Enis Sınıksaran - Academia.edu (original) (raw)

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Papers by Enis Sınıksaran

Iktisat Fakultesi Mecmuası, 2004

Istanbul Universitesi Siyasal Bilgiler Fakultesi Dergisi, 2012

The purpose of this paper is to present an algorithm to calculate the least median squares LMS li... more The purpose of this paper is to present an algorithm to calculate the least median squares LMS line. In the algorithm, random strips which would catch at least fifty percent of observations are thrown on the convex hull of the data in the variable space. The LMS line lies exactly at the middle of the narrowest strip.

The Mathematica Journal, 2009

It has long been known that Buffon's needle experiments can be used to estimate p. Three main fac... more It has long been known that Buffon's needle experiments can be used to estimate p. Three main factors influence these experiments: grid shape, grid density, and needle length. In statistical literature, several experiments depending on these factors have been designed to increase the efficiency of the estimators of p and to use all the information as fully as possible. We wrote the package BuffonNeedle to carry out the most common forms of Buffon's needle experiments. In this article we review statistical aspects of the experiments, introduce the package BuffonNeedle, discuss the crossing probabilities and asymptotic variances of the estimators, and describe how to calculate them using Mathematica.

Statistics, 2005

In this article, we examine F , Wald, LR, and LM test statistics in the linear regression model u... more In this article, we examine F , Wald, LR, and LM test statistics in the linear regression model using vector geometry. These four statistics are expressed as a function of one random variable-the angle between the vectors of unrestricted and restricted residuals. The exact and nominal sampling distributions of this angle are derived to illuminate some facts about the four statistics. Alternatively, we offer that the angle itself can be used as a test statistic. A Mathematica program is also written to carry out the approach.

Gazi University Journal of Science, 2011

Multiple regression outliers should be identified because of their potential effect on parameter ... more Multiple regression outliers should be identified because of their potential effect on parameter estimates and inferences from the regression model. In recent years, researchers have proposed numerous strategies and procedures to identify the outliers. A Mathematica package PURO is introduced which implements seven methods from the latest and most respected outlier detection procedures in the statistics literature.

Computational Statistics Data Analysis, Mar 15, 2008

Mallows’ Cp plot is a useful tool for variable selection in linear regression. Though not as popu... more Mallows’ Cp plot is a useful tool for variable selection in linear regression. Though not as popular as the Cp plot, Spjotvoll’s Fp and Pp plots are also used in the variable selection procedure. The Cp, Fp and Pp plots are useful in their own right. If the interest is the direct measure of the amount of bias of the submodels and a distributional assumption is not made about the error term, a Cp or Fp plot is used. If a formal testing procedure is to be performed, then a Pp plot is employed. A geometrical approach is used in order to propose an alternative plot that unifies all the information in these three plots, and that has some advantages over them. A Mathematica package has been written to implement the approach.

Iktisat Fakultesi Mecmuası, 2004

Istanbul Universitesi Siyasal Bilgiler Fakultesi Dergisi, 2012

The purpose of this paper is to present an algorithm to calculate the least median squares LMS li... more The purpose of this paper is to present an algorithm to calculate the least median squares LMS line. In the algorithm, random strips which would catch at least fifty percent of observations are thrown on the convex hull of the data in the variable space. The LMS line lies exactly at the middle of the narrowest strip.

The Mathematica Journal, 2009

It has long been known that Buffon's needle experiments can be used to estimate p. Three main fac... more It has long been known that Buffon's needle experiments can be used to estimate p. Three main factors influence these experiments: grid shape, grid density, and needle length. In statistical literature, several experiments depending on these factors have been designed to increase the efficiency of the estimators of p and to use all the information as fully as possible. We wrote the package BuffonNeedle to carry out the most common forms of Buffon's needle experiments. In this article we review statistical aspects of the experiments, introduce the package BuffonNeedle, discuss the crossing probabilities and asymptotic variances of the estimators, and describe how to calculate them using Mathematica.

Statistics, 2005

In this article, we examine F , Wald, LR, and LM test statistics in the linear regression model u... more In this article, we examine F , Wald, LR, and LM test statistics in the linear regression model using vector geometry. These four statistics are expressed as a function of one random variable-the angle between the vectors of unrestricted and restricted residuals. The exact and nominal sampling distributions of this angle are derived to illuminate some facts about the four statistics. Alternatively, we offer that the angle itself can be used as a test statistic. A Mathematica program is also written to carry out the approach.

Gazi University Journal of Science, 2011

Multiple regression outliers should be identified because of their potential effect on parameter ... more Multiple regression outliers should be identified because of their potential effect on parameter estimates and inferences from the regression model. In recent years, researchers have proposed numerous strategies and procedures to identify the outliers. A Mathematica package PURO is introduced which implements seven methods from the latest and most respected outlier detection procedures in the statistics literature.

Computational Statistics Data Analysis, Mar 15, 2008

Mallows’ Cp plot is a useful tool for variable selection in linear regression. Though not as popu... more Mallows’ Cp plot is a useful tool for variable selection in linear regression. Though not as popular as the Cp plot, Spjotvoll’s Fp and Pp plots are also used in the variable selection procedure. The Cp, Fp and Pp plots are useful in their own right. If the interest is the direct measure of the amount of bias of the submodels and a distributional assumption is not made about the error term, a Cp or Fp plot is used. If a formal testing procedure is to be performed, then a Pp plot is employed. A geometrical approach is used in order to propose an alternative plot that unifies all the information in these three plots, and that has some advantages over them. A Mathematica package has been written to implement the approach.