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## Publications

Publications (50)

Under general conditions, the asymptotic distribution of degenerate second-order U- and V-statistics is an (infinite) weighted sum of χ2 random variables whose weights are the eigenvalues of an integral operator associated with the kernel of the statistic. Also the behavior of the statistic in terms of power can be characterized through the eigenva...

This chapter is a review of a selection of simulation models, with special reference to the social sciences. Three critical aspects are identified—i.e. randomness, emergence and causation—that may help understand the evolution and the main characteristics of these simulation models. Several examples illustrate the concepts through a historical pers...

We consider the estimation of the entropy of a discretely-supported time series through a plug-in estimator. We provide a correction of the bias and we study the asymptotic properties of the estimator. We show that the widely-used correction proposed by [102] is incorrect as it does not remove the O(N-1) part of the bias while ours does. We provide...

Drawing on the concept of a gale of creative destruction in a capitalistic economy, we argue that initiatives to assess the robustness of findings in the organizational literature should aim to simultaneously test competing ideas operating in the same theoretical space. In other words, replication efforts should seek not just to support or question...

Purpose - This viewpoint article is concerned with an attempt to advance Organisational Plasticity (OP) modelling concepts by using a novel community modelling framework (PhiloLab) from the Social Simulation community to drive the process of idea generation. In addition, we want to feed back our experience with PhiloLab, as we believe that this way...

We derive asymptotic expansions of the Kummer functions $M(a,b,z)$ and $U(a,b+1,z)$ for large positive values of $a$ and $b$, with $z$ fixed. For both functions we consider $b/a\le 1$ and $b/a\ge 1$, with special attention for the case $a\sim b$. We use a uniform method to handle all cases of these parameters.

The issues of calibrating and validating a theoretical model are considered, when it is required to select the parameters that better approximate the data among a finite number of alternatives. Based on a user-defined loss function, Model Confidence Sets are proposed as a tool to restrict the number of plausible alternatives, and measure the uncert...

The goal of this paper is to provide some statistical tools for nonparametric estimation and inference in psychological and economic experiments. We consider a framework in which a quantity of interest depends on some primitives through an unknown function $f$. An estimator of this unknown function can be obtained from a controlled experiment in wh...

In stochastic programming, statistics, or econometrics, the aim is in general the optimization of a criterion function that depends on a decision variable theta and reads as an expectation with respect to a probability P . When this function cannot be computed in closed form, it is customary to approximate it through an empirical mean function base...

This chapter is an attempt to answer the question “how many runs of a computational simulation should one do,” and it gives an answer by means of statistical analysis. After defining the nature of the problem and which types of simulation are mostly affected by it, the article introduces statistical power analysis as a way to determine the appropri...

This article is concerned with the study of statistical power in agent-based modeling (ABM). After an overview of classic statistics theory on how to interpret Type-II error (whose occurrence is also referred to as a false negative) and power, the manuscript presents a study on ABM simulation articles published in management journals and other outl...

Estimates of the Stevens’ power law model are often based on the averaging over individuals of experiments conducted at the individual level. In this paper we suppose that each individual generates responses to stimuli on the basis of a model proposed by Luce and Narens, sometimes called separable representation model, featuring two distinct pertur...

The aim of this paper is to derive the asymptotic statistical properties of a class of discrepancies on the unit hypercube called b-adic diaphonies. They have been introduced to evaluate the equidistribution of quasi-Monte Carlo sequences on the unit hypercube. We consider their properties when applied to a sample of independent and uniformly distr...

The aim of this article is to present an approach to the analysis of simple systems composed of a large number of units in interaction. Suppose to have a large number of agents belonging to a finite number of different groups: as the agents randomly interact with each other, they move from a group to another as a result of the interaction. The obje...

We provide a nonasymptotic bound on the distance between a noncentral chi square distribution and a normal approximation. It improves on both the classical Berry-Esséen bound and previous distances derived specifically for this situation. First, the bound is nonasymptotic and provides an upper limit for the real distance. Second, the bound has the...

In this paper, we compare the error in several approximation methods for the cumulative aggregate claim distribution customarily used in the collective model of insurance theory. In this model, it is usually supposed that a portfolio is at risk for a time period of length
t
. The occurrences of the claims are governed by a Poisson process of intens...

In this paper, we provide an asymptotic formula for the higher derivatives of the Hurwitz zeta function with respect to its first argument that does not need recurrences. As a by-product, we correct some formulas that have appeared in the literature.

This article proposes a framework for the analysis of experienced discrimination in home mortgages. It addresses the problem of home mortgage lending discrimination in one of the richest areas of northern Italy. Employees of a local hospital were interviewed to study their perception (or experience) of discriminatory behavior related to home financ...

We study the effects of the tax burden on tax evasion both theoretically and experimentally. We develop a theoretical framework of tax evasion decisions that is based on two behavioral assumptions: (1) taxpayers are endowed with reference dependent preferences that are subject to hedonic adaptation and (2) in making their choices, taxpayers are aff...

We examine the concept of essential intersection of a random set in the framework of robust optimization programs and ergodic theory. Using a recent extension of Birkhoff’s Ergodic Theorem developed by the present authors, it is shown that essential intersection can be represented as the countable intersection of random sets involving an asymptotic...

In this paper, we derive the asymptotic statistical properties of a class of generalized discrepancies introduced by Cui and Freeden (SIAM J. Sci. Comput., 1997) to test equidistribution on the sphere. We show that they have highly desirable properties and encompass several statistics already proposed in the literature. In particular, it turns out...

We consider scenario approximation of problems given by the optimization of a function over a constraint that is too difficult to be handled but can be efficiently approximated by a finite collection of constraints corresponding to alternative scenarios. The covered programs include min-max games, and semi-infinite, robust and chance-constrained pr...

We study various methods of aggregating individual judgments and individual priorities in group decision making with the AHP. The focus is on the empirical properties of the various methods, mainly on the extent to which the various aggregation methods represent an accurate approximation of the priority vector of interest. We identify five main cla...

Quantifying uniformity of a configuration of points on the sphere is an interesting topic that is receiving growing attention in numerical analysis. An elegant solution has been provided by Cui and Freeden [J. Cui, W. Freeden, Equidistribution on the sphere, SIAM J. Sci. Comput. 18 (2) (1997) 595–609], where a class of discrepancies, called general...

We study the error in quadrature rules on a compact manifold. As in the Koksma-Hlawka inequality, we consider a discrepancy of the sampling points and a generalized variation of the function. In particular, we give sharp quantitative estimates for quadrature rules of functions in Sobolev classes.

Many statistics used to test that a sample of n points in the unit interval [0, 1] comes from a known distribution can be studied using the theory of degenerate U - and V-statistics. In this theory, a special role is played by the eigenvalues of an integral operator. The aim of the present paper is to compare several versions of the Wielandt-Nyströ...

First-order differentials of a (simple) eigenvalue and the associated eigenvector in an undamped discrete system are investigated. We provide closed-form expressions under three alternative normalizations, namely the customary mass normalization, unit-length normalization and the normalization obtained setting an element equal to 1. The proposed fo...

The Analytic Hierarchy Process (AHP) ratio-scaling approach is re-examined in view of the recent developments in mathematical psychology based on the so-called separable representations. The study highlights the distortions in the estimates based on the maximum eigenvalue method used in the AHP distinguishing the contributions due to random noises...

We give conditions for consistency and asymptotic normality of a FGLS estimator under conditions similar to the ones in [White, 1980a]. This is motivated by the estimator suggested in [Wansbeek, 2004]. In particular, we show that this estimator is not always consistent (even when the OLS estimator is) and is generally inefficient.

Most treatments of the model selection problem are either re- stricted to special situations (lag selection in AR, MA or ARMA models, re- gression selection, selection of a model out of a nested sequence) or to special selection methods (selection through testing or penalization). Our aim is to provide some basic tools for the analysis of model sel...

We first establish a general version of the Birkhoff Ergodic Theorem for quasi-integrable extended real-valued random variables without assuming ergodicity. The key argument involves the Poincaré Recurrence Theorem. Our extension of the Birkhoff Ergodic Theorem is also shown to hold for asymptotic mean stationary sequences. This is formulated in te...

This paper provides a brief introduction to the R package bio.infer, a set of scripts that facilitates the use of maximum likelihood (ML) methods for predicting environmental conditions from assemblage composition. Environmental conditions can often be inferred from only biological data, and these inferences are useful when other sources of data ar...

The Analytic Hierarchy Process (Saaty 1977, 1980) is a decision-making procedure for establishing priorities in multi-criteria decision making. Underlying the AHP is the theory of ratio-scale measures developed by psychophysicist Stanley S. Stevens (1946, 1951) in the middle of the last century. It is however well-known that Stevens' original model...

Studying how individuals compare two given quantitative stimuli, say d1 and d2, is a fundamental problem. One very common way to address it is through ratio estimation, that is to ask individuals not to give values to d1 and d2, but rather to give their estimates of the ratio p=d1/d2. Several psychophysical theories (the best known being Stevens’ p...

When testing that a sample of n points in the unit hypercube [0, 1] d comes from a uniform distribution, the Kolmogorov-Smirnov and the Cramér-von Mises statistics are sim-ple and well-known procedures. To encompass these measures of uniformity, Hickernell (1996, 1998) introduced the so-called generalized L p −discrepancies. These discrepancies can...

When testing that a sample of n points in the unit hypercube left[0,1right]^{d} comes from a uniform distribution, the Kolmogorov-Smirnov and the Cramer-von Mises statistics are simple and well-known procedures. To encompass these measures of uniformity, Hickernell introduced the so-called generalized mathcal{L}^{p} -discrepancies. These discrepanc...

Generalized discrepancies are a class of discrepancies introduced in the seminal paper [1] to measure uniformity of points over the unit sphere in ℝ3. However, convergence to 0 of this quantity has been shown only in the case of spherical t –designs. In the following, we completely characterize sequences for which convergence to 0 of D (N;A) holds....

In this paper we develop a dynamic discrete-time bivariate probit model, in which the conditions for Granger non-causality can be represented and tested. The conditions for simultaneous independence are also worked out. The model is extended in order to allow for covariates, representing individual as well as time heterogeneity. The proposed model...

In Numerical Analysis, several discrepancies have been introduced to test that a sample of n points in the unit hypercube [0, 1]d comes from a uniform distribution. An outstanding example is given by Hickernell’s generalized
LP\mathcal{L}^P
-discrepancies, that constitute a generalization of the Kolmogorov-Smirnov and the Cramér-von Mises statist...

In Stochastic Programming, the aim is often the optimization of a criterion function that can be written as an integral or
mean functional with respect to a probability measure
\mathbbP\mathbb{P}
. When this functional cannot be computed in closed form, it is customary to approximate it through an empirical mean functional
based on a random Monte...

We analyze the simultaneous diffusion of multiple process technologies that are related. A new econometric model is used to examine the presence of complementarities, testing for strong one-step-ahead non-causality and strong simultaneous independence. Results indicate significant complementarities between CAD and CNC technologies. Prior adoption o...

The objective of this paper is to develop a set of reliable methods to build confidence sets for the Aumann mean of a random closed set estimated through the Minkowski empirical mean. In order to do so, we introduce a procedure to build a confidence set based on Weil's result for the Hausdor distance between the empirical and the Aumann means; then...

In this paper, we prove a new version of the Birkhoff ergodic theorem (BET) for random variables depending on a parameter (alias integrands). This involves variational convergences, namely epigraphical, hypographical and uniform convergence and requires a suitable definition of the conditional expectation of integrands. We also have to establish th...

In this paper we develop a dynamic discrete-time bivariate probit model, in which the conditions for Granger non-causality can be represented and tested. The conditions for simultaneous independence are also worked out. The model is extended in order to allow for covariates, representing individual as well as time heterogeneity. The proposed model...

In some estimation problems, especially in applications dealing with information theory, signal processing and biology, theory provides us with additional information allowing us to restrict the parameter space to a finite number of points. In this case, we speak of discrete parameter models. Even though the problem is quite old and has interesting...

The aim of this paper is to provide a statistical foundation for a method of analysis suitable for economic and psychophysical experiments. The framework is similar to the one described in Hey (2005). Consider an economic quantity depending on some more primitive quantities through an unknown function f (such as the certain equivalent as a function...

When testing that a sample of points in the unit hypercube [0, 1] d comes from a uniform distribution, the Kolmogorov-Smirnov and the Cramér-von Mises statistics are simple and well-known procedures. To encompass these measures of uniformity, Hickernell (1996, 1998) intro-duced the so-called generalized L p −discrepancies. The aim of this paper is...

In this article 1 , we give sufficient conditions for stochastic boundedness in population models.

## Projects

Projects (3)

We investigate the asymptotic properties of extremum estimators for simulated models (e.g., method of simulated moments) when the stochastic equicontinuity condition is violated.

We propose to estimate the parameters of a simulated model via a nonparametric least absolute shrinkage and selection operator regression.

We exploit a nonparametric sieve regression, estimated through ordinary least squares, to estimate the parameters that best fit real-world/benchmark observations.