2010, Special Issuehttp://hdl.handle.net/123456789/104822019-06-17T22:38:16Z2019-06-17T22:38:16ZComparison of some estimation methods in linear regressionGenç, AşırTekşen, Ümran M.Altındağ, İlkayhttp://hdl.handle.net/123456789/104922018-04-28T00:01:38Z2010-01-01T00:00:00ZComparison of some estimation methods in linear regression
Genç, Aşır; Tekşen, Ümran M.; Altındağ, İlkay
In this study, we are informed about some methods as alternatives to the classical least squares methods which are used for simple linear and multiple linear regression analysis. In short, linear regression model is shown via matrix as;Y=X?+? where Y is the vector belonging to dependent variable, X is the design matrix of independent variables, ? is the parameter vector, ?is the vector belonging to error terms, so the least squares estimator of the linear regression is shown by?=(X^{?-1}X?Y) Alternative methods have emerged on the purpose of outliers' existing in observations unlike the least squares estimation, data's not providing the regression assumptions or using of the previous information about parameters as well. In the study, we are informed about the least absolute deviations regression apart from the least squares method, artificial neural networks, M-regression, the nonparametric regression and Bayesian regression. On the purpose of comparison of the methods' results, numerical results are derived by using the temperature variation data in Antalya and Fethiye regions for simple regression analysis and variables affecting the fuel percentage in crude oil for multiple regression analysis.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/248
2010-01-01T00:00:00ZInequalities for quaternion matricesUlukök, ZübeydeTürkmen, Ramazanhttp://hdl.handle.net/123456789/104912018-04-28T00:01:39Z2010-01-01T00:00:00ZInequalities for quaternion matrices
Ulukök, Zübeyde; Türkmen, Ramazan
In this paper, we present the trace inequalities for the product of powers of quaternion positive semidefinite matrices by handing some inequalities which previously obtained any complex matrices.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/247
2010-01-01T00:00:00ZOn computing lth (l=2p, p∈N) powers for one type even order antipentadiagonal matrixKıyak, HümeyraGürses, İremBozkurt, Durmuşhttp://hdl.handle.net/123456789/104902018-04-28T00:01:39Z2010-01-01T00:00:00ZOn computing lth (l=2p, p∈N) powers for one type even order antipentadiagonal matrix
Kıyak, Hümeyra; Gürses, İrem; Bozkurt, Durmuş
In this paper, we derive the general expression of the lth (l=2p, p?N) power for one type of even order antipentadiagonal matrix.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/246
2010-01-01T00:00:00ZThe algebraic properties of horadam polynomialsTaşkara, NecatiUslu, KemalGüleç, H. Hüseyinhttp://hdl.handle.net/123456789/104892018-04-28T00:01:39Z2010-01-01T00:00:00ZThe algebraic properties of horadam polynomials
Taşkara, Necati; Uslu, Kemal; Güleç, H. Hüseyin
In this study, it is given new algebraic properties related to Horadam polynomials. Also, we obtain some alternative sums for these polynomials and investigate relations among other polynomials.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/245
2010-01-01T00:00:00Z