Paramahansa Pramanik

Stochastic Optimal Harvesting of Renewable Resources

Paramahansa Pramanik, Fatamatuj Johora

This paper develops a finite-horizon stochastic optimal harvesting model that links constrained Hamilton-Jacobi-Bellman (HJB) control with a nonlinear Feynman-Kac/BSDE representation. Harvesting effort is bounded, yielding a projected feedback policy with lower-bound, interior, and upper-saturation regimes. Under appropriate regularity conditions, the HJB and …

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A stochastic interaction between two firms

Mustapha Nyenye Issah, Paramahansa Pramanik

Abstract In this paper we construct a dynamic entry deterrence game in which market demand follows the Chan-Karolyi-Longstaff-Sanders (CKLS) stochastic differential equation (SDE). The incumbent firm, whose true strength is privately known, uses advertising and promotional expenditures strategically to shape the entrant’s …

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Viscosity Solutions and Mean Field Equilibria for Nonlocal Stochastic Control Under Catastrophe and Replacement-Cost Risk

Paramahansa Pramanik, Michael Bowdin

We develop a stochastic-control and mean field game framework for catastrophe insurance under stochastic replacement-cost risk. Insurer surplus follows a controlled jump diffusion in which catastrophe losses are scaled by an exogenous mean-reverting replacement-cost factor and attenuated through physical hedging. We establish …

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Stochastic Choice with Distribution-Dependent Preferences

Paramahansa Pramanik

We develop a continuous-time stochastic choice theory with endogenous preference evolution. Unlike dynamic random utility, observed behavior affects future preferences through the conditional distribution of latent preference states, generating endogenous distributional feedback. We show that this feedback has observable behavioral implications and …

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Structural Inequities and Mathematics Achievement in Alabama Public Schools

Brianna Reed, Paramahansa Pramanik

Demographic disparities in mathematics proficiency have been a persistent issue in the United States public schools for the entire history of the public school system. Previous research suggests that schools serving predominantly minority students often face challenges related to fewer certified teachers …

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Modeling Educational Performance Using School Demographics and Teacher Characteristics

Brianna Reed, Paramahansa Pramanik

High-dimensional educational datasets often exhibit sparsity, grouped predictors, and locally correlated covariates, limiting the effectiveness of conventional regression methods. We propose an Adaptive Weighted Group Fused LASSO estimator that jointly performs adaptive variable selection, group regularization, and coefficient fusion within a unified …

Modeling Educational Performance Using School Demographics and Teacher Characteristics

Brianna Reed, Paramahansa Pramanik

High-dimensional educational datasets often exhibit sparsity, grouped predictors, and locally correlated covariates, limiting the effectiveness of conventional regression methods. We propose an Adaptive Weighted Group Fused LASSO estimator that jointly performs adaptive variable selection, group regularization, and coefficient fusion within a unified …

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Optimal Harvesting under Stochastic Control: HJB Equation and Feynman-Kac Representation

Paramahansa Pramanik, Fatamatuj Johora

Sustainable resource management requires harvesting strategies that account for environmental variability and ecological uncertainty. This study investigates optimal harvesting of renewable biological resources within a stochastic framework, where population dynamics are influenced by random environmental fluctuations and modeled using stochastic differential equations. …

Optimal Harvesting under Stochastic Control: HJB Equation and Feynman-Kac Representation

Paramahansa Pramanik, Fatamatuj Johora

Sustainable resource management requires harvesting strategies that account for environmental variability and ecological uncertainty. This study investigates optimal harvesting of renewable biological resources within a stochastic framework, where population dynamics are influenced by random environmental fluctuations and modeled using stochastic differential equations. …

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Obesity and Sociodemographic Factors in Luminal Breast Cancer

Vacanti Anderson, Paramahansa Pramanik, Haley K. Robinson

Luminal breast cancers represent the most prevalent molecular subtype of breast carcinoma, with Luminal A tumors generally associated with more favorable clinical outcomes than Luminal B tumors. Obesity-related inflammation and prolonged exposure to exogenous steroids have been implicated in the progression of …

Obesity and Sociodemographic Factors in Luminal Breast Cancer

Vacanti Anderson, Paramahansa Pramanik, Haley K. Robinson

Luminal breast cancers represent the most prevalent molecular subtype of breast carcinoma, with Luminal A tumors generally associated with more favorable clinical outcomes than Luminal B tumors. Obesity-related inflammation and prolonged exposure to exogenous steroids have been implicated in the progression of …

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Strategic Dynamics of Firms via Path Integral Control

Paramahansa Pramanik

In this paper, we introduce a Euclidean path integral control approach to determine optimal strategies for firms operating under a Walrasian system, Pareto optimality, and a non-cooperative feedback Nash equilibrium. Our framework formulates a Lagrangian control problem with forward-looking stochastic dynamics, eliminating …

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