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Article
Open AccessA Flexible and Sustainable Analysis of Waste Efficiency at the European Level
This paper analyses the waste management efficiency of European Union countries using a flexible nonparametric methodology known as directional data envelopment analysis (DEA). The study evaluates performance ...
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Article
Open AccessStatistical inference for Hicks–Moorsteen productivity indices
The statistical framework for the Malmquist productivity index (MPI) is now well-developed and emphasizes the importance of developing such a framework for its alternatives. In this paper, we try to fill this ...
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Article
Open AccessApproximations and inference for envelopment estimators of production frontiers
Nonparametric methods have been commonly used to assess the performance of both private and public organizations. Among them, the most popular ones are envelopment estimators such as Free Disposal Hull (FDH) o...
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Article
Open AccessViable eco-efficiency targets for waste collection communities
Waste management is crucial for advancing the circular economy, and Italy has begun to address this issue by organizing municipalities into collaborative communities of municipalities, named ATOs. In this paper, ...
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Chapter
Stochastic Neighborhood Embedding
LLE is widely appreciated as an effective dimension-reduction tool. It fares less well, however, in situations of very high-dimensional data sets. Moreover, an essential assumption of LLE is the presence of a ...
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Chapter
Locally Linear Embedding
Traditional visualization techniques can hardly be used to analyze very high-dimensional data. Consider, for example, applying the Chernoff-Flury faces of Chap. 1.5 to i...
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Chapter
Applications in Finance
A portfolio is a linear combination of assets. Each asset contributes with a weight c ...
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Chapter
Uniform Manifold Approximation and Projection
Uniform manifold approximation and projection (UMAP) is among the most highly appraised and most powerful procedures for data visualization and dimension reduction. Despite having been proposed fairly recently...
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Chapter
Discriminant Analysis
Discriminant analysis is used in situations where the clusters are known a priori. The aim of discriminant analysis is to classify an observation, or several observations, into these known groups. For instance...
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Chapter
Canonical Correlation Analysis
Complex multivariate data structures are better understood by studying low-dimensional projections. For a joint study of two data sets, we may ask what type of low-dimensional projection helps in finding possi...
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Chapter
Computationally Intensive Techniques
It is generally accepted that training in statistics must include some exposure to the mechanics of computational statistics. This exposure to computational methods is of an essential nature when we consider e...
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Chapter
Conjoint Measurement Analysis
Conjoint measurement analysis plays an important role in marketing. In the design of new products, it is valuable to know which components carry what kind of utility for the customer. Marketing and advertiseme...
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Chapter
A Short Excursion into Matrix Algebra
This chapter serves as a reminder of basic concepts of matrix algebra, which are particularly useful in multivariate analysis. It also introduces the notations used in this book for vectors and matrices. Eigen...
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Chapter
Multivariate Distributions
The preceding chapter showed that by using the two first moments of a multivariate distribution (the mean and the covariance matrix), a lot of information on the relationship between the variables can be made ...
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Chapter
Theory of Estimation
We know from our basic knowledge of statistics that one of the objectives in statistics is to better understand and model the underlying process which generates data. This is known as statistical inference: we...
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Chapter and Conference Paper
Inference in Dynamic, Nonparametric Models of Production for General Technologies
Nonparametric envelopment estimators are often used to estimate the attainable set and its efficient boundary, and to assess efficiency and changes in productivity. Kneip et al. [11] provide asymptotic results th...
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Chapter
Regression Models
The main aim of regression models is to model the variation of a quantitative response variable y in terms of the variation of one or several explanatory variables ...
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Chapter
Principal Component Analysis
Chapter 10 presented the basic geometric tools needed to produce a lower-dimensional description of the rows and columns of a multivariate data matrix. Principal compone...
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Chapter
Cluster Analysis
The next two chapters address classification issues from two varying perspectives. When considering groups of objects in a multivariate data set, two situations can arise. Given a data set containing measureme...
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Chapter
Correspondence Analysis
Correspondence analysis provides tools for analyzing the associations between rows and columns of contingency tables. A contingency table is a two-entry frequency table where the joint frequencies of two quali...
