Projects
Stochastic Processes and Applications in Finance
Exploring Markov chains, Poisson processes, and Brownian motion for use in modern financial models. Applying stochastic concepts to risk modeling, market microstructure, and option pricing.
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Bayesian Decision Theory vs Classical and Machine Learning Paradigms
Conducting a critical theoretical comparison of Bayesian, frequentist, and ML decision frameworks. Focus on paradoxes in classical methods and the practical success of Bayesian reasoning in uncertain environments.
Bridge Reliability and Crossing Probability
Modeled bridge crossing as a graph with independently failing edges. Computed success probability of crossing via Monte Carlo simulation. Part of Probability Theory-II coursework.
Centre-wise Analysis of NEET 2024 Scores
Investigated outlier behavior and anomalies in NEET score distributions using exploratory data techniques. Conducted as part of coursework for Statistical Methods-I.
Randomized Algorithm for kth Order Statistic
Implemented the QuickSelect algorithm using randomized partitioning to efficiently compute order statistics. Project under Programming and Data Structures coursework.