Results 31 to 40 of about 3,211,635 (289)

Notes on the Free Additive Convolution

Axioms
The investigation of free additive convolution is a key concept in free probability theory, offering a framework for studying the sum of freely independent random variables.
Shokrya S. Alshqaq, Raouf Fakhfakh, Fatimah Alshahrani   +2 more
doaj   +1 more source

Aspects of average response computation by aperiodic stimulation [PDF]

, 1972
A mathematical analysis of the variance of the average evoked-response computation as a function of the numberN of stimuli presented is made for the case when the response is disturbed by additive stationary noise.
Hoopen, M. ten, Reuver, H.A.
core   +2 more sources

${\mathbb{B}}_{\mathit{t}}$-Transformation and Variance Function

Mathematics
This study investigates the Bt-transformation of probability measures within the framework of free probability. A primary focus is the invariance under this transformation of two fundamental families: the free Meixner family and the free analog of the ...
Abdulmajeed Albarrak, Raouf Fakhfakh, Ghadah Alomani   +2 more
doaj   +1 more source

A Cosmic Variance Cookbook

, 2010
Deep pencil beam surveys (10^11 Msun is ~38%, while it is ~27% for GEMS and ~12% for COSMOS. For galaxies of m*~10^10 Msun the relative cosmic variance is ~19% for GOODS, ~13% for GEMS and ~6% for COSMOS.
Moster, Benjamin P., Newman, Jeffrey A., Rix, Hans-Walter, Somerville, Rachel S.   +3 more
core   +1 more source

What you can do with Coordinated Samples [PDF]

, 2013
Sample coordination, where similar instances have similar samples, was proposed by statisticians four decades ago as a way to maximize overlap in repeated surveys. Coordinated sampling had been since used for summarizing massive data sets.
Cohen, Edith, Kaplan, Haim
core   +1 more source

On Generalized V_a-Transformation of Measures

Mathematics
In this study, we introduce a novel transformation of probability measures that unifies two significant transformations in free probability theory: the t-transformation and the Va-transformation.
Abdulmajeed Albarrak, Raouf Fakhfakh, Ghadah Alomani   +2 more
doaj   +1 more source

Short and Long Range Screening of Optical Singularities

, 2007
Screening of topological charges (singularities) is discussed for paraxial optical fields with short and with long range correlations. For short range screening the charge variance in a circular region with radius $R$ grows linearly with $R$, instead of ...
Aronovitch, Berry, Berry, Berry, Berry, Berry, Bogolmony, Bogolmony, Bogolmony, Corless, David A. Kessler, Dennis, Dennis, Dennis, Dennis, Dennis, Doya, Egorov, Foltin, Foltin, Foltin, Freund, Freund, Freund, Freund, Freund, Freund, Goodman, Halperin, Indebetouw, Isaac Freund, Kessler, Liu, Nye, Nye, Roberts, Saichev, Shvartsman, Shvartsman, Stillinger, Stillinger, Strogatz, van Tiggelen, Weinrib, Weinrib, Wilkinson   +45 more
core   +1 more source

Variance function estimation in high-dimensions [PDF]

, 2012
We consider the high-dimensional heteroscedastic regression model, where the mean and the log variance are modeled as a linear combination of input variables. Existing literature on high-dimensional linear regres- sion models has largely ignored non-constant error variances, even though they commonly occur in a variety of applications ranging from ...
Mladen Kolar, James Sharpnack
openaire   +2 more sources

Why and When Are Evidence‐Based Interventions Adopted in Paediatric Supportive Care? A Qualitative Exploration of the Determinants of Photobiomodulation Implementation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie, Kara A. Gray‐Burrows, Peter F. Day, Bob Phillips, Carl A. Thompson   +4 more
wiley   +1 more source

Dexamethasone for Chemotherapy‐Induced Nausea and Vomiting Prevention in Pediatric Patients: International Consensus

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background An international Delphi panel of experts developed consensus statements to delineate the circumstances where the risks of dexamethasone as an antiemetic do and do not outweigh its benefits. Procedure Experts in supportive care of pediatric patients were invited to participate.
Negar Shavandi, Paula D. Robinson, Shana Jacobs, L. Lee Dupuis, the International Pediatric Dexamethasone Panel, Sameer Bakhshi, Tiene Bauters, Eva Brack, Simone Cesaro, Claire Fosbrook, Jason Freedman, Tamara MacDonald, Eloise Neumann, Venkatraman Radhakrishnan, Rod Rassekh, Florian Slimano, Johnathan Soggee, Joel Thompson, Marianne van de Wetering, Milena Villarroel, Jasper Wong   +20 more
wiley   +1 more source