Предельные совместные распределения статистик трех критериев пакета NIST

2021 ◽  
Vol 33 (3) ◽  
pp. 92-106
Author(s):  
Максим Павлович Савелов ◽  
M P Savelov

Найдены совместное распределение и предельное совместное распределение статистик следующих критериев пакета NIST: «Monobit Test», «Frequency Test within a Block» и «Cumulative Sums Test» в случае, когда исследуемая последовательность имеет распределение Бернулли. В случае, когда в критерии «Frequency Test within a Block» используются два блока, найдены попарные ковариации данных статистик.

2021 ◽  
Vol 33 (2) ◽  
pp. 141-154
Author(s):  
Максим Павлович Савелов ◽  
M P Savelov

Найдено предельное совместное распределение статистик следующих критериев пакета НИСТ: «Monobit Test», «Frequency Test within a Block», «Runs Test» и обобщения критерия шаблонов «Non-overlapping Template Matching Test» в ситуации, когда исследуемая последовательность является бернуллиевской с параметром $p$. Отдельно рассматривается случай $p=\frac12 $. Установлены необходимые и достаточные условия асимптотической некоррелированности, а также необходимые и достаточные условия асимптотической независимости рассматриваемых статистик.


1969 ◽  
Vol 29 (1) ◽  
pp. 43-49
Author(s):  
Alfred G. Klipple ◽  
Lynn M. Scelfo

3 experiments involving 48 Ss were conducted to study the effects of four variables (event frequency, test frequency, task difficulty, and mode of responding) on performance in a prolonged discrimination task. As in the typical vigilance study, decrements in performance were observed over time. The variables which generally affect the decrements in the vigilance task, however, did not produce significant effects when continuous discriminations were required.


Author(s):  
Abdul Hallis Abdul Aziz ◽  
Siti Azura Abuzar ◽  
Mas Elyna Azol ◽  
Nurol Husna Che Rose ◽  
Rohaslida Liyana Mohmad

Author(s):  
Isaac See ◽  
Prabasaj Paul ◽  
Rachel B Slayton ◽  
Molly K Steele ◽  
Matthew J Stuckey ◽  
...  

Abstract Background Identifying asymptomatic individuals early through serial testing is recommended to control coronavirus disease 2019 (COVID-19) in nursing homes, both in response to an outbreak (“outbreak testing” of residents and healthcare personnel) and in facilities without outbreaks (“nonoutbreak testing” of healthcare personnel). The effectiveness of outbreak testing and isolation with or without nonoutbreak testing was evaluated. Methods Using published SARS-CoV-2 transmission parameters, the fraction of SARS-CoV-2 transmissions prevented through serial testing (weekly, every 3 days, or daily) and isolation of asymptomatic persons compared with symptom-based testing and isolation was evaluated through mathematical modeling using a Reed-Frost model to estimate the percentage of cases prevented (ie, “effectiveness”) through either outbreak testing alone or outbreak plus nonoutbreak testing. The potential effect of simultaneous decreases (by 10%) in the effectiveness of isolating infected individuals when instituting testing strategies was also evaluated. Results Modeling suggests that outbreak testing could prevent 54% (weekly testing with 48-hour test turnaround) to 92% (daily testing with immediate results and 50% relative sensitivity) of SARS-CoV-2 infections. Adding nonoutbreak testing could prevent up to an additional 8% of SARS-CoV-2 infections (depending on test frequency and turnaround time). However, added benefits of nonoutbreak testing were mostly negated if accompanied by decreases in infection control practice. Conclusions When combined with high-quality infection control practices, outbreak testing could be an effective approach to preventing COVID-19 in nursing homes, particularly if optimized through increased test frequency and use of tests with rapid turnaround.


Author(s):  
C. Bazile ◽  
J.-F. Delaune ◽  
X. Deplancq ◽  
J. Eudes ◽  
G. Lesthievent ◽  
...  
Keyword(s):  

2013 ◽  
Vol 779-780 ◽  
pp. 1260-1265 ◽  
Author(s):  
Zhi Ling Hao ◽  
Feng Wang ◽  
Hai Zhen Yang

Heavy metal contents (Cr, Ni, Cu, Zn, As, Cd, Hg, Pb) have been measured in 40 surface soils on Ny-Alesund, Spitsbergen Island, Arctic, which were in concentrations (in milligrams kilogram1) of 13.3-127 (Cr), 1.72-38.8 (Ni), 7.84-47.3 (Cu), 26.5-123 (Zn), 2.17-9.22 (As), 0-2.4 (Cd), 0.21-0.38 (Hg), 0-129 (Pb). Relative cumulative sums analysis and relative cumulative frequency analysis were used to determine the baseline values for the 8 metals, yielding values of Cr (24.7 mg/kg), Ni (6.24 mg/kg) , Cu (11.5 mg/kg) , Zn (77.3 mg/kg) , As (2.60 mg/kg) , Hg (0.27 mg/kg) , Pb (4.38mg/kg). Geo-accumulation index method was applied in order to determine the extent of anthropogenic contamination. Principal component analysis was put into use aiming to identify the sources of these heavy metals. The results showed that Pb, Cr, Cd and Hg have been significantly elevated in concentration by human activities.


2021 ◽  
Author(s):  
Ledymar F. Moreno ◽  
Marcus V. G. de Morais ◽  
Suzana M. Avila

2021 ◽  
Vol 03 (01) ◽  
pp. 25-31
Author(s):  
Peter Krammer ◽  
Marcel Kvassay ◽  
Ladislav Hluchý

In this article, building on our previous work, we engage in spatiotemporal modelling of transport demand in the Montreal metropolitan area over the period of six years. We employ classical machine learning and regression models, which predict bike-sharing demand in the form of daily cumulative sums of bike trips for each considered docking station. Hourly estimates of demand are then determined by considering the statistical distribution of demand across individual hours of an average day. In order to capture seasonal and other regular variation of demand, longer-term distribution characteristics of bike trips, such as their average number falling on each day of the week, month of the year, etc., were also used as input attributes. We initially conjectured that weather would be an important source of irregular variation in bike-sharing demand, and subsequently included several available meteorological variables in our models. We validated our models by Hold-Out and 10-Fold Cross-Validation, with encouraging results.


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