Censored count data regression with missing censoring information

Autor: Jean-François Dupuy, Abderrazek Karoui, Bilel Bousselmi

Publikováno v: Electronic Journal of Statistics
Electronic Journal of Statistics, 2021, 15 (2), pp.4343-4383. ⟨10.1214/21-EJS1897⟩
Electronic Journal of Statistics, Shaker Heights, OH : Institute of Mathematical Statistics, 2021, 15 (2), pp.4343-4383. ⟨10.1214/21-EJS1897⟩

We investigate estimation in Poisson regression model when the count response is right-censored and the censoring indicators are missing at random. We propose several estimators based on the regression calibration, multiple imputation and augmented i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4dcf0c704e65a95c445497a20253475
https://doi.org/10.1214/21-ejs1897

The Finite Hankel Transform Operator: Some Explicit and Local Estimates of the Eigenfunctions and Eigenvalues Decay Rates

Autor: Mourad Boulsane, Abderrazek Karoui

Publikováno v: Journal of Fourier Analysis and Applications. 24:1554-1578

For fixed real numbers $$c>0,$$ $$\alpha >-\frac{1}{2},$$ the finite Hankel transform operator, denoted by $$\mathcal {H}_c^{\alpha }$$ is given by the integral operator defined on $$L^2(0,1)$$ with kernel $$K_{\alpha }(x,y)= \sqrt{c xy} J_{\alpha }(

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9c21d05085cc068d41fae3ecfe4a5fb
https://doi.org/10.1007/s00041-017-9568-0

Spectral decay of time and frequency limiting operator

Autor: Aline Bonami, Abderrazek Karoui

Publikováno v: Applied and Computational Harmonic Analysis
Applied and Computational Harmonic Analysis, Elsevier, 2015, ⟨10.1016/j.acha.2015.05.003⟩

For fixed $c,$ the Prolate Spheroidal Wave Functions (PSWFs) $\psi_{n, c}$ form a basis with remarkable properties for the space of band-limited functions with bandwidth $c$. They have been largely studied and used after the seminal work of D. Slepia

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57fb83a7b383dcba08f95e7ea2b4ec5f
https://doi.org/10.1016/j.acha.2015.05.003

Non-Asymptotic behaviour of the spectrum of the Sinc Kernel Operator and Related Applications

Autor: Abderrazek Karoui, Philippe Jaming, Aline Bonami

Prolate spheroidal wave functions have recently attracted much attention in applied harmonic analysis, signal processing, and mathematical physics. They are eigenvectors of the sinc-kernel operator Qc: the time- and band-limiting operator. The corres

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3112a23f6055088221eda16f540be1f8
https://hal.archives-ouvertes.fr/hal-01756828/document

Random Discretization of the Finite Fourier Transform and Related Kernel Random Matrices

Autor: Abderrazek Karoui, Aline Bonami

This paper is centred on the spectral study of a Random Fourier matrix, that is an $n\times n$ matrix $A$ whose $(j, k)$ entries are $\exp(2i\pi m X_jY_k)$, with $X_j$ and $Y_k$ two i.i.d sequences of random variables and $1\leq m\leq n$ is a real nu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::035d7f2cbd849356fd7dace1f3610eba
https://hal.archives-ouvertes.fr/hal-01498277/document