Resolving Lambertian surface orientation from fluctuating radiance by Makris, Nicholas, Bertsatos, Ioannis

“…The minimum number of independent samples necessary for maximum likelihood estimates to become asymptotically unbiased and to attain the lower bound on resolution of classical estimation theory are derived, as are practical design thresholds.…”
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Statistical biases and errors inherent in photoclinometric surface slope estimation with natural light by Bertsatos, Ioannis, Makris, Nicholas

“…We then use classical estimation theory to determine the theoretically exact biases and errors inherent in photoclinometric surface slope and show when they may be approximated by asymptotic expressions for sufficiently high sample size. …”
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Gaussian Hypothesis Testing and Quantum Illumination by Wilde, Mark M., Tomamichel, Marco, Lloyd, Seth, Berta, Mario

“…Quantum hypothesis testing is one of the most basic tasks in quantum information theory and has fundamental links with quantum communication and estimation theory. In this paper, we establish a formula that characterizes the decay rate of the minimal type-II error probability in a quantum hypothesis test of two Gaussian states given a fixed constraint on the type-I error probability. …”
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Quantum theory of optical temporal phase and instantaneous frequency. II. Continuous-time by Tsang, Mankei, Shapiro, Jeffrey H., Lloyd, Seth

“…We also investigate the fundamental uncertainties in the simultaneous estimation of harmonic-oscillator position and momentum via continuous optical phase measurements from the classical estimation theory perspective. In the case of delayed estimation, we find that the inferred uncertainty product can drop below that allowed by the Heisenberg uncertainty relation. …”
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