The Tempered Discrete Linnik distribution

We introduce a new family of integer-valued distributions by considering a tempered version of the Discrete Linnik law. The proposal is actually a generalization of the well-known Poisson–Tweedie law. The suggested family is extremely flexible since it contains a wide spectrum of distributions ranging from light-tailed laws (such as the Binomial) to heavy-tailed laws (such as the Discrete Linnik). The main theoretical features of the Tempered Discrete Linnik distribution are explored by providing a series of identities in law, which describe its genesis in terms of mixture Poisson distribution and compound Negative Binomial distribution—as well as in terms of mixture Poisson–Tweedie distribution. Moreover, we give a manageable expression and a suitable recursive relationship for the corresponding probability function. Finally, an application to scientometric data—which deals with the scientific output of the researchers of the University of Siena—is considered.     

Goodness-of-Fit Testing for the Newcomb-Benford Law With Application to the Detection of Customs Fraud

The Newcomb-Benford law for digit sequences has recently attracted interest in antifraud analysis. However, most of its applications rely either on diagnostic checks of the data, or on informal decision rules. We suggest a new way of testing the Newcomb-Benford law that turns out to be particularly attractive for the detection of frauds in customs data collected from international trade. Our approach has two major advantages. The first one is that we control the rate of false rejections at each stage of the procedure, as required in antifraud applications. The second improvement is that our testing procedure leads to exact significance levels and does not rely on large-sample approximations. Another contribution of our work is the derivation of a simple expression for the digit distribution when the Newcomb-Benford law is violated, and a bound for a chi-squared type of distance between the actual digit distribution and the Newcomb-Benford one.     

Interval Estimation for the Sortino Ratio and the Omega Ratio

In this article, asymptotic confidence intervals (CIs) for the Sortino and Omega ratios are proposed and analyzed. First, the CIs are derived under the assumption of temporal independence and identical distribution of returns. Later they are obtained assuming that the returns process is strictly stationary and α-mixing of a certain size. In order to evaluate the minimum sample size for a good coverage accuracy of the asymptotic CIs, a simulation study is performed. It is obtained that the minimum sample sizes are very high, especially under the more realistic assumption of not-iid returns.     

Do Quality of Services and Institutional Image Impact Students’ Satisfaction and Loyalty in Higher Education?

Social Indicators Research - The objective of this study is to investigate whether the quality of educational services and the university’s institutional image influence students’...     

Social time preference

The observed practice of discounting the future should not be rationalised on the grounds of myopia or selfishness. A positive rate of pure time preference is necessary to ensure that heterogeneous generations are treated in an egalitarian fashion. A zero social discount rate would yield intertemporal allocations which are biased against the current generations. Endogenous productivity growth requires that the social discount rate be set above the subjective rate of pure time preference. Positive social time preference, far from discriminating against future generations, is essential for a fairer intertemporal allocation of resources. Received: 3 July 1999/Accepted: 6 October 1999     

On the joint evaluation of absolute and relative deprivation

We lay out alternative ways of melding measures of absolute and relative deprivation in an index of overall deprivation, exploring the choices the analyst faces in this enterprise. The indices derived are used to answer two important empirical questions. First, did overall deprivation fall in the BRICS–Brazil, Russia, India, China and South Africa– between the early 1990s and late 2000s, alongside the fall in absolute deprivation? Second, what is the relationship between reductions in overall deprivation and economic growth? We show that the standard portrayal of the BRICS as economic success stories as well as the emphasis placed on economic growth in the reduction of deprivation must be qualified to some extent.     

Constructing Well-Being and Poverty Dimensions on Political Grounds

The paper addresses the problem of justifying ethically sound dimensions of poverty or well-being for use in a multidimensional framework. We combine Sen’s capability approach and Rawls’ method of political constructivism and argue that the constitution and its interpretative practice can serve as an ethically suitable informational basis for selecting dimensions, under certain conditions. We illustrate our Constitutional Approach by deriving a set of well-being dimensions from an analysis of the Italian Constitution. We argue that this method is both an improvement on those used in the existing literature from the ethical point of view, and has a strong potential for providing the ethical basis of a conception of well-being for the public affairs of a pluralist society. In the final part, we elaborate on the implications for measuring well-being based on data, by ranking Italian regions in terms of well-being, and pointing out the differences in results produced by different methods.     

Developing an Additive Risk Model for Predicting Academic Index: School Factors and Academic Achievement

The impact of school factors on academic achievement has become an important focus for identifying, preventing, and intervening with youth at-risk for academic failure. This study was designed to develop and test a more comprehensive school factor risk index. Specifically, the relationship between cumulative grade point average (GPA) and an additive risk index (ARI) were tested and an analysis of the index is presented. School factors that been shown in previous research to impact academic achievement were tested. Those factors were included in the final risk index if they met the criteria of (1) having a correlation with GPA, (2) containing a difference in outcomes between the risk and non-risk groups, and (3) making a unique contribution to the overall index. The risk and protective factors included in the creation of the ARI were attendance, academic self-efficacy, academic expectations, grade retention, music instruction, and school behaviors. The interplay between risk and protective factors was shown to have a significant relationship with GPA.