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We obtain the optimal proxy variance for the sub-Gaussianity of Beta distribution, thus proving upper bounds recently conjectured by Elder (2016).
Probability inequalities for sums of bounded random variables
Hoeffding, W. (1963) · 1963
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Logarithmic sobolev inequalities
Gross, L. (1975) · 1975
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Sub-Gaussian random variables
Buldygin, V. V. and Kozachenko, Y. V. (1980) · 1980
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Ordinary Differential Equations
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Large deviation methods for approximate probabilistic inference
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Exponential integrability and transportation cost related to logarithmic sobolev inequalities
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On the convergence rate of Good-Turing estimators
McAllester, D. A. and Schapire, R. E. (2000) · 2000
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Concentration inequalities for the missing mass and for histogram rule error
McAllester, D. A. and Ortiz, L. (2003) · 2003
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An introduction to Ordinary Differential Equations
Robinson, J. C. (2004) · 2004
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A distribution dependent refinement of pinsker’s inequality
Ordentlich, E. and Weinberger, M. J. (2005) · 2005
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On the concentration of the missing mass
Berend, D. and Kontorovich, A. (2013) · 2013
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Concentration inequalities: A nonasymptotic theory of independence
Boucheron, S., Lugosi, G., and Massart, P. (2013) · 2013
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Concentration of measure inequalities in information theory, communications, and coding
Raginsky, M. and Sason, I. (2013) · 2013
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Pólya tree posterior distributions on densities
Castillo, I. (2016) · 2016
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Bayesian adaptive data analysis guarantees from subgaussianity
Elder, S. (2016) · 2016
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Statistical limits of spiked tensor models
Perry, A., Wein, A. S., and Bandeira, A. S. (2016) · 2016
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Subgaussian sequences in probability and Fourier analysis
Pisier, G. (2016) · 2016
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The sub-Gaussian norm of a binary random variable
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Arbel, J., Favaro, S., Nipoti, B., and Teh, Y. W. (2017) · 2017
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Ben-Hamou, A., Boucheron, S., and Ohannessian, M. I. (2017) · 2017
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