Zobrazeno 1 - 10
of 12
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:
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
Publikováno v:
Electron. J. Probab. 15 (2010), 1344-1369
An information-theoretic development is given for the problem of compound Poisson approximation, which parallels earlier treatments for Gaussian and Poisson approximation. Let $P_{S_n}$ be the distribution of a sum $S_n=\Sumn Y_i$ of independent inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a67fa0c5873d1d1952988e3f905ee27e
Autor:
Oliver Johnson
Publikováno v:
Electron. J. Statist. 2 (2008), 807-828
We analyse the properties of the Principal Fitted Components (PFC) algorithm proposed by Cook. We derive theoretical properties of the resulting estimators, including sufficient conditions under which they are $\sqrt{n}$-consistent, and explain some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40dbf646f59ab4ea228d7b81c2a3a696
http://arxiv.org/abs/0806.4120
http://arxiv.org/abs/0806.4120
Autor:
Oliver Johnson
Define the non-overlapping return time of a block of a random process to be the number of blocks that pass by before the block in question reappears. We prove a central limit theorem based on these return times. This result has applications to entrop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18805616efc1e15491bfc773f8f315a2
http://arxiv.org/abs/math/0506165
http://arxiv.org/abs/math/0506165