Research and Experiment on Nonlinear Correction Algorithm of Metal Tube Rotameter

2011 ◽  
Vol 301-303 ◽  
pp. 1123-1127
Author(s):  
Gao Zhan Shen ◽  
Tao Zhang ◽  
Ying Xu ◽  
Yan Xing Wei

The calibration curve of some metal tube rotameter has the characteristic of mutation. If the nonlinear least square method is still used as the method of linear correction, it will increase the measurement error and reduce the measurement accuracy. This paper presents a Division Ordinary Least Squares Method, which can reduce errors and improve accuracy. By the algorithm comparative experiment it can be proved that the method can improve the measurement accuracy.

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Özgür Yeniay ◽  
Öznur İşçi ◽  
Atilla Göktaş ◽  
M. Niyazi Çankaya

Study of dynamic equations in time scale is a new area in mathematics. Time scale tries to build a bridge between real numbers and integers. Two derivatives in time scale have been introduced and called as delta and nabla derivative. Delta derivative concept is defined as forward direction, and nabla derivative concept is defined as backward direction. Within the scope of this study, we consider the method of obtaining parameters of regression equation of integer values through time scale. Therefore, we implemented least squares method according to derivative definition of time scale and obtained coefficients related to the model. Here, there exist two coefficients originating from forward and backward jump operators relevant to the same model, which are different from each other. Occurrence of such a situation is equal to total number of values of vertical deviation between regression equations and observation values of forward and backward jump operators divided by two. We also estimated coefficients for the model using ordinary least squares method. As a result, we made an introduction to least squares method on time scale. We think that time scale theory would be a new vision in least square especially when assumptions of linear regression are violated.


2013 ◽  
Vol 805-806 ◽  
pp. 716-720
Author(s):  
Tao Xu ◽  
Tian Long Shao ◽  
Dong Fang Zhang

Combined with the contents of the study-PSS low-pass link parameter identification. Least-squares method is selected. Using least-square method for PSS low-pass link mathematical model are also deduced. For the results, because of the mathematical model is solving nonlinear equations, cannot used by the Newton method directly. So we choose to use Newton iterations, with this feature, choose to use MATLAB software to solve the equation. Identification of the use of MATLAB software lags after the PSS parameters obtained recognition results compared with national standards, identifying and verifying the practicability.


2013 ◽  
Vol 278-280 ◽  
pp. 1323-1326
Author(s):  
Yan Hua Yu ◽  
Li Xia Song ◽  
Kun Lun Zhang

Fuzzy linear regression has been extensively studied since its inception symbolized by the work of Tanaka et al. in 1982. As one of the main estimation methods, fuzzy least squares approach is appealing because it corresponds, to some extent, to the well known statistical regression analysis. In this article, a restricted least squares method is proposed to fit fuzzy linear models with crisp inputs and symmetric fuzzy output. The paper puts forward a kind of fuzzy linear regression model based on structured element, This model has precise input data and fuzzy output data, Gives the regression coefficient and the fuzzy degree function determination method by using the least square method, studies the imitation degree question between the observed value and the forecast value.


2018 ◽  
Vol 17 (1) ◽  
pp. 29-54
Author(s):  
Taíse Fatima Mattei ◽  
Fernanda Mendes Bezerra ◽  
Gilmar Ribeiro de Mello

Resumo: Uma das formas de um governo atuar na economia é na alocação dos gastos públicos. Os gastos públicos têm o objetivo de contribuir para o fornecimento de serviços públicos para a população, e também para a geração de investimentos na economia. Muitas vezes, questiona-se se esses gastos podem, de fato, contribuir para a melhoraria da vida das pessoas. Dessa forma, entender se as despesas públicas têm relação com o nível de desenvolvimento humano é importante para a tomada de decisão dos governantes e para melhorar a gestão dos gastos públicos, principalmente para direcionar em quais áreas devem ser gastos os recursos. Diante disso, o objetivo com este artigo foi verificar qual a contribuição das despesas públicas per capita por funções para o nível de desenvolvimento humano dos estados brasileiros. O método adotado é a regressão múltipla estimada pelo método de mínimos quadrados ordinários utilizando dados em painel. Os dados são provenientes do IBGE, PNUD e IPEA DATA. Os resultados sugerem que algumas despesas possuem contribuição positiva para o desenvolvimento dos estados. Analisando o modelo com todas as despesas na mesma regressão, saúde e educação apresentaram relação positiva para aumentar o IDHM. Analisando os modelos em regressões isoladas, as despesas com assistência e previdência, educação, saúde e segurança e transporte confirmaram impacto positivo sobre o nível de desenvolvimento dos estados. Destaca-se a importância das despesas com saúde e educação, as quais se apresentaram influenciáveis no desenvolvimento nas duas abordagens realizadas.Palavras-chave: Despesas Públicas. Índice de Desenvolvimento Humano. Estados brasileiros. Public expenditure and human development level of Brazilian states: an analysis of IDHM 2000 and 2010 Abstract: One of the ways for a government to act in the economy is in the allocation of public expenditures. Public expenditures aim to contribute to the provision of public services to the population, as well as to the generation of investments in the economy. It is often questioned whether such expenditures can actually contribute to the improvement of people's lives. Thus, understanding whether public expenditures arerelated to the level of human development is important for government decision-making, and to improve the management of public expenditures, mainly to target the areas in which resources should be spent. Therefore, the objective of this article is to verify the contribution of public expenditure per capita by functions to the level of human development of the Brazilian states. The method adopted is the multiple regression estimated by the ordinary least squares method using panel data. The data comes from IBGE, UNDP and IPEA DATA. The results suggest that some expenses have a positive contribution to the development of the states. Analyzing the model with all expenses in the same regression, health and education presented positive relation to increase the HDI. Analyzing the models in isolated regressions, assistance and pension, education, health, safety and transportation expenses confirmed a positive impact on the level of development of the states. It is important to highlight the importance of health and education expenditures, which were influential in the development of the two approaches.Keywords: Public Expenditure. Human Development Index. Brazilian states.


Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 278
Author(s):  
Ming-Feng Yeh ◽  
Ming-Hung Chang

The only parameters of the original GM(1,1) that are generally estimated by the ordinary least squares method are the development coefficient a and the grey input b. However, the weight of the background value, denoted as λ, cannot be obtained simultaneously by such a method. This study, therefore, proposes two simple transformation formulations such that the unknown parameters, and can be simultaneously estimated by the least squares method. Therefore, such a grey model is termed the GM(1,1;λ). On the other hand, because the permission zone of the development coefficient is bounded, the parameter estimation of the GM(1,1) could be regarded as a bound-constrained least squares problem. Since constrained linear least squares problems generally can be solved by an iterative approach, this study applies the Matlab function lsqlin to solve such constrained problems. Numerical results show that the proposed GM(1,1;λ) performs better than the GM(1,1) in terms of its model fitting accuracy and its forecasting precision.


2021 ◽  
Vol 3 (1) ◽  
pp. 10-16
Author(s):  
Arin Jannah Dinonasih ◽  

This study aims to investigate the impact of money demand motive on a money supply based on keyness theory. The method used in this study is the ordinary least squares method with an annual period from 2011 to 2020. We find that In Indonesia, the money demand motive has a significant effect on money supply where the transaction motive has a significant negative relationship with the money supply. A precautionary motive has a significant positive correlation with the money supply. The motive of speculation has a significant positive relationship with the money supply.


2012 ◽  
Vol 260-261 ◽  
pp. 342-347
Author(s):  
Zheng Ma ◽  
Guan Bo Wang

This paper designs a camera-oriented smart car along with specialized intelligent control algorithms. MC9S12XS128 is chosen as the central processing unit and a CCD sensor along with peripheral circuit is designed as the camera module. The proposed system integrates technologies of intelligent control, Micro-Electro-Mechanism System (MEMS), System on Chip (SOC), wireless communication and low power consumption embedded technology, realizing autonomous navigation while tracking the path. In the paper, the extraction of path information is streamlined, where dynamic threshold method is used for image binarization and path optimization is done with least square method. Control algorithms are highlighted, where servo control incorporates least squares method creatively and the DC motor control, forming a closed-loop system with a rotatory encoder, adopts incremental PID control algorithm.


1985 ◽  
Vol 15 (2) ◽  
pp. 331-340 ◽  
Author(s):  
T. Cunia ◽  
R. D. Briggs

To construct biomass tables for various tree components that are consistent with each other, one may use linear regression techniques with dummy variables. When the biomass of these components is measured on the same sample trees, one should also use the generalized rather than ordinary least squares method. A procedure is shown which allows the estimation of the covariance matrix of the sample biomass values and circumvents the problem of storing and inverting large covariance matrices. Applied to 20 sets of sample tree data, the generalized least squares regressions generated estimates which, on the average were slightly higher (about 1%) than the sample data. The confidence and prediction bands about the regression function were wider, sometimes considerably wider than those estimated by the ordinary weighted least squares.


2014 ◽  
Vol 15 (1) ◽  
pp. 189-202 ◽  
Author(s):  
Eduardo Tomé ◽  
Iuliia Naidenova ◽  
Marina Oskolkova

Purpose – The purpose of this paper is to present a framework that helps to analyze the dependence between personal welfare and individual (personal) intellectual capital (IIC). The authors also introduce the system of proxy indicator for personal intellectual capital (IC) of football coaches. Design/methodology/approach – This paper employs the idea that personal welfare depends on personal IC, particularly, talent. That is why initially the literature analysis of welfare phenomenon was provided. Then the system of available proxy indicators of football coaches’ IC was designed. To achieve the purpose a linear function is estimated with the help of ordinary least squares method. Findings – The chosen set of IC proxy indicators explain the significant part of coaches’ salary. Such proxies as improvement in the championship table and coach's image in media have a significant and positive influence on coach's salary. Whereas, lowering the position of the club does not considerably affect the coach's wealth. A clubs’ financial capacities and budget also influences coaches’ salaries. Research limitations/implications – Traditional limitation of proxy indicators-based studies is connected with their eligibility and complexity. Practical implications – The possibility to codify IC of a person enables to analyze core competencies necessary in a particular activity or profession for success achievement. Moreover a policy of inequality reduction should take into account that intangible assets are at the base of those persons wealth. Originality/value – This is the first paper that employs IC concept to people wealth while previous literature is dedicated to companies’ or countries’ IC.


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