Results 1  10
of
1,867
Models and inference Tangent exponential model Canonical parameter Vector parameter Conclusion 1 / 37 Approximate inference for vector parameters
, 2010
"... Parametric models and likelihood ◮ model f (y; θ), θ ∈ Rd ◮ data y = (y1,..., yn) independent observations ◮ loglikelihood function ℓ(θ; y) = log f (y; θ) ◮ parameter of interest θ = (ψ, λ), ψ ∈ Rd0 ◮ likelihood inference w(ψ) = 2{ℓ ( ˆψ, ˆλ) − ℓ(ψ, ˆλψ)} ◮ standardized m.l.e. q(ψ) = ( ˆψ − ψ) ..."
Abstract
 Add to MetaCart
Parametric models and likelihood ◮ model f (y; θ), θ ∈ Rd ◮ data y = (y1,..., yn) independent observations ◮ loglikelihood function ℓ(θ; y) = log f (y; θ) ◮ parameter of interest θ = (ψ, λ), ψ ∈ Rd0 ◮ likelihood inference w(ψ) = 2{ℓ ( ˆψ, ˆλ) − ℓ(ψ, ˆλψ)} ◮ standardized m.l.e. q(ψ) = ( ˆψ − ψ
Canonical Comprehensive Gröbner Bases
 Journal of Symbolic Computation
, 2002
"... Comprehensive Gröbner bases for parametric polynomial ideals were introduced, constructed, and studied by the author in 1992. Since then the construction has been implemented in the computer algebra systems aldes/sac2, mas, reduce and maple. A comprehensive Gröbner basis is a finite subset G of a p ..."
Abstract

Cited by 188 (4 self)
 Add to MetaCart
parametric polynomial ideal I such that σ(G) constitutes a Gröbner basis of the ideal generated by σ(I) under all specializations σ of the parameters in arbitrary fields. Thos concept has found numerous...
A canonical integration technique
 IEEE Trans. Nucl. Sci
, 1983
"... There are many different ways to integrate differential equations numerically. ' These various methods are usually characterized by the accuracy of a single step in time. Thus if in a small time step, h, the integration is performed so that it is accurate ',?r?~hor?e??n!~&ation method ..."
Abstract

Cited by 88 (0 self)
 Add to MetaCart
;,?r?~hor?e??n!~&ation method. then the method is referred to as The class of differential equations of interest Now the question is: if the parameter t is small can this map be found approximately to some given orde; in t? If this can be done explicitly, then the process can easily be iterated and the error controlled
Canonical exponential family parameters
, 2008
"... Inference about a parameter θ based on the likelihood function is often based on first order approximations to standard summary statistics from the likelihood, such as the likelihood ratio statistic or the standardized maximum likelihood estimate. For more accurate inference refinements are needed t ..."
Abstract
 Add to MetaCart
Inference about a parameter θ based on the likelihood function is often based on first order approximations to standard summary statistics from the likelihood, such as the likelihood ratio statistic or the standardized maximum likelihood estimate. For more accurate inference refinements are needed
multcomp: Simultaneous Inference in General Parametric Models,
, 2008
"... Abstract Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the prespecified significance level. Simultaneous inference procedures have to be ..."
Abstract

Cited by 234 (6 self)
 Add to MetaCart
to be used which adjust for multiplicity and thus control the overall type I error rate. In this paper we describe simultaneous inference procedures in general parametric models, where the experimental questions are specified through a linear combination of elemental model parameters. The framework described
Visibly pushdown languages
, 2004
"... Abstract. We study congruences on words in order to characterize the class of visibly pushdown languages (Vpl), a subclass of contextfree languages. For any language L, we define a natural congruence on words that resembles the syntactic congruence for regular languages, such that this congruence i ..."
Abstract

Cited by 189 (19 self)
 Add to MetaCart
is of finite index if, and only if, L is a Vpl. We then study the problem of finding canonical minimal deterministic automata for Vpls. Though Vpls in general do not have unique minimal automata, we consider a subclass of VPAs called kmodule singleentry VPAs that correspond to programs with recursive
Canonical Ridge Analysis with Ridge Parameter Optimization
, 1998
"... Introduction A number of linear multivariate statistical models have been applied for the analysis of functional images. We will here discuss a general model that encompasses several such approaches: Canonical Correlation Analysis (CCA), Partial Least Square (PLS), Orthonormalized Partial Least Squ ..."
Abstract

Cited by 7 (3 self)
 Add to MetaCart
Introduction A number of linear multivariate statistical models have been applied for the analysis of functional images. We will here discuss a general model that encompasses several such approaches: Canonical Correlation Analysis (CCA), Partial Least Square (PLS), Orthonormalized Partial Least
The Canon Score Language
, 1989
"... Canon is both a notation for musical scores and a programming language. Canon offers a combination of declarative style and a powerful abstraction capability which allows a very highlevel notation for sequences of musical events and structures. Transformations are operators that can adjust common p ..."
Abstract

Cited by 23 (3 self)
 Add to MetaCart
parameters such as loudness or duration. Transformations can be nested and timevarying, and their use avoids the problem of having large numbers of explicit parameters. Behavioral abstraction, the concept of making behavior an arbitrary function of the environment, is supported by Canon and extends
Results 1  10
of
1,867