Elliptical Insights: Understanding Statistical Methods through Elliptical Geometry
نویسندگان
چکیده
منابع مشابه
Elliptical Insights: Understanding Statistical Methods through Elliptical Geometry
Visual insights into a wide variety of statistical methods, for both didactic and data analytic purposes, can often be achieved through geometric diagrams and geometrically based statistical graphs. This paper extols and illustrates the virtues of the ellipse and her higher-dimensional cousins for both these purposes in a variety of contexts, including linear models, multivariate linear models ...
متن کاملBayesian Statistical Inference on Elliptical Matrix Distributions
In this paper we are concerned with Bayesian statistical inference for a class of elliptical distributions with parameters + and 7. Under a noninformative prior distribution, we obtain the posterior distribution, posterior mean, and generalized maximim likelihood estimators of + and 7. Under the entropy loss and quadratic loss, the best Bayesian estimators of 7 are derived as well. Some applica...
متن کاملThe Elliptical–Spheroidal and Elliptical–Elliptical Galaxy Dichotomies
This paper summarizes Kormendy et al. (2009, ApJS, in press, arXiv:0810.1681). We confirm that spheroidal galaxies have fundamental plane correlations that are almost perpendicular to those for bulges and ellipticals. Spheroidals are not dwarf ellipticals. They are structurally similar to late-type galaxies. We suggest that they are defunct (“red and dead”) late-type galaxies transformed by a v...
متن کاملIdentity Based Encryption through Elliptical Curve Cryptography
Although the Boneh and Franklin identity-based encryption scheme is not overly complex theoretically, the implementation of the system proves to be somewhat difficult. 1 Identity Based Encryption: The difficulty with public key encryption involves distribution of the keys and the assumption that they will always be available (Ding 194). It is not always practical to be connected to a key certif...
متن کاملElliptical beams.
A very general beam solution of the paraxial wave equation in elliptic cylindrical coordinates is presented. We call such a field an elliptic beam (EB). The complex amplitude of the EB is described by either the generalized Ince functions or the Whittaker-Hill functions and is characterized by four parameters that are complex in the most general situation. The propagation through complex ABCD o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Statistical Science
سال: 2013
ISSN: 0883-4237
DOI: 10.1214/12-sts402