Stochastic Modeling of Compact Binary Coalescences for Gravitational Wave Analysis

Aims: To develop a stochastic mathematical framework for modeling gravitational wave signals from Compact Binary Coalescences (CBCs), incorporating uncertainties in mass and spin evolution and improving signal detection and parameter estimation.Study Design: A simulation-based theoretical study using a stochastic approach to enhance the modeling of gravitational wave signals. Methodology:The model integrates the inspiral-merger-ringdown (IMR) waveform with stochastic differential equations (SDEs) to represent uncertainties in component evolution due to astrophysical