Results 71 to 80 of about 15,956 (279)
Abstract The trigeminus nerve (cranial nerve V) is a large and significant conduit of sensory information from the face to the brain, with its three branches extending over the head to innervate a wide variety of integumentary sensory receptors, primarily tactile.
Juri A. Miyamae +4 more
wiley +1 more source
Bounds for the stop-loss distance of an independent random sum via Stein's method
Let $ W = X_1+X_2+\cdots + X_N $ be a random sum and $ Z $ be the standard normal random variable. In this paper, we investigated uniform and non-uniform bounds of the stop-loss distance, which measures the difference between two random variables, $ W ...
Punyapat Kammoo +2 more
doaj +1 more source
The rate of convergence of some asymptotically chi-square distributed statistics by Stein's method
We build on recent works on Stein's method for functions of multivariate normal random variables to derive bounds for the rate of convergence of some asymptotically chi-square distributed statistics.
Gaunt, Robert E., Reinert, Gesine
core
Generalized gamma approximation with rates for urns, walks and trees
We study a new class of time inhomogeneous P\'olya-type urn schemes and give optimal rates of convergence for the distribution of the properly scaled number of balls of a given color to nearly the full class of generalized gamma distributions with ...
Peköz, Erol A. +2 more
core +1 more source
Broadening the semiaquatic scene: Quantification of long bone microanatomy across pinnipeds
Abstract Investigations of bone microanatomy are commonly used to explore lifestyle strategies in vertebrates. While distinct microanatomical limb bone features have been established for exclusively aquatic and terrestrial lifestyles, identifying clear patterns for the semiaquatic lifestyle remains more challenging.
Apolline Alfsen +10 more
wiley +1 more source
Bounds on Negative Binomial Approximation to Call Function
In this paper, we develop Stein's method for negative binomial distribution using call function defined by fz(k) = (k - z)+ = max{k - z, 0}, for k ≥ 0 and z ≥ 0.
Amit N. Kumar
doaj +1 more source
In this paper, methods to estimate the number of basis vectors of the nonnegative matrix factorization (NMF) of automatic music transcription (AMT) systems are proposed.
Seokjin Lee
doaj +1 more source
Let $(Z_n)$ be a supercritical branching process in a random environment $\xi = (\xi_n)$. We establish a Berry-Esseen bound and a Cram\'er's type large deviation expansion for $\log Z_n$ under the annealed law $\mathbb P$.
Grama, Ion, Liu, Quansheng, Miqueu, Eric
core +3 more sources
ABSTRACT Temperate river floodplains present a significant challenge for archaeologists, as cultural and palaeoenvironmental remains are often difficult to locate but can be exceptionally well preserved, especially where groundwater levels are high. In these alluvial environments, the deposition of thick, fine‐grained sediments has potential to deeply ...
Nicholas Crabb +3 more
wiley +1 more source
Discretized normal approximation by Stein's method
We prove a general theorem to bound the total variation distance between the distribution of an integer valued random variable of interest and an appropriate discretized normal distribution.
Fang, Xiao
core +1 more source

