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of 4
pro vyhledávání: '"Oliver Johnson"'
Publikováno v:
Statistics and Probability Letters
Statistics and Probability Letters, 2019, 145, pp.181-186. ⟨10.1016/j.spl.2018.08.018⟩
Statistics and Probability Letters, Elsevier, 2019, 145, pp.181-186. ⟨10.1016/j.spl.2018.08.018⟩
Hillion, E, Johnson, O & Saumard, A 2019, ' An extremal property of the normal distribution, with a discrete analog ', Statistics and Probability Letters, vol. 145, pp. 181-186 . https://doi.org/10.1016/j.spl.2018.08.018
Statistics and Probability Letters, 2019, 145, pp.181-186. ⟨10.1016/j.spl.2018.08.018⟩
Statistics and Probability Letters, Elsevier, 2019, 145, pp.181-186. ⟨10.1016/j.spl.2018.08.018⟩
Hillion, E, Johnson, O & Saumard, A 2019, ' An extremal property of the normal distribution, with a discrete analog ', Statistics and Probability Letters, vol. 145, pp. 181-186 . https://doi.org/10.1016/j.spl.2018.08.018
We prove, using the Brascamp-Lieb inequality, that the Gaussian measure is the only strong log-concave measure having a strong log-concavity parameter equal to its covariance matrix. We also give a similar characterization of the Poisson measure in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f175f4c7c4558b25443b4f8ad69544d2
https://hal.science/hal-02113627
https://hal.science/hal-02113627
Autor:
Oliver Johnson, Fraser Daly
Publikováno v:
Statistics & Probability Letters. 83:511-518
We give bounds on the Poincare (inverse spectral gap) constant of a non-negative, integer-valued random variable W , under negative dependence assumptions such as ultra log-concavity and total negative dependence. We show that the bounds obtained com
Autor:
Oliver Johnson
Publikováno v:
Stochastic Processes and their Applications. 117(6):791-802
We prove that the Poisson distribution maximises entropy in the class of ultra-log-concave distributions, extending a result of Harremo\"{e}s. The proof uses ideas concerning log-concavity, and a semigroup action involving adding Poisson variables an
Autor:
Oliver Johnson
Publikováno v:
Significance. 3:22-25
Gambling has provided centuries of inspiration to probabilists and statisticians. The process continues. There also exist fundamental links between betting and a newer subject, Information Theory, which began with Claude Shannon and his ground-breaki