Systematic and random errors in ion affinities and activation entropies from the extended kinetic method

2004 ◽  
Vol 39 (9) ◽  
pp. 1004-1015 ◽  
Author(s):  
Kent M. Ervin ◽  
P. B. Armentrout
Keyword(s):  
Kinetic Method ◽  
Random Errors ◽  
Systematic And Random Errors

Statistics and parallaxes

1978 ◽  
Vol 48 ◽  
pp. 7-29
Author(s):  
T. E. Lutz
Keyword(s):  
Experimental Design ◽  
Statistical Methods ◽  
Review Paper ◽  
Systematic Errors ◽  
Past Experience ◽  
Random Errors ◽  
Trigonometric Parallaxes ◽  
Systematic And Random Errors

This review paper deals with the use of statistical methods to evaluate systematic and random errors associated with trigonometric parallaxes. First, systematic errors which arise when using trigonometric parallaxes to calibrate luminosity systems are discussed. Next, determination of the external errors of parallax measurement are reviewed. Observatory corrections are discussed. Schilt’s point, that as the causes of these systematic differences between observatories are not known the computed corrections can not be applied appropriately, is emphasized. However, modern parallax work is sufficiently accurate that it is necessary to determine observatory corrections if full use is to be made of the potential precision of the data. To this end, it is suggested that a prior experimental design is required. Past experience has shown that accidental overlap of observing programs will not suffice to determine observatory corrections which are meaningful.

scholarly journals Evaluation of the SteamVR Motion Tracking System with a Custom-Made Tracker

2021 ◽  
Vol 11 (14) ◽  
pp. 6390
Author(s):  
Marcin Maciejewski
Keyword(s):  
Motion Tracking ◽  
Tracking System ◽  
Training System ◽  
Random Errors ◽  
Operational Conditions ◽  
Custom Made ◽  
Systematic And Random Errors ◽  
Position And Orientation ◽  
Motion Tracking System ◽  
System Operating

The paper presents the research of the SteamVR tracker developed for a man-portable air-defence training system. The tests were carried out in laboratory conditions, with the tracker placed on the launcher model along with elements ensuring the faithful reproduction of operational conditions. During the measurements, the static tracker was moved and rotated in a working area. The range of translations and rotations corresponded to the typical requirements of a shooting simulator application. The results containing the registered position and orientation values were plotted on 3D charts which showed the tracker’s operation. Further analyses determined the values of the systematic and random errors for measurements of the SteamVR system operating with a custom-made tracker. The obtained results with random errors of 0.15 mm and 0.008° for position and orientation, respectively, proved the high precision of the measurements.

scholarly journals Quantifying and minimising systematic and random errors in X-ray micro-tomography based volume measurements

2015 ◽  
Vol 77 ◽  
pp. 1-7 ◽  
Author(s):  
Q. Lin ◽  
S.J. Neethling ◽  
K.J. Dobson ◽  
L. Courtois ◽  
P.D. Lee
Keyword(s):  
Random Errors ◽  
X Ray ◽  
Volume Measurements ◽  
Systematic And Random Errors ◽  
Micro Tomography

scholarly journals Systematic and random errors between collocated satellite ice water path observations

2013 ◽  
Vol 118 (6) ◽  
pp. 2629-2642 ◽  
Author(s):  
S. Eliasson ◽  
G. Holl ◽  
S. A. Buehler ◽  
T. Kuhn ◽  
M. Stengel ◽  
...  
Keyword(s):  
Random Errors ◽  
Water Path ◽  
Ice Water Path ◽  
Systematic And Random Errors ◽  
Ice Water

scholarly journals Wavelet Modeling of Control Stochastic Systems at Complex Shock Disturbances

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2544
Author(s):  
Igor Sinitsyn ◽  
Vladimir Sinitsyn ◽  
Eduard Korepanov ◽  
Tatyana Konashenkova
Keyword(s):  
Control System ◽  
Stochastic Systems ◽  
Wavelet Expansion ◽  
Accuracy Analysis ◽  
Information Control ◽  
Random Errors ◽  
Stochastic Effects ◽  
Experimental Software ◽  
Systematic And Random Errors ◽  
The Galerkin Method

This article is devoted to the development of methodological supports and experimental software tools for accuracy analysis and information processing in control stochastic systems (CStS) with complex shock disturbances (ShD) by means of wavelet Haar–Galerkin technologies. Basic new results include methods and algorithms of stochastic covariance analysis and modeling on the basis of the Galerkin method and wavelet expansion for linear, linear with parametric noises, and quasilinear CStS with ShD. Results are illustrated by an information-control system at ShD. New stochastic effects accumulation for systematic and random errors are detected and investigated.

scholarly journals Tropospheric ozone from IASI: comparison of different inversion algorithms and validation with ozone sondes in the northern middle latitudes

2009 ◽  
Vol 9 (3) ◽  
pp. 11441-11479 ◽  
Author(s):  
C. Keim ◽  
M. Eremenko ◽  
J. Orphal ◽  
G. Dufour ◽  
J.-M. Flaud ◽  
...  
Keyword(s):  
Tropospheric Ozone ◽  
Concentration Profiles ◽  
Random Errors ◽  
Statistical Validation ◽  
Middle Latitudes ◽  
Atmospheric Sounding ◽  
Systematic And Random Errors ◽  
Mean Differences ◽  
Vertical Ozone ◽  
Different Sources

Abstract. This paper presents a first statistical validation of tropospheric ozone products derived from measurements of the satellite instrument IASI. Since end of 2006, IASI (Infrared Atmospheric Sounding Interferometer) aboard the polar orbiter Metop-A measures infrared spectra of the Earth's atmosphere in nadir geometry. This validation covers the northern mid-latitudes and the period from July 2007 to August 2008. The comparison of the ozone products with the vertical ozone concentration profiles from balloon sondes leads to estimates of the systematic and random errors in the IASI ozone products. The intercomparison of the retrieval results from four different sources (including the EUMETSAT ozone products) shows systematic differences due to the used methods and algorithms. On average the tropospheric columns have a small bias of less than 2 Dobson Units (DU) when compared to the sonde measured columns. The comparison of the still pre-operational EUMETSAT columns shows higher mean differences of about 5 DU.

scholarly journals Comparative analysis methods of assessment of commodity structure of spruce stands

2020 ◽  
Author(s):  
И.В. Никифорчин ◽  
М.О. Гурьянов ◽  
Д.А. Шулыгина
Keyword(s):  
Comparative Analysis ◽  
Product Structure ◽  
Random Errors ◽  
Quality Of Work ◽  
Urgent Task ◽  
Actual Output ◽  
Spruce Stands ◽  
Systematic And Random Errors ◽  
Accuracy Of Results

В последние годы снизилось качество работ по отводу и таксации лесосек. Существующие и применяемые в таксации методы не обеспечивают необходимую точность конечных результатов, поскольку их использование часто не соответствует требованиям «Наставления по отводу и таксации лесосек». Таким образом, актуальной задачей становится изучение ошибок в определении товарной структуры древостоев и выявление возможных причин их возникновения с целью дальнейшего совершенствования лесотаксационных работ. На основании материалов таксации постоянных пробных площадей ели европейской была выполнена материально-денежная оценка древостоев по сортиментным и товарным таблицам, произведен расчет грубых, систематических и случайных ошибок выхода крупной, средней, мелкой деловой древесины, дров, ликвидной древесины и отходов. Для оценки влияния различных факторов на появление и величину ошибок были выполнены корреляционный и однофакторный дисперсионный анализы. Проведенный анализ позволил установить, что основными показателями, оказывающими влияние на расхождения в выходе сортиментов различных категорий древесины, при использовании товарных и сортиментных таблиц, являются средние высоты древостоев, а также разряды высот. Это связано с малым числом значений высот, представленных для каждой из ступеней толщины в товарных таблицах. Сортиментные таблицы, в силу большей вариабельности данного таксационного показателя, позволяют более точно определять товарную структуру древостоев. Выявленные закономерности демонстрируют необходимость совершенствования сортиментных и товарных таблиц для уменьшения расхождения получаемых результатов с фактическим выходом сортиментов, что позволит повысить качество лесотаксационных работ. In recent years, the quality of work on the allocation and taxation of cutting areas has decreased. Existing methods used in the taxation do not provide the required accuracy of results since their application often does not meet the criteria of the “Manual on the allocation and taxation of cutting areas”. Thus, the study of errors in determining the product structure of forest stands as well as identifying possible causes for their occurrence in order to improve forest taxation works becomes an urgent task. Based on the taxation materials of the permanent European spruce plots, material and monetary assessment of the stands was made using assortment and commodity tables, and gross, systematic, and random errors of the output of large, medium, small commercial timber, firewood, liquid wood, and waste were calculated. Сorrelation analysis and one-way analysis of variance were performed to assess the influence of various factors on the appearance and magnitude of the errors. The analysis made it possible to establish that the main indicators that influence the discrepancies in the output of assortments of different categories of wood, when using commodity and assortment tables, are the average heights of stands, as well as height categories. This is due to the small number of height values presented for each of the thickness steps in the product tables. Assortment tables, due to the greater variability of this taxation indicator, allow you to more accurately determine the product structure of stands. The revealed patterns demonstrate the high need to improve assortment and commodity tables in order to reduce the discrepancy between obtained results and the actual output of assortments, which will improve the quality of forest taxation work.

scholarly journals The Importance of the Solids Loading on Confirming the Dielectric Nanosize Dependence of BaTiO3Powders by Slurry Method

2013 ◽  
Vol 2013 ◽  
pp. 1-3 ◽  
Author(s):  
Wei Zhou ◽  
Yi Mei Nie ◽  
Shu Jing Li ◽  
Hai Yan Liang
Keyword(s):  
Particle Size ◽  
High Frequency ◽  
Random Errors ◽  
High Permittivity ◽  
Dielectric Spectra ◽  
Solids Loading ◽  
Slurry Method ◽  
Systematic And Random Errors ◽  
Previous Prediction ◽  
Good Agreement

The dielectric nanosize dependence of BaTiO3powders was investigated by the slurry method, where two series of BaTiO3slurries with 10 vol% and 30 vol% solids loadings were prepared as model samples. Applying the Bruggeman-Hanai equation, the high-frequency limiting permittivity (εh) of the slurries was extracted from the dielectric spectra. Theεhof the 10 vol% slurry showed abnormal size independence in the range from 100 nm to 700 nm, and theεhof the 30 vol% slurry exhibited good agreement with the previous prediction. Through analysing quantitatively the response ofεhto the changing permittivity of the powders under different solids loading, it was found that theεhof the slurry with lower solids loading is more inclined to be interfered by the systematic and random errors. Furthermore, a high permittivity value was found in the BaTiO3powders with 50 nm particle size.

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