Add to ORKGIn this paper, Hampel's concept of qualitative robustness (1968, 1971) is adapted to the problem of estimation by confidence regions. The basic idea is to consider the confidence regions as generalized estimates taking values in the space of compact sets endowed with the Hausdorff metric. In section 3, the qualitative robustness is analyzed in five particular cases, which include confidence regions and tolerance intervals of common use. Section 4 is devoted to discussion and comment
Recently, a new inferential models approach has been proposed for statistics. Specifically, this app...
International audienceFor a given statistical method, good properties are usually obtained under str...
A confidence distribution is a distribution for a parameter of interest based on a parametric statis...
It is known that the robustness properties of estimators depend on the choice of a metric in the spa...
Qualitative robustness, influence function, and breakdown point are three main concepts to judge an ...
Consistency, qualitative robustness, influence function and breakdown point are the four main concep...
We develop a framework for quantifying the sensitivity of the distribution of pos-terior distributio...
A preeminent expert in the field explores new and exciting methodologies in the ever-growing field o...
Tech ReportDue to vagueness in the definition of robustness, there has been no natural transition be...
We show that confidence regions covering the identified set may be preferable to confidence regions ...
We modify the procedure for constructing exact bounds confidence regions introduced by Dufour (1990,...
A new strategy and four new methods are presented to calculate the limits of the confident interval ...
The definition of robustness in econometrics, the error term in a linear equation, was not only broa...
[[abstract]]This paper is concerned with the confidence regions based on likelihood ratio in a nonli...
1. Introduction The Robustness, of a statistical procedure, is commonly defined as the stability wit...
Recently, a new inferential models approach has been proposed for statistics. Specifically, this app...
International audienceFor a given statistical method, good properties are usually obtained under str...
A confidence distribution is a distribution for a parameter of interest based on a parametric statis...
It is known that the robustness properties of estimators depend on the choice of a metric in the spa...
Qualitative robustness, influence function, and breakdown point are three main concepts to judge an ...
Consistency, qualitative robustness, influence function and breakdown point are the four main concep...
We develop a framework for quantifying the sensitivity of the distribution of pos-terior distributio...
A preeminent expert in the field explores new and exciting methodologies in the ever-growing field o...
Tech ReportDue to vagueness in the definition of robustness, there has been no natural transition be...
We show that confidence regions covering the identified set may be preferable to confidence regions ...
We modify the procedure for constructing exact bounds confidence regions introduced by Dufour (1990,...
A new strategy and four new methods are presented to calculate the limits of the confident interval ...
The definition of robustness in econometrics, the error term in a linear equation, was not only broa...
[[abstract]]This paper is concerned with the confidence regions based on likelihood ratio in a nonli...
1. Introduction The Robustness, of a statistical procedure, is commonly defined as the stability wit...
Recently, a new inferential models approach has been proposed for statistics. Specifically, this app...
International audienceFor a given statistical method, good properties are usually obtained under str...
A confidence distribution is a distribution for a parameter of interest based on a parametric statis...