A Note on the Coefficient of Determination in Models with Infinite Variance Variables

Kurz‐Kim, Jeong‐Ryeol; Loretan, Mico

doi:10.17016/ifdp.2007.895

Cited by 5 publications

(3 citation statements)

References 35 publications

(33 reference statements)

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“…The R 2 quantifies the proportion of variance in the measurement points that is explained by the model. A higher R 2 indicates a better fit to the data [9] and is defined as:…”

Section: Out-of-sample Evaluationmentioning

confidence: 99%

Creating a Virtual Shadow of the Manufacturing of Automotive Components

Barlo,

Aeddula,

Chezan

et al. 2024

IOP Conf. Ser.: Mater. Sci. Eng.

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Within the automotive industry, there is an increasing demand for a paradigm shift in terms of which materials are used for the manufacturing of the automotive body. Global climate goals are forcing a rapid adaption of new, advanced, sustainable material grades such as the fossil free steels and materials containing higher scrap content. With the introduction of these new and untested materials, methods for accounting for variation in material properties are needed directly in the press lines. The following study will focus on creating an initial virtual shadow of the manufacturing of a Volvo XC90 inner door panel through the application of Artificial Neural Networks (ANN). The virtual shadow differs from the concept of the digital twin by only being a virtual representation of the production line, with training data generated exclusively by numerical simulations, and having no automated communication with the physical press line control system. The virtual shadow can be used as an assistance to the press line operators to see how different press line settings and material parameter variations will impact the quality of the stamped component. The study aims to validate the virtual shadow through accurate predictions of the material draw-in measured in the physical press line.

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“…The R 2 quantifies the proportion of variance in the measurement points that is explained by the model. A higher R 2 indicates a better fit to the data [9] and is defined as:…”

Section: Out-of-sample Evaluationmentioning

confidence: 99%

Creating a Virtual Shadow of the Manufacturing of Automotive Components

Barlo,

Aeddula,

Chezan

et al. 2024

IOP Conf. Ser.: Mater. Sci. Eng.

View full text Add to dashboard Cite

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“…One could calculate the regression coefficients in the following way [13]. Regression parameters could be estimated on the basis of random point values that are written in the following form:…”

Section: Constructing the Mathematical Ratios Between The Basic Parameters Of The 80211 Standard Wireless Channel And The Level Of Fluctumentioning

confidence: 99%

“…Expression (13) shows that a fluctuation dependence coefficient demonstrates the dependence between the average statistical values of the ΔP and ΔV fluctuation intervals in empirical studies and depends on the variances of the initial levels of regression models.…”

Section: Determining the Statistical Relazztionship Between Fluctuations In The Basic Parameters Of The 80211 Standard Wireless Channelmentioning

confidence: 99%

Devising a technique to evaluate fluctuations in the main parameters of a wireless channel of the 802.11 standard

Mykhalevskiy

2020

EEJET

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which makes it possible to take into consideration the maximum possible number of factors of influence based on a statistical relation between the main channel parameters. However, the issue of assessing the fluctuations themselves is given quite a little attention, and their evaluation requires a significant number of observation periods and additional statistical processing of the results. In addition, observations should be carried out for different standards and, to improve the reliability and take into consideration all factors of influence, the time between observation periods may cover days, weeks, and months. Therefore, it is a relevant task to find mathematical ratios that could produce, based on them, such an assessment of the level of fluctuations in the basic channel parameters that would be similar to that obtained from empirical studies at a lower time cost. Literature review and problem statementA study reported in work [5] shows that obtaining access to the Internet requires that a signal level should not be lower than 60 dBm. With an increase in the channel length and the presence of architectural obstacles, the

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