scholarly journals Development of Mathematical Functions to Predict Deflection of Radial and Bias Tractor Tires on Rigid Surface

2021 ◽  
Vol 9 (12) ◽  
pp. 2226-2232
Author(s):  
Firat Komekci ◽  
Adnan Degirmencioglu
Keyword(s):  
Model Selection ◽  
Selection Criteria ◽  
Stepwise Regression ◽  
Manufacturing Companies ◽  
Rigid Surface ◽  
Inflation Pressure ◽  
Mathematical Functions ◽  
Non Linear ◽  
Prediction Functions ◽  
Good Agreement

The objective of this study was to develop mathematical functions to predict deflection for radial and bias tires. In order to develop the models, the data were obtained from the tire manufacturing companies and organized in Excel first and then transferred to Minitab® for stepwise regression analysis. The variables considered in the study were inflation pressure, load and tire width and overall diameter. Tire width (w) and overall diameter (d) was considered in a multiplication form. The tire deflection models in two different form (linear and non-linear) were developed for both, radial and bias tires. The model selection was achieved by three different criteria and % differences between the measured and predicted data. Based on the results of applying model selection criteria, the models for radial and bias tire in non-linear form were found to be adequate for predicting the tire deflection. The results from the stepwise analysis indicated that the load on tire was the predominant variable in the models and made the highest contribution to the prediction functions. The developed models were verified against to published literature data and found a good agreement.

scholarly journals A Unified Mathematical Formalism for First to Third Order Dielectric Response of Matter: Application to Surface-Specific Two-Colour Vibrational Optical Spectroscopy

Symmetry ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 153 ◽  
Author(s):  
Christophe Humbert ◽  
Thomas Noblet
Keyword(s):  
Dielectric Response ◽  
Structure And Properties ◽  
Linear Optics ◽  
Third Order ◽  
Mathematical Functions ◽  
Sum Frequency ◽  
Non Linear Optics ◽  
Non Linear ◽  
Light Excitation

To take advantage of the singular properties of matter, as well as to characterize it, we need to interact with it. The role of optical spectroscopies is to enable us to demonstrate the existence of physical objects by observing their response to light excitation. The ability of spectroscopy to reveal the structure and properties of matter then relies on mathematical functions called optical (or dielectric) response functions. Technically, these are tensor Green’s functions, and not scalar functions. The complexity of this tensor formalism sometimes leads to confusion within some articles and books. Here, we do clarify this formalism by introducing the physical foundations of linear and non-linear spectroscopies as simple and rigorous as possible. We dwell on both the mathematical and experimental aspects, examining extinction, infrared, Raman and sum-frequency generation spectroscopies. In this review, we thus give a personal presentation with the aim of offering the reader a coherent vision of linear and non-linear optics, and to remove the ambiguities that we have encountered in reference books and articles.

scholarly journals Generalized Measures of Divergence in Survival Analysis and Reliability

2010 ◽  
Vol 47 (1) ◽  
pp. 216-234 ◽  
Author(s):  
Filia Vonta ◽  
Alex Karagrigoriou
Keyword(s):  
Survival Analysis ◽  
Model Selection ◽  
Mutual Information ◽  
Selection Criteria ◽  
Cox Model ◽  
Transformation Model ◽  
Model Selection Criteria ◽  
Divergence Measures

Measures of divergence or discrepancy are used either to measure mutual information concerning two variables or to construct model selection criteria. In this paper we focus on divergence measures that are based on a class of measures known as Csiszár's divergence measures. In particular, we propose a measure of divergence between residual lives of two items that have both survived up to some time t as well as a measure of divergence between past lives, both based on Csiszár's class of measures. Furthermore, we derive properties of these measures and provide examples based on the Cox model and frailty or transformation model.

scholarly journals Non-linear contour-based multidirectional intra coding

2018 ◽  
Vol 7 ◽  
Author(s):  
Thorsten Laude ◽  
Jan Tumbrägel ◽  
Marco Munderloh ◽  
Jörn Ostermann
Keyword(s):  
Model Selection ◽  
Image Coding ◽  
Reference Area ◽  
Selection Algorithm ◽  
Still Image ◽  
Intra Coding ◽  
Coding Efficiency ◽  
Contour Model ◽  
Non Linear ◽  
Contour Models

AbstractIntra coding is an essential part of all video coding algorithms and applications. Additionally, intra coding algorithms are predestined for an efficient still image coding. To overcome limitations in existing intra coding algorithms (such as linear directional extrapolation, only one direction per block, small reference area), we propose non-linear Contour-based Multidirectional Intra Coding. This coding mode is based on four different non-linear contour models, on the connection of intersecting contours and on a boundary recall-based contour model selection algorithm. The different contour models address robustness against outliers for the detected contours and evasive curvature changes. Additionally, the information for the prediction is derived from already reconstructed pixels in neighboring blocks. The achieved coding efficiency is superior to those of related works from the literature. Compared with the closest related work, BD rate gains of 2.16% are achieved on average.

scholarly journals PREDICTIVE MODEL SELECTION CRITERIA FOR BAYESIAN LASSO REGRESSION

2015 ◽  
Vol 28 (1) ◽  
pp. 67-82 ◽  
Author(s):  
Shuichi Kawano ◽  
Ibuki Hoshina ◽  
Kaito Shimamura ◽  
Sadanori Konishi
Keyword(s):  
Model Selection ◽  
Predictive Model ◽  
Selection Criteria ◽  
Lasso Regression ◽  
Bayesian Lasso ◽  
Model Selection Criteria

scholarly journals Using Model Selection Criteria to Choose the Number of Principal Components

2021 ◽  
Vol 20 (3) ◽  
pp. 450-461
Author(s):  
Stanley L. Sclove
Keyword(s):  
Model Selection ◽  
Principal Components ◽  
Bayesian Information Criterion ◽  
Selection Criteria ◽  
Information Criterion ◽  
Information Criteria ◽  
Akaike's Information Criterion ◽  
Model Selection Criteria ◽  
Adequate Number ◽  
Number Of Principal Components

AbstractThe use of information criteria, especially AIC (Akaike’s information criterion) and BIC (Bayesian information criterion), for choosing an adequate number of principal components is illustrated.

scholarly journals ANALISIS PERSAMAAN SIMULTAN DARI TOBIN’S Q, KEPEMILIKAN MANAJERIAL DAN KEBIJAKAN UTANG

2007 ◽  
Vol 9 (1) ◽  
pp. 93
Author(s):  
Wahidawati Wahidawati
Keyword(s):  
Firm Value ◽  
Simultaneous Equation ◽  
Least Square ◽  
Managerial Ownership ◽  
Tobin’S Q ◽  
Agency Conflicts ◽  
Manufacturing Companies ◽  
Tobin's Q ◽  
Non Linear ◽  
Linear Simultaneous Equation

The purpose of this research to estimates a simultaneous equations model with Tobin’s Q (firm value), managerial ownership and debt policy jointly determined within the system. This research is based on the pre¬vious¬ research by Chen and Steiner (2000), which found that managerial ownership tobe a significant and positive determinant of the level Tobin’s Q. Chen and Steiner (1999) observed evidence of subtituons-monitoring effects between managerial ownership and debt policy.The research is focused on manufacturing companies listed in BEJ for periode 1999-2002.The method of data collection is done by using pooling method and give 151 firm year observation.This research uses a non linear simultaneous equation methodology with use the statistical method two stage least square. The result of research provides empirical evidence : First, that managerial ownership has a non linear relation with Tobin’s Q (we find support for both an alignmenteffect and an entrenchment effectin the relationship between managerial ownership and Tobin’s Q. second, The result supports the argument that managerial ownership helps to resolve the agency conflicts between stock holder and manager. The result also indicate that there is not subtitu¬ta¬bi¬li¬ty between debt and managerial ownership.

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