Browsing Mathematics and Computer Studies (Peer-reviewed publications) by Author "Ramirez, Donald E."
Now showing items 1-6 of 6
-
Anomalies of the magnitude of the bias of the maximum likelihood estimator of the regression slope
O'Driscoll, Diarmuid; Ramirez, Donald E. (Athens Institute for Education and Research, 2015)The slope of the best-fit line y h x x 0 1 ( ) from minimizing a function of the squared vertical and horizontal errors is the root of a polynomial of degree four which has exactly two real roots, one positive and ... -
Geometric view of measurement errors
O'Driscoll, Diarmuid; Ramirez, Donald E. (Taylor and Francis, 2011)The slope of the best fit line from minimizing the sum of the squared oblique errors is the root of a polynomial of degree four. This geometric view of measurement errors is used to give insight into the performance of ... -
An investigation of the performance of five different estimators in the measurement error regression model
O'Driscoll, Diarmuid; Ramirez, Donald E. (Athens Institute for Education and Research, 2015)In a comprehensive paper by Riggs et al.(1978) the authors analyse the performances of numerous estimators for the regression slope in the measurement error model with positive measurement error variances >0 0 for X and ... -
Minimizing oblique errors for robust estimating
O'Driscoll, Diarmuid; Ramirez, Donald E.; Schmitz, Rebecca (Irish Mathematical Society, 2008)The slope of the best fit line from minimizing the sum of the squared oblique errors is shown to be the root of a polynomial of degree four. We introduce a median estimator for the slope and, using a case study, we show ... -
Mitigating collinearity in linear regression models using ridge, surrogate and raised estimators
O'Driscoll, Diarmuid; Ramirez, Donald E. (Cogent OA, 2016)Collinearity in the design matrix is a frequent problem in linear regression models, for example, with economic or medical data. Previous standard procedures to mitigate the effects of collinearity included ridge regression ... -
Response surface designs using the generalized variance inflation factors
O'Driscoll, Diarmuid; Ramirez, Donald E. (Cogent OA, 2015)We study response surface designs using the generalized variance inflation factors for subsets as an extension of the variance inflation factors.