scholarly journals Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences

Author(s):  
Uğur ULUSU ◽  
Erdinç DÜNDAR ◽  
Fatih NURAY
2020 ◽  
Author(s):  
Anthony Schmidt

Intensive English programs (IEPs) exist as an additional pathway into higher education for international students who need additional language support before full matriculation. Despite their long history in higher education, there is little research on the effectiveness of these programs. The current research examines the effectiveness of an IEP by comparing IEP students to directly-admitted international students. Results from regression models on first-semester and first-year GPA indicated no significant differences between these two student groups. Follow-up equivalence testing indicated statistical equivalence in several cases. The findings lead to the conclusion that the IEP is effective in helping students perform on par with directly-admitted international students. These findings imply further support for IEPs and alterative pathways to direct admission.


Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5139-5150 ◽  
Author(s):  
Cem Koşar ◽  
Mehmet Küçükaslan ◽  
Mikail Et

In this study, combining the definition of asymptotically equivalence of sequences and deferred density, the concepts of asymptotically deferred statistical equivalence and strong deferred asymptotically equivalence of nonnegative sequences are introduced. Besides, the main properties of asymptotically deferred statistical equivalence and strong deferred asymptotically equivalence, some inclusion and equivalence results are given.


2020 ◽  
Vol 26 (1) ◽  
pp. 1-16
Author(s):  
Kevin Vanslette ◽  
Abdullatif Al Alsheikh ◽  
Kamal Youcef-Toumi

AbstractWe motive and calculate Newton–Cotes quadrature integration variance and compare it directly with Monte Carlo (MC) integration variance. We find an equivalence between deterministic quadrature sampling and random MC sampling by noting that MC random sampling is statistically indistinguishable from a method that uses deterministic sampling on a randomly shuffled (permuted) function. We use this statistical equivalence to regularize the form of permissible Bayesian quadrature integration priors such that they are guaranteed to be objectively comparable with MC. This leads to the proof that simple quadrature methods have expected variances that are less than or equal to their corresponding theoretical MC integration variances. Separately, using Bayesian probability theory, we find that the theoretical standard deviations of the unbiased errors of simple Newton–Cotes composite quadrature integrations improve over their worst case errors by an extra dimension independent factor {\propto N^{-\frac{1}{2}}}. This dimension independent factor is validated in our simulations.


Author(s):  
Riet van Bork ◽  
Mijke Rhemtulla ◽  
Lourens J. Waldorp ◽  
Joost Kruis ◽  
Shirin Rezvanifar ◽  
...  

2017 ◽  
Vol 20 (1) ◽  
pp. 332 ◽  
Author(s):  
Agnes Victoria Klein ◽  
Jian Wang ◽  
Brian G. Feagan ◽  
Mark Omoto

On May 12, 2017, various issues and challenges associated with biologics were discussed during a session of the annual joint conference of Canadian Society for Pharmaceutical Sciences and Canadian Chapter of Controlled Release Society at Hyatt Regency Hotel, Montréal, QC, Canada.  An update on the Canadian regulatory guidelines for biosimilars was given, followed by viewpoints expressed by regulatory, academic and industry scientists.  Topics of discussion included: reference biologic drug, clinical considerations, immunogenicity, extrapolation and clarification of terminology, product monograph, international collaboration, switching and interchangeability, naming conventions, clinical and non-clinical evaluation, authorization of indications, statistical equivalence, the nor-switch study and biologics marketplace.


2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Mina S. R. Aziz ◽  
Bruce Nicayenzi ◽  
Meghan C. Crookshank ◽  
Habiba Bougherara ◽  
Emil H. Schemitsch ◽  
...  

The human humerus is the third largest longbone and experiences 2–3% of all fractures. Yet, almost no data exist on its intact biomechanical properties, thus preventing researchers from obtaining a full understanding of humerus behavior during injury and after being repaired with fracture plates and nails. The aim of this experimental study was to compare the biomechanical stiffness and strength of “gold standard” fresh-frozen humeri to a variety of humerus models. A series of five types of intact whole humeri were obtained: human fresh-frozen (n = 19); human embalmed (n = 18); human dried (n = 15); artificial “normal” (n = 12); and artificial “osteoporotic” (n = 12). Humeri were tested under “real world” clinical loading modes for shear stiffness, torsional stiffness, cantilever bending stiffness, and cantilever bending strength. After removing geometric effects, fresh-frozen results were 585.8 ± 181.5 N/mm2 (normalized shear stiffness); 3.1 ± 1.1 N/(mm2 deg) (normalized torsional stiffness); 850.8 ± 347.9 N/mm2 (normalized cantilever stiffness); and 8.3 ± 2.7 N/mm2 (normalized cantilever strength). Compared to fresh-frozen values, statistical equivalence (p ≥ 0.05) was obtained for all four test modes (embalmed humeri), 1 of 4 test modes (dried humeri), 1 of 4 test modes (artificial “normal” humeri), and 1 of 4 test modes (artificial “osteoporotic” humeri). Age and bone mineral density versus experimental results had Pearson linear correlations ranging from R = −0.57 to 0.80. About 77% of human humeri failed via a transverse or oblique distal shaft fracture, whilst 88% of artificial humeri failed with a mixed transverse + oblique fracture. To date, this is the most comprehensive study on the biomechanics of intact human and artificial humeri and can assist researchers to choose an alternate humerus model that can substitute for fresh-frozen humeri.


2005 ◽  
Vol 77 (11) ◽  
pp. 221 A-226 A ◽  
Author(s):  
Giselle B. Limentani ◽  
Moira C. Ringo ◽  
Feng Ye ◽  
Mandy L. Bergquist ◽  
Ellen O. MCSorley

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Kirill Chernomaz ◽  
Hisayuki Yoshimoto

AbstractStructural asymmetric first-price auction estimation methods have provided numerous empirical studies. However, due to the latent nature of underlying valuations, the accuracy of estimates is not feasibly testable with field data, a fact that could inhibit empirical auction market designs and applications based on structural estimates. To assess their accuracy, we provide an analysis of estimates derived from experimental asymmetric auction data, in which researchers observe valuations. We test the null of statistical equivalence between the estimated and true value distributions against the alternative of non-equivalence. When advanced models are used, the Modified Kolmogorov-Smirnov test fails to reject the distributional equivalence, supporting structural asymmetric auction estimations for auction market studies. In addition, recovered efficiencies have plus-minus 2.5 percent precision, compared to the true efficiencies.


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