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Webpage of Abhishek Pal Majumder
  • Home
  • Research
  • Teaching
  • Data Science Blog
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    • Research
    • Teaching
    • Data Science Blog


Research Interests:

  • Statistical computing, Applied statistics, data science, distributed computation

  • Stochastic models, stochastic networks, Limit theorems,

  • Distributional inference, Higher order asymptotics,

  • Agent based modeling, Weakly interacting particle system, 

Publication and preprints (for journal):

Regime Switching Processes:

  • "Extremal exceedance of some regime-switching processes"  (in preparation)

  • "Divergent behavior of two-dimensional stochastic recurrence equations, with triangular innovations" (in preparation) ications in Mathematics and Statistics 

  • "Infinite server queues under stochastic modulation and its long time behavior" (submitted) link, R code 2024

  • "Long-time behavior of some semi-Markov modulated processes"  (submitted), 2024.

  • "Consumption–investment and reinsurance problem under Markovian regime switching: time-consistent solution ", with Nour El Houda Bouaicha, Farid Chighoub, Communications in Mathematics and Statistics   2025

  • "Exact long time behavior of some regime-switching stochastic processes", with Filip Lindskog ,  Youtube link , Bernoulli 2020, Vol. 26, No. 4, 2572-2604 .

Stochastic Reaction Network:

  • "The dynamics of stochastic mono-molecular reaction systems in stochastic environments " , with Daniele Cappelletti, Carsten Wiuf,    Stochastic Process and their Applications, Published version  Volume 137, July 2021, Pages 106-148 .

  • "Long time asymptotics of some transient stochastic reaction networks" ,  with Carsten Wiuf, in preparation.

Quantitative Evaluation of some weakly interacting particle systems and related long time asymptotics: 

  • “Long Time Results for a Weakly Interacting Particle System in Discrete Time”  with  Amarjit Budhiraja, Arxiv, Stochastic Analysis and Applications Volume 33, Issue 3, 2015

  • “Long time behavior of a discrete time model for active Chemotaxis,”  Arxiv.    Markov process and related fields Volume 27(5), pages 803 - 868 (2021).

Probability matching Fiducial distribution: 

  • ``Second-Order Probability Matching Priors for the Person Parameter in Unidimensional IRT Models,''   Psychometrika (with Jan Hannig, Yang Liu) 84, pages 701–718,   2019.

  • “Higher order Asymptotics of Generalized Fiducial Inference”, Arxiv, In revision (with Jan Hannig, Yang Liu),  

Thesis:

  • " Long time asymptotics of some weakly interacting particle systems and higher order asymptotics of generalized Fiducial distribution "

Statistical computing using Monte Carlo methods: 

  • “Improved SIS Strategies for Sampling Binary Tables under fixed Row and Column Sums,”  (with R. Chaudhuri, D. Sengupta)


Ph.D Project:

  • Predictive Causality in multi-dimensional time series.

Conference proceedings:

  • Robust Clustered Federated Learning Against Malicious Agents (with Lingjie Duan, Ngoh Sisui), 2024 IEEE 99th Vehicular Technology Conference (VTC2024-Spring) 

  • On a Test for Gene-gene Interaction  (with I Mukhopadhyay, PP Majumder),  GENETIC EPIDEMIOLOGY 34 (8), 932-933,  2010


Blogs I follow:

  • Translated blogposts of Prof. Djalil Chafai.

  • Blogposts of Prof. C. Robert  Xi'an's Og.

  • Cantor's Paradise 

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