Functional linear models for interval-valued data
نویسندگان
چکیده
منابع مشابه
Testing linear independence in linear models with interval-valued data
Testing methods are introduced in order to determine whether there is some ‘linear’ relationship between imprecise predictor and response variables in a regression analysis. The variables are assumed to be interval-valued. Within this context, the variables are formalized as compact convex random sets, and an interval arithmetic-based linear model is considered. Then, a suitable equivalence for...
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This paper introduces an approach to fitting a constrained linear regression model to interval-valued data. Each example of the learning set is described by a feature vector for which each feature value is an interval. The new approach fits a constrained linear regression model on the midpoints and range of the interval values assumed by the variables in the learning set. The prediction of the ...
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This paper introduces a new type of statistical model: the interval-valued linear model, which describes the linear relationship between an interval-valued output random variable and real-valued input variables. Firstly, we discuss the notions of variance and covariance of set-valued and interval-valued random variables. Then, we give the definition of the intervalvalued linear model and its le...
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In regression analysis the relationship between one response and a set of explanatory variables is investigated. The (response and explanatory) variables are usually single-valued. However, in several real-life situations, the available information may be formalized in terms of intervals. An interval-valued datum can be described by the midpoint (its center) and the radius (its half width). Her...
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ژورنال
عنوان ژورنال: Communications in Statistics - Simulation and Computation
سال: 2020
ISSN: 0361-0918,1532-4141
DOI: 10.1080/03610918.2020.1714662