Author
Paul Janssen
Other affiliations: Ghent University, Université catholique de Louvain
Bio: Paul Janssen is an academic researcher from University of Hasselt. The author has contributed to research in topics: Estimator & Copula (linguistics). The author has an hindex of 20, co-authored 71 publications receiving 1680 citations. Previous affiliations of Paul Janssen include Ghent University & Université catholique de Louvain.
Papers published on a yearly basis
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Book•
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23 Oct 2007
TL;DR: In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data.
Abstract: Readers will find in the pages of this book a treatment of the statistical analysis of clustered survival data. Such data are encountered in many scientific disciplines including human and veterinary medicine, biology, epidemiology, public health and demography. A typical example is the time to death in cancer patients, with patients clustered in hospitals. Frailty models provide a powerful tool to analyze clustered survival data. In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data. All programs used for these examples are available on the Springer website.
461 citations
TL;DR: In this paper, strong uniform consistency rates are established for kernel type estimators of functionals of the conditional distribution function, under general conditions, including regression curve estimation, density estimation, estimation of conditional df's, $L$-smoothing, and $M$ smoothing.
Abstract: Strong uniform consistency rates are established for kernel type estimators of functionals of the conditional distribution function, under general conditions. The present treatment unifies a number of specific problems previously studied separately in the literature. Some of these applications we treat in detail, including regression curve estimation, density estimation, estimation of conditional df's, $L$-smoothing and $M$-smoothing. Various previous results in the literature are extended and/or sharpened.
124 citations
TL;DR: Assuming only the existence of the third absolute moment, Chan and Wierman as discussed by the authors proved that the Berry-Esseen theorem holds for a σ n = σ √ n − 1/2 where σn is a $U$-statistic.
Abstract: Assuming only the existence of the third absolute moment we prove that $\sup_x |P(\sigma_n^{-1} U_n \leqq x) - \Phi (x)| \leqq C_{
u_3\sigma_g}^{-3}n^{-\frac{1}{2}}$ where $U_n$ is a $U$-statistic. This concludes a series of investigations on the Berry-Esseen theorem for $U$-statistics by Grams and Serfling, Bickel, and Chan and Wierman.
113 citations
TL;DR: In this article, it was shown that under some regularity conditions on the kernel, a one-sample $U$-statistic with kernel of degree two admits an asymptotic expansion with remainder term $o(N^{-1})$.
Abstract: It is shown that, under some regularity conditions on the kernel, a one-sample $U$-statistic with kernel of degree two admits an asymptotic expansion with remainder term $o(N^{-1})$.
77 citations
TL;DR: In this paper, the authors studied the asymptotic properties of the Bernstein polynomial estimator and obtained explicit expressions for the bias and variance of the estimator.
75 citations
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TL;DR: Convergence of Probability Measures as mentioned in this paper is a well-known convergence of probability measures. But it does not consider the relationship between probability measures and the probability distribution of probabilities.
Abstract: Convergence of Probability Measures. By P. Billingsley. Chichester, Sussex, Wiley, 1968. xii, 253 p. 9 1/4“. 117s.
5,689 citations
1,092 citations
TL;DR: Treatment with subcutaneous canakinumab once every 8 weeks was associated with a rapid remission of symptoms in most patients with CAPS and evaluated therapeutic responses using disease-activity scores and analysis of levels of C-reactive protein (CRP) and serum amyloid A protein (SAA).
Abstract: Background The cryopyrin-associated periodic syndrome (CAPS) is a rare inherited inflammatory disease associated with overproduction of interleukin-1. Canakinumab is a human anti–interleukin-1β monoclonal antibody. Methods We performed a three-part, 48-week, double-blind, placebo-controlled, randomized withdrawal study of canakinumab in patients with CAPS. In part 1, 35 patients received 150 mg of canakinumab subcutaneously. Those with a complete response to treatment entered part 2 and were randomly assigned to receive either 150 mg of canakinumab or placebo every 8 weeks for up to 24 weeks. After the completion of part 2 or at the time of relapse, whichever occurred first, patients proceeded to part 3 and received at least two more doses of canakinumab. We evaluated therapeutic responses using disease-activity scores and analysis of levels of C-reactive protein (CRP) and serum amyloid A protein (SAA). Results In part 1 of the study, 34 of the 35 patients (97%) had a complete response to canakinumab. Of ...
751 citations
TL;DR: It is recently confirmed that a split sample approach with50% held out leads to models with a suboptimal perfor-mance, that is, models with unstable and on average the same performance as obtained with half the sample size, so strongly advise against random split sample approaches in small development samples.
606 citations
Posted Content•
TL;DR: In this article, an exact form of the local Whittle likelihood is studied with the intent of developing a general purpose estimation procedure for the memory parameter (d) that applies throughout the stationary and nonstationary regions of d and which does not rely on tapering or differencing prefilters.
Abstract: An exact form of the local Whittle likelihood is studied with the intent of developing a general purpose estimation procedure for the memory parameter (d) that applies throughout the stationary and nonstationary regions of d and which does not rely on tapering or differencing prefilters. The resulting exact local Whittle estimator is shown to be consistent and to have the same N(0,1/4) limit distribution for all values of d.
513 citations