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Optimal estimation of a coin's bias using noisy data is surprisingly different from the same problem with noiseless data.
Theory of Probability
Harold Jeffreys · 1939
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Numerical Specification of Discrete Least Favorable Prior Distributions
Peter J. Kempthorne · 1987
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Randomized response: theory and techniques
Arijit Chaudhuri and Rahul Mukerjee · 1988
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Minimax estimation of binomial probability with entropy loss function
R. Wieczorkowski and R. Zielinski · 1992
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Minimax Estimation of the Binomial Parameter Under Entropy Loss
A. L. Rukhin · 1993
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A Natural Law of Succession
Eric S. Ristad · 1995
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Laplace’s law of succession and universal encoding
R. E. Krichevskiy · 1998
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Calculating the minimax estimation of a binomial probability with entropy loss function and its comparison with other estimators of a binomial probability
R. Wieczorkowski · 1998
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Unified approach to the classical statistical analysis of small signals
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Improved Probability Method for Estimating Signal in the Presence of Background
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Quantum Tomography for Measuring Experimentally the Matrix Elements of an Arbitrary Quantum Operation
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Setting confidence intervals for bounded parameters
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Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2002
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Bernstein polynomials and learning theory
D. Braess and T. Sauer · 2004
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Quantum state estimation
M. Paris and J. Rehacek (eds.) · 2004
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Separable measurement estimation of density matrices and its fidelity gap with collective protocols
E. Bagan, M. A. Ballester, R. D. Gill, Munoz Tapia, and O. Romero Isart · 2006
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Elements of Information Theory
Thomas M. Cover and Joy A. Thomas · 2006
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How to Achieve Minimax Expected Kullback-Leibler Distance from an Unknown Finite Distribution
Dietrich Braess, Jürgen Forster, Tomas Sauer, and Hans U. Simon · 2002
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