Designs, Multivariate Data Analysis Techniques, Fuzzy Sets and Optimization, Acceptance Sampling Plans, Accelerated life testing, and Financial Mathematics, Stochastic PDE and Bio- Statistics.
Professional Recognition/ Award/ Prize/ Certificate, Fellowship received by the applicant:
Qualified National level GATE test in the year 2000 with all India 20th rank.
Life member of ISTE India.
Training Programmes for Industry
Coordinated a training programme on " Business Statistics and Predictive Analytics" for Arbitron Technology Services India, Pvt Ltd., Kochi, during 7th-9th January 2012, in Department of Mathematics, NITC.
UK, USA, Germany, Australia, Netherlands, Slovenia, Singapore, Malaysia, Thailand, UAE, Saudi Arabia, Oman, and Nepal.