Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Oliver Johnson"'
Publikováno v:
Yu, L, Daly, F & Johnson, O T 2022, ' A negative binomial approximation in group testing ', Probability in the Engineering and Informational Sciences . https://doi.org/10.1017/S026996482200033X
We consider the problem of group testing (pooled testing), first introduced by Dorfman. For nonadaptive testing strategies, we refer to a nondefective item as “intruding” if it only appears in positive tests. Such items cause misclassification er
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa457e75d06a2e1753ab1bc282608e80
http://arxiv.org/abs/2203.07803
http://arxiv.org/abs/2203.07803
Autor:
Erwan Hillion, Oliver Johnson
Publikováno v:
Hillion, E & Johnson, O T 2019, ' A proof of the Shepp-Olkin entropy monotonicity conjecture ', Electronic Journal of Probability, vol. 24, 126 . https://doi.org/10.1214/19-EJP380
Electron. J. Probab.
Electron. J. Probab.
Consider tossing a collection of coins, each fair or biased towards heads, and take the distribution of the total number of heads that result. It is natural to conjecture that this distribution should be 'more random' when each coin is fairer. Indeed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f86d62501ce87cfb6ef6a660074a11c
https://hal.science/hal-02113623
https://hal.science/hal-02113623
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, Ramji Venkataramanan
Publikováno v:
Electron. J. Statist. 12, no. 1 (2018), 1126-1149
Venkataramanan, R & Johnson, O 2018, ' A strong converse bound for multiple hypothesis testing, with applications to high-dimensional estimation ', Electronic Journal of Statistics, vol. 12, no. 1, pp. 1126-1149 . https://doi.org/10.1214/18-EJS1419
Venkataramanan, R & Johnson, O 2018, ' A strong converse bound for multiple hypothesis testing, with applications to high-dimensional estimation ', Electronic Journal of Statistics, vol. 12, no. 1, pp. 1126-1149 . https://doi.org/10.1214/18-EJS1419
In statistical inference problems, we wish to obtain lower bounds on the minimax risk, that is to bound the performance of any possible estimator. A standard technique to obtain risk lower bounds involves the use of Fano's inequality. In an informati
Autor:
Oliver Johnson
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 53, no. 4 (2017), 1952-1970
Johnson, O 2017, ' A discrete log-Sobolev inequality under a Bakry-Émery type condition ', Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, vol. 53, no. 4, pp. 1952-1970 . https://doi.org/10.1214/16-AIHP778
Johnson, O 2017, ' A discrete log-Sobolev inequality under a Bakry-Émery type condition ', Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, vol. 53, no. 4, pp. 1952-1970 . https://doi.org/10.1214/16-AIHP778
Nous considerons des distributions de probabilite $V$ a support dans l’ensemble des entiers positifs, en utilisant des arguments introduits par Caputo, Dai Pra et Posta, bases sur une condition de Bakry–Emery pour une chaine de naissance et mort
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:
Christophe Vignat, Oliver Johnson
Publikováno v:
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2007, 43 (3), pp.339-351. ⟨10.1016/j.anihpb.2006.05.001⟩
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2007, 43 (3), pp.339-351. ⟨10.1016/j.anihpb.2006.05.001⟩
We consider the Student-t and Student-r distributions, which maximise Renyi entropy under a covariance condition. We show that they have information-theoretic properties which mirror those of the Gaussian distributions, which maximise Shannon entropy
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
Publikováno v:
ESAIM: Probability and Statistics
ESAIM: Probability and Statistics, 2014, 18, ⟨10.1051/ps/2014007⟩
ESAIM: Probability and Statistics, EDP Sciences, 2014, 18, ⟨10.1051/ps/2014007⟩
ESAIM: Probability and Statistics, 2014, 18, ⟨10.1051/ps/2014007⟩
ESAIM: Probability and Statistics, EDP Sciences, 2014, 18, ⟨10.1051/ps/2014007⟩
We consider probability measures supported on a nite discrete interval [0 ;n]. We introduce a new nite dierence operator rn, dened as a linear combination of left and right nite dierences. We show that this operator rn plays a key role in a new Poinc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35b5c01ecb3843166888a0644883bd7c
https://hal.science/hal-01296801
https://hal.science/hal-01296801