I broadly work on Applied Statistics and Probability area. More specifically:

• Statistical Inference
• Design and Analysis of Cluster Randomized Trials
• Longitudinal Study
• Reliability Theory, Maintenance Policies
• Survival Analysis
• Theory of Majorization and Stochastic Orderings

• Assistant Professor 
  Aug, 2022 – Present
  School of Data Science, Indian Institute of Science Education and Research, Thiruvananthapuram
• Post-Doctoral Fellow
  Feb, 2020 – Aug, 2022
  Department of Mathematics, Indian Institute of Technology Bombay
• PhD - 2020
  Indian Institute of Engineering Science and Technology, Shibpur
  Thesis entitled “Some Contributions to Probabilistic and Inferential Aspects of Reliability Theory”.
• M.Sc. (Applied Mathematics) - 2012 - 2014
  Indian Institute of Engineering Science and Technology, Shibpur
• B.Sc. (Hons.) (Mathematics) - 2009 - 2012
  Scottish Church College, Kolkata under University of Calcutta

• SERB – Start-up Research Grant (SRG) 2023
• Excelent teaching recognition (Varsha 2022- Vasanth 2023, Varsha 2023- Vasanth 2024) from IISER Thiruvananthapuram
• DST-INSPIRE Fellowship
  April, 2015 - Feb, 2020
• DST-INSPIRE Scholarship (for both UG & PG)
  2009-2014
• Qualified CSIR-NET (CSIR JRF), GATE, SET (West Bengal) in Mathematics. Also qualified JAM in Mathematics and Computer Science.

• I am a member of the International Indian Statistical Association (IISA).
• I am also a member of Asian and Oceanian Women in Mathematics (AOWM) under the Committee for Women in Mathematics (CWM), International Mathematical Union (IMU).

• Survival Analysis (DSC 4101, DSC 6108) ---- Vasanth 2025
• Mathematical Foundations for Data Science (DSC 212) ---- Varsha 2024
• Mathematical Statistics  (DSC 311, MAT/MSM 315) ---- Varsha 2023,  Varsha 2024
• Probability Theory and Stochastic Processes  (MAT/MSM 325) ---- Vasanth 2023, Vasanth 2024
• Gambler's Ruin Problem (DSC 423) ---- Vasanth 2024
• Data Science Lab-I (DSC 317)  ----  Varsha 2022

• Majumder, P., Mukhopadhyay, S., Wang, B., Ghosh, S. (2025). Sample size determinations in four-level longitudinal cluster randomized trials with random slope. Statistical Methods in Medical Research. (Accepted)

• Varghese A A, Ameen Mahmood K, Sarkar S, Ghosh S, and Majumder P.  (2025). On stochastic comparisons of alpha-mixture models with location-scale family of distributions. Statistics. (Accepted)

• Sabnis, S., Majumder, P. and Ghosh, S. (2023). Bounds for joint probabilities of multistate systems using preservation of log-concavity. Naval Research Logistics, https://doi.org/10.1002/nav.22149.
• Bhakta, R., Majumder, P., Kayal, S. and Balakrishnan, N. (2023). Stochastic comparisons of two finite mixtures of general family of distributions. Metrika, https://doi.org/10.1007/s00184-023-00930.
• Ghosh, S., Mukhopadhyay, S., Majumder, P. and Wang, B. (2022). Statistical power and sample size requirements to detect an intervention by time interaction in four level longitudinal cluster randomized trials. Statistics in Medicine, 41(14):2542-2556.
• Ghosh, S. and Majumder, P. (2022). A moment inequality for decreasing mean time to failure distributions with hypothesis testing application. Journal of Statistical Computation and Simulation, DOI: https://doi.org/10.1080/00949655.2022.2051172
• Majumder, P. and Mitra, M. (2021). Detecting trend change in hazard functions--an L-statistic approach. Statistical Papers, 62:31-52.
• Ghosh, S., Majumder, P. and Mitra, M. (2021). Stochastic comparisons of systems with heterogeneous log-logistic components. Applied Advanced Analytics, pp 157-173. Springer Proceedings in Business and Economics. Springer, Singapore.
• Majumder, P., Ghosh, S. and Mitra, M. (2020). Ordering results of extreme order statistics from heterogeneous Gompertz-Makeham random variables. Statistics, 54(3):595-617.
• Bhuyan, P., Ghosh, S., Majumder, P., and Mitra, M. (2020). A bivariate life distribution with negative dependence. STAT, DOI: 10.1002/sta4.276
• Majumder, P. and Mitra, M. (2020). On a class exhibiting trend change in average failure rate. Communications in Statistics- Theory and Methods, 49(8):1975-1988.
• Majumder, P. and Mitra, M. (2019). A test for detecting Laplace order dominance and related Bahadur efficiency issues. Statistical Papers, 60:1921-1937.
• Majumder, P. and Mitra, M. (2019). A test of exponentiality against M alternatives. Journal of Nonparametric Statistics, 31(3):794-812.
• Majumder, P. and Mitra, M. (2018). On the non-monotonic analogue of a class based onhazard rate order. Statistics and Probability Letters, 139:135-140.

• PhD

1. Geethu Rajan (M.Sc. in Mathematics, IISER TVM)

2. Medha P Sharma  (M.Sc. in Statistics, University of Kerala)

3. Satish Pradhan  (M.Sc. in Mathematics, VNIT Nagpur)

• Master's Project Students

1. Saptak Das (M.Sc. in Mathematics) [2023]

He had done two research works from his master's thesis which he presented as posters at IEEE-GCON 2023, IIT Guwahati, and at the Indian Women and Mathematics (IWM) Annual  Conference (2023), IISER Bhopal.

      2.  Sanwaya Koner (M.Sc. in Mathematics) [2024]

      3. Sooraj M (M.Sc. in Mathematics) [2024]

      4. Akhila Anna Varghese (i2 Mathematics) [2025]

      5. Akshara M (BS-MS Mathematics) [2025]

• External Internship Students 

1. Shlok Mulye (During his 3rd & 4th Year B.Tech. in Manufacturing Science and Engineering, IIT Kharagpur) [2023]
2. Hanna Jubin K (2nd Year M.Sc. in Statistics, Kannur University) [2024]
3. Ayanika Bera  (3rd Year B.Tech. in CS, Institute of Engineering and Management, Kolkata) [2024]

• 2 Year JRF position under SERB- SRG project. Project on sample size determination in cluster randomized trials. Any students wth MSc in Statistics/ Mathematics/ Data Science can send their detailed CV to my email id priyanka[at]iisertvm[dot]ac[dot]in before 10th April 2024. Students who have qualified any national level test (NET/GATE/JAM/TIFR etc.) will be given priority.

• If you are interested do research in the Applied Statistics area, specifically in the field of Designing Clinical Trials, Survival Analysis, Reliability Theory and Maintenance Policy etc. you can can apply for a PhD position.

           For Ph.D. admissions, there are two routes:

 1. If you have your own fellowships for a Ph.D. program (CSIR-JRF, UGC-JRF, DBT-JRF, INSPIRE Fellowship,NBHM etc), you can apply at any time of the year via the 'direct' route. In that, you may write me an  email mentioning your research interests and tentative timeline for joining.

2. You may also apply via the 'regular' route which is by applying directly to IISER TVM when there is a call for applications. In that, there will be shortlisting based on application and shortlisted candidates will be called for online interviews.

I broadly work on Applied Statistics and Probability area. More specifically:

• Statistical Inference
• Design and Analysis of Cluster Randomized Trials
• Longitudinal Study
• Reliability Theory, Maintenance Policies
• Survival Analysis
• Theory of Majorization and Stochastic Orderings