Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities

Sui confini della probabilita

F. P. Cantelli · 1929

Earlier work this paper cites.

Etude critique de la notion de collectif

J. Ville · 1939

Earlier work this paper cites.

Regularity properties of certain families of chance variables

J. L. Doob · 1940

Earlier work this paper cites.

Probability inequalities for sums of bounded random variables

W. Hoeffding · 1963

Earlier work this paper cites.

Statistical methods related to the law of the iterated logarithm

H. Robbins · 1970

Earlier work this paper cites.

Das maximale signifikanzniveau des tests:“lehne h o ab, wenn k unter n gegebenen tests zur ablehnung führen”

B. Rüger · 1978

Earlier work this paper cites.

Random variables with maximum sums

L. Rüschendorf · 1982

Earlier work this paper cites.

On the asymptotic performance of the log likelihood ratio statistic for the mixture model and related results

J. K. Ghosh and P. K. Sen · 1984

Earlier work this paper cites.

Maximal Inequalities for Multidimensionally Indexed Submartingale Arrays

T. C. Christofides and R. J. Serfling · 1990

Earlier work this paper cites.

U-Statistics: Theory and Practice

A. J. Lee · 1990

Earlier work this paper cites.

Testing in normal mixture models when the proportions are known

B. Goffinet, P. Loisel, and B. Laurent · 1992

Earlier work this paper cites.

Testing the order of a model using locally conic parametrization: population mixtures and stationary ARMA processes

D. Dacunha-Castelle and E. Gassiat · 1999

Earlier work this paper cites.

A Remark on Bernstein, Prokhorov, Bennett, Hoeffding, and Talagrand Inequalities

V. Bentkus · 2002

Earlier work this paper cites.

Probability inequalities related to Markov’s theorem

B. Ghosh · 2002

Cited alongside, same era.

Probability and finance: it’s only a game! , volume 491

G. Shafer and V. Vovk · 2005

Cited alongside, same era.

On domination of tail probabilities of (super) martingales: Explicit bounds

V. Bentkus, N. Kalosha, and M. Van Zuijlen · 2006

Cited alongside, same era.

Hypothesis test for normal mixture models: The EM approach

J. Chen and P. Li · 2009

Cited alongside, same era.

Probability: Theory and Examples , volume 49

R. Durrett · 2019

Cited alongside, same era.

Halving the bounds for the Markov, Chebyshev, and Chernoff inequalities using smoothing

M. Huber · 2019

Cited alongside, same era.

Universal inference

L. Wasserman, A. Ramdas, and S. Balakrishnan · 2020

Later among the works it cites.

Universal inference meets random projections: a scalable test for log-concavity

Original

R. Dunn, A. Gangrade, L. Wasserman, and A. Ramdas · 2021

Later among the works it cites.

Uniform, nonparametric, non-asymptotic confidence sequences

S. R. Howard, A. Ramdas, J. McAuliffe, and J. Sekhon · 2021

Later among the works it cites.

Testing by betting: a strategy for statistical and scientific communication (with discussion and response)

G. Shafer · 2021

Later among the works it cites.

Nonparametric two-sample testing by betting

Original

S. Shekhar and A. Ramdas · 2021

Later among the works it cites.