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Estimation of regression equation with cauchy disturbances

Canadian Journal of Statistics, 1977
AbstractIn this paper we present two methods of estimating a linear regression equation with Cauchy disturbances. The first method uses the maximum likelihood principle and therefore the estimators obtained are consistent. The asymptotic covariance is derived which provides with the necessary statistics for the purpose of making inference in large ...
Kadiyala, K. R., Murthy, K. S. R.
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The Establishment and Application of Effort Regression Equation

2008 International Conference on Computer Science and Software Engineering, 2008
To define the reliability and usability of the linearity regression relationship between software size and effort, statistics analysis method was used to validate the regression result and seek for the reliability interval of coefficient b. The application method of the regression result was discussed under the situation that the regression result is ...
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PREDICTIVE VALIDITY OF A LINEAR REGRESSION EQUATION

British Journal of Mathematical and Statistical Psychology, 1975
The squared correlation coefficient, w 2 , between an empirically chosen linear function of predictors, B̂ 0 + B̂′x, and a criterion, y , is employed as a measure of predictive precision.
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Nonlinear regression and the solution of simultaneous equations

Communications of the ACM, 1962
If one has a set of observables ( z 1 , ··· , z m ) which are bound in a relation with certain parameters ( a 1 , ··· , a n ) by an ...
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Systems of Regression Equations

2015
Alfred Cowles III hailed from an established Chicago publishing family, his father and uncle having founded the Chicago Tribune and Cleveland Leader, respectively (Grier, 2013). For a short time after WWI Cowles successfully ran a Chicago investment firm that acquired and restructured small railroads.
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FROM GROWTH REGRESSIONS TO SYSTEMS OF EQUATIONS

Journal of International Commerce, Economics and Policy, 2011
The literature on the effects of aid and remittances as a share of GDP on growth of the GDP per capita has placed much emphasis on growth regressions thereby emphasising only the direct effects on growth. In order to get the total effect one has to capture the indirect ones too and integrate them with the direct effects.
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A Regression Equation for Determining the Dimensionality of Data

Multivariate Behavioral Research, 2000
Parallel analysis has received much support and attention as a criterion for using eigenvalues to determine the dimensionality of data. Parallel analysis compares sample eigenvalues to expected eigenvalues of a sample from a correlation matrix generated by independent normally distributed random variables.
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Orthogonal Regression Equation

1984
Calibration of a new thromboplastin against an already calibrated one may be considered as a problem of determining the relationship between two different quantifications of a coumarininduced coagulation defect. One quantification (say X) corresponds with the new thromboplastin, the other quantification (say Y) corresponds with the already calibrated ...
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The Efficiencies of Alternative Estimators for an Asymptotic Regression Equation

Biometrika, 1958
SUMMARY Methods for the estimation of the parameter p in equation (1) have been discussed, this equation representing the expectation of observations on a quantity y for a specified value of x. The methods all involve taking as the estimator the ratio of either two linear functions or two quadratic functions of the observed y.
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Symbolic Regression of Implicit Equations

2009
Traditional Symbolic Regression applications are a form of supervised learning, where a label y is provided for every \(\vec{x}\) and an explicit symbolic relationship of the form \(y = f(\vec{x})\) is sought. This chapter explores the use of symbolic regression to perform unsupervised learning by searching for implicit relationships of the form \(f ...
Michael Schmidt, Hod Lipson
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