Results 81 to 90 of about 114,898,652 (277)

Central Limit Theorems For Multicolor Urns With Dominated Colors [PDF]

An urn contains balls of d >= 2 colors. At each time n >= 1, a ball is drawn and then replaced together with a random number of balls of the same color. Let An =diag (An,1, . . . ,An,d) be the n-th reinforce matrix. Assuming EAn,j = EAn,1 for all n and j,
Pietro Rigo, Luca Pratelli, Patrizia Berti, Irene Crimaldi   +3 more
core  

Power spectral density and the brain

Canadian Journal of Statistics, EarlyView.
Abstract Time series from M/EEG (magneto/electroencephalography) and ECoG (electrocorticography) recordings are common sources of information about brain function. The power spectral density (PSD) preserves much of this information, up to second order. In the current decade, a burst of brain diagnostics using the slope of log(PSD) has appeared.
Priscilla E. Greenwood, Sveinung Erland, Lawrence M. Ward   +2 more
wiley   +1 more source

Functional Limit Theorems for Occupation Time Fluctuations of Branching Systems in the Cases of Large and Critical Dimensions [PDF]

Functional central limit theorem; Occupation time fluctuation; Branching particle system; Generalized Wiener process; Critical ...
Luis G. Gorostiza, A. Talarczyk, T. Bojdecki   +2 more
core  

Limit theorems and wrapping transforms in bi-free probability theory

Pacific Journal of Mathematics
In this paper, we characterize idempotent distributions with respect to the bi-free multiplicative convolution on the bi-torus. Also, the bi-free analogous Levy triplet of an infinitely divisible distribution on the bi-torus without non-trivial idempotent factors is obtained.
Hasebe, Takahiro, Huang, Hao-Wei
openaire   +2 more sources

Vine copula knockoffs for variable selection in gene expression studies

Canadian Journal of Statistics, EarlyView.
Abstract Identifying clinical and genetic markers is essential for stratifying cancer patients by survival outcomes and guiding personalized treatment strategies. However, gene expression studies often involve high‐dimensional predictors with mixed data types and complex dependence, which complicates reliable variable selection.
José Ulises Márquez Urbina, Alejandro Román Vásquez, Graciela González Farías, Gabriel Escarela   +3 more
wiley   +1 more source

Large parameter asymptotic analysis for homogeneous normalized random measures with independent increments

Canadian Journal of Statistics, EarlyView.
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley   +1 more source

A conversation with James V. Zidek

Canadian Journal of Statistics, EarlyView.
AbstractThis article documents a series of exchanges between the authors and the senior Canadian statistician Jim Zidek in early 2026. The interview traces his life trajectory, surveying his principal contributions to statistics while offering insights into his motivations, successes, and challenges. Zidek is a Fellow of the Royal Society of Canada and
Christian Genest, Nancy E. Heckman
wiley   +1 more source

Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization

Canadian Journal of Statistics, EarlyView.
Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
wiley   +1 more source

Proofs of Some Limit Theorems in Probability [PDF]

, 1974
This study gives detailed proofs of some limit theorems in probability which are important in theoretical and applied probability, The general introduction contains definitions and theorems that are basic tools of the later development. Included in this
Hwang, E-Bin
core  

Lasso for hierarchical polynomial models

Canadian Journal of Statistics, EarlyView.
Abstract The divisibility conditions implicit in a polynomial hierarchy suggest parameter constraints in regression. With this idea, we establish strong and weak hierarchies for both the lasso and relaxed lasso. Our proposal extends prior work on hierarchical lasso, which was mainly concerned with models of degree 2.
H. Maruri‐Aguilar, S. Lunagómez
wiley   +1 more source