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Kuang

Publications and source records attributed to Kuang.

2 recordsLinked to original sources

Revision Risk in Real-Time Macroeconomic Forecasting

Macroeconomic forecasts refer to outcomes that are first released and then revised. A 90 percent interval for the first GDP release, a six-month value, or a latest-value benchmark is not the same uncertainty statement. We ask how revision risk evolves through the release cycle and what can be reported in real time when later-outcome errors are scarce. We decompose later-outcome MSE into preliminary forecast risk, revision risk, and their covariance. In SPF data, first-release to roughly 180-day revisions account for 8.3 percent of later-outcome MSE across real-activity targets, versus 3.6 percent across inflation targets. We show that later-outcome uncertainty is partially identified: released histories give early-error and revision marginals, but not their dependence. This yields a sharp Frechet-Makarov set and motivates direct late calibration, dependence-robust transport, and signed or revision-model transport. Out-of-sample results support method choice rather than a universal transport rule: coverage and stability determine when transport gains are usable.

econ.EM

Quantum Mechanics of Stochastic Systems

We develop a fundamental framework for the quantum mechanics of stochastic systems (QMSS), showing that classical discrete stochastic processes emerge naturally as perturbations of the quantum harmonic oscillator (QHO). By constructing exact perturbation potentials that transform QHO eigenstates into stochastic representations, we demonstrate that canonical probability distributions, including Binomial, Negative Binomial, and Poisson, arise from specific modifications of the harmonic potential. Each stochastic system is governed by a Count Operator (N), with probabilities determined by squared amplitudes in a Born-rule-like manner. The framework introduces a complete operator algebra for moment generation and information-theoretic analysis, together with modular projection operators (R_M) that enable finite-dimensional approximations supported by rigorous uniform convergence theorems. This mathematical structure underpins True Uniform Random Number Generation (TURNG) [Kuang, Sci. Rep., 2025], eliminating the need for external whitening processes. Beyond randomness generation, the QMSS framework enables quantum probability engineering: the physical realization of classical distributions through designed quantum perturbations. These results demonstrate that stochastic systems are inherently quantum-mechanical in structure, bridging quantum dynamics, statistical physics, and experimental probability realization.

quant-ph