Geometric Constructions Relating Various Lines of Regression

نویسنده

  • Brian J. McCartin
چکیده

As a direct consequence of the Galton-Pearson-McCartin Theorem [10, Theorem 2], the concentration ellipse provides a unifying thread to the Euclidean construction of various lines of regression. These include lines of coordinate regression [7], orthogonal regression [13], λ-regression [8] and (λ, μ)-regression [9] whose geometric constructions are afforded a unified treatment in the present paper. Mathematics Subject Classification: 51M15, 51N20, 62J05

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Propagation of Geometric Tolerance Zones in 3D

This paper considers error propagation in three dimensional geometric constructions using a geometric approach. First, we present definitions and constructions of tolerance zones for various fundamental elements in Euclidean space. Then, we study in detail the propagation of errors during several geometric computations, including the the distance between two skew lines, reflections, projections...

متن کامل

Geometric constructions for 3-configurations with non-trivial geometric symmetry

A geometric 3-configuration is a collection of points and straight lines, typically in the Euclidean plane, in which every point has 3 lines passing through it and every line has 3 points lying on it; that is, it is an (n3) configuration for some number n of points and lines. We will say that such configuration is symmetric if there are nontrivial isometries of the plane that map the configurat...

متن کامل

Investigation of geometric parameters of seawalls on the amount of earth subsidence and its horizontal displacement by FLAC 3D software

Seawalls are built for Protecting of beaches against waves and preventing the progression of water to the beach. For a proper understanding about these constructions, a suiTable information about applied loads on these constructions should be existed. One of the important load that applied on these constructions is sea wave. Others loads are included: weight force of the walls, weight force of ...

متن کامل

The Double Powerlocale and Exponentiation: a Case Study in Geometric Logic

If X is a locale, then its double powerlocale PX is defined to be PU(PL(X)) where PU and PL are the upper and lower powerlocale constructions. We prove various results relating it to exponentiation of locales, including the following. First, if X is a locale for which the exponential S exists (where S is the Sierpinski locale), then PX is an exponential S X . Second, if in addition W is a local...

متن کامل

Deletion constructions of symmetric 4-configurations. Part I

By deletion constructions we mean several methods of generation of new geometric configurations by the judicious deletion of certain points and lines, and introduction of other lines or points. A number of such procedures have recently been developed in a systematic way. We present here one family of such constructions, and will describe other families in the following parts.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016