Graphical Markov models for infinitely many variables
نویسندگان
چکیده
منابع مشابه
Moment Problem in Infinitely Many Variables
The multivariate moment problem is investigated in the general context of the polynomial algebra R[xi | i ∈ Ω] in an arbitrary number of variables xi, i ∈ Ω. The results obtained are sharpest when the index set Ω is countable. Extensions of Haviland’s theorem [17] and Nussbaum’s theorem [34] are proved. Lasserre’s description of the support of the measure in terms of the non-negativity of the l...
متن کاملGraphical Markov Models
Graphical Markov models are multivariate statistical models which are currently under vigorous development and which combine two simple but most powerful notions, generating processes in single and joint response variables and conditional independences captured by graphs. The development of graphical Markov started with work by Wermuth (1976, 1980) and Darroch, Lauritzen and Speed (1980) which ...
متن کاملGraphical Markov Models: Overview
We describe how graphical Markov models emerged in the last 40 years, based on three essential concepts that had been developed independently more than a century ago. Sequences of joint or single regressions and their regression graphs are singled out as being the subclass that is best suited for analyzing longitudinal data and for tracing developmental pathways, both in observational and in in...
متن کاملDifferential Equations and Implicit Functions in Infinitely Many Variables.
will be discussed. The results of all three sections of the paper include as special cases the corresponding theorems on functions of a finite number of variables. The notion of a function / of infinitely many variables ( xy, x2, • • • ) was brought into mathematics in the wake of the infinite determinant, the consideration of infinite systems of linear equations and the researches of Hilbert, ...
متن کاملGl-equivariant Modules over Polynomial Rings in Infinitely Many Variables
Consider the polynomial ring in countably infinitely many variables over a field of characteristic zero, together with its natural action of the infinite general linear group G. We study the algebraic and homological properties of finitely generated modules over this ring that are equipped with a compatible G-action. We define and prove finiteness properties for analogues of Hilbert series, sys...
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: Transactions of the American Mathematical Society
سال: 2018
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7048