Under a negative limiting drift, the stationary distribution of the diffusion-scaled state-dependent queue converges to an exponential form when a density condition on limit points holds.
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Proposes high-dimensional partial linear model with trend filtering achieving minimax optimal rates, applied to IDATA study for UPF intake biomarkers.
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Heavy-traffic limit of stationary distributions of a state-dependent queue
Under a negative limiting drift, the stationary distribution of the diffusion-scaled state-dependent queue converges to an exponential form when a density condition on limit points holds.
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High-dimensional partial linear model with trend filtering
Proposes high-dimensional partial linear model with trend filtering achieving minimax optimal rates, applied to IDATA study for UPF intake biomarkers.