Results 41 to 50 of about 297 (132)

Geometrical Theory of Asymptotic Ancillarity and Conditional Inference

open access: yesBiometrika, 1982
Differential geometry is applied to the problems of defining higher-order asymptotic ancillarity and of obtaining the asymptotic conditional distribution of an efficient estimator in multiparameter curved exponential families. It is shown that a fundamental role is played in the asymptotic theory of estimation by a one-parameter family of affine ...
openaire   +3 more sources

Conditional properties of Bayesian interval estimates

open access: yes
Bayes intervals, nuisance parameters, orthogonal parameters, local ancillarity,
Anna Nicolaou
core   +1 more source

The reduction and ancillary classification of observations

open access: yes, 1994
Generalized definitions of the invariance, (partial) sufficiency and ancillarity principles are given in a measure-theoretic context. Data reduction in statistical inference is described in terms of these principles.
Berkum, EEM Emiel van   +2 more
core  

The case for formal methodology in scientific reform. [PDF]

open access: yesR Soc Open Sci, 2021
Devezer B   +3 more
europepmc   +1 more source

An Ancillarity Paradox Which Appears in Multiple Linear Regression

open access: yesThe Annals of Statistics, 1990
Consider a multiple regression in which \(Y_ i\), \(i=1,...,n\), are independent normal variables with variance \(\sigma^ 2\) and E \(Y_ i=\alpha +V'_ i\beta\) where \(V_ i\in {\mathbb{R}}^ r\) and \(\beta \in {\mathbb{R}}^ r\). Let \({\hat \alpha}\) be the usual least squares estimator of \(\alpha\).
openaire   +3 more sources

Godambe's paradox and the ancillarity principle

open access: yes
Godambe's Ancillarity Principle holds only for inferences of Type A in which a unique inference is possible (on some rational ground like 'support' or maximum frequency performance) from a given outcome of a statistical experiment to a particular ...
Bhave, S. V.
core  

Common features and common I(2) trends in VAR systems [PDF]

open access: yes
This paper discusses serial correlation common features, CF, and integration of order 2, I(2), in VAR systems. The interplay of the CF restrictions and the I(2) conditions is discussed both for full VAR systems and for conditional systems with no levels ...
Paruolo Paolo
core  

The Structure of a Linear Model: Sufficiency, Ancillarity, Invariance, Equivariance, and the Normal Distribution

open access: yes
Consider a general linear model Y=X[beta]+Z where Cov Z may be known only partially. We investigate carefully the notions of sufficiency, ancillarity, invariance, and equivariance and related notions for projectors in a general linear model. In this way
Bischoff, Wolfgang
core  

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