Results 51 to 60 of about 2,328,427 (283)
Stable Central Limit Theorem in Total Variation Distance
Journal of Theoretical ProbabilityUnder certain general conditions, we prove that the stable central limit theorem holds in the total variation distance and get its optimal convergence rate for all $α\in (0,2)$. Our method is by two measure decompositions, one step estimates, and a very delicate induction with respect to $α$. One measure decomposition is light tailed and borrowed from \
Li, Xiang, Xu, Lihu, Yang, Haoran
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An invariance principle under the total variation distance
Stochastic Processes and their Applications, 2015 15 ...
Ivan Nourdin, Guillaume Poly
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Pathogenic Germline PALB2 and RAD50 Variants in Patients With Relapsed Ewing Sarcoma
Pediatric Blood &Cancer, EarlyView.ABSTRACT Approximately 10% of patients with Ewing sarcoma (EwS) have pathogenic germline variants. Here, we report two cases: first, a novel germline pathogenic variant in partner and localizer of BRCA2 (PALB2) in a patient with a late EwS relapse. Its impact on homologous recombination is demonstrated, and breast cancer risk is discussed.
Molly Mack +12 more
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Relative information spectra with applications to statistical inference
AIMS MathematicsFor any pair of probability measures defined on a common space, their relative information spectra——specifically, the distribution functions of the loglikelihood ratio under either probability measure——fully encapsulate all that is relevant for ...
Sergio Verdú
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Genetic Variation and Phylogeographic Analysis of Native Chicken Populations in Myanmar and Thailand
The Journal of Poultry Science, 2012 Native chickens in Myanmar and Thailand have been being domesticated for generations and yielded a wide variety of chickens. The objective of the research is to analyze the genetic variation and relationships of native chicken populations in Myanmar and
Riztyan +7 more
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On the Stability Functional for Conservation Laws
, 2007 This note is devoted to the explicit construction of a functional defined on all pairs of $\L1$ functions with small total variation, which is equivalent to the $\L1$ distance and non increasing along the trajectories of a given system of conservation ...
Colombo, Rinaldo M., Guerra, Graziano
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Total variation distance between stochastic polynomials and invariance principles [PDF]
The Annals of Probability, 2019 The goal of this paper is to estimate the total variation distance between two general stochastic polynomials. As a consequence one obtains an invariance principle for such polynomials. This generalizes known results concerning the total variation distance between two multiple stochastic integrals on one hand, and invariance principles in Kolmogorov ...
Bally V., Caramellino L.
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Developmental Disorders in Children Recently Diagnosed With Cancer
Pediatric Blood &Cancer, EarlyView.ABSTRACT Neurocognitive deficits in adult survivors of childhood cancer are well established, but less is known about developmental disorders (DD) arising shortly after cancer diagnosis. Using 2016–2019 linked Ohio cancer registry and Medicaid data, we compared DD among 324 children with cancer and 606,913 cancer‐free controls.
Jamie Shoag +5 more
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The total variation distance between high-dimensional Gaussians
, 2020 We prove a lower bound and an upper bound for the total variation distance between two high-dimensional Gaussians, which are within a constant factor of one another.Comment: 12 ...
Devroye, Luc +2 more
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Quantitative bounds on convergence of time-inhomogeneous Markov chains
, 2004 Convergence rates of Markov chains have been widely studied in recent years. In particular, quantitative bounds on convergence rates have been studied in various forms by Meyn and Tweedie [Ann. Appl. Probab. 4 (1994) 981-1101], Rosenthal [J.
Douc, R. +2 more
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