1,720,993 research outputs found

    The computation of the probability density and distribution functions for some families of random variables by means of the Wynn-ρ accelerated Post-Widder formula

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    We propose the suitable use of the Post-Widder inversion formula for Laplace transforms–coupled with the Wynn’s ρ-algorithm for accelerating sequences–in order to evaluate (up to the desired accuracy) the probability density function and the distribution function of a large collection of random variables. The method is illustrated on the Tweedie law and the tempered positive Linnik law. In addition, a further application to some laws arising in the context of Brownian motion is considered. © 2018, © 2018 Taylor & Francis Group, LLC

    On the Generalized Benford's law

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    We provide some properties of the Generalized Benford law – a flexible model for the distribution of significant digits – which accurately describes the pattern of leading digits in the sequences of prime numbers and of non-trivial Riemann zeta zeros. © 2020 Elsevier B.V

    Generalization of Huang's randomized response procedure for the estimation of population proportion and sensitivity level

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    A generalization of Huang's (2004) randomized response procedure is proposed by adapting Franklin's (1989) and Singh and Singh's (1993) designs at the second stage. Asimple and effective implementation of the method is also introduced. The suggested procedure gives rise to accurate population proportion estimators and in addition permits the estimation of the sensitivity level

    Interlocking editorship. A network analysis of the links between economic journals

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    The exploratory analysis developed in this paper relies on the hypothesis that each editor possesses some power in the definition of the editorial policy of her journal. Consequently if the same scholar sits on the board of editors of two journals, those journals could have some common elements in their editorial policies. The proximity of the editorial policies of two scientific journals can be assessed by the number of common editors sitting on their boards. A database of all editors of ECONLIT journals is used. The structure of the network generated by interlocking editorship is explored by applying the instruments of network analysis. Evidence has been found of a compact network containing different components. This is interpreted as the result of a plurality of perspectives about the appropriate methods for the investigation of problems and the construction of theories within the domain of economics

    A randomized response procedure for multiple-sensitive questions

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    The Randomized Response (RR) technique is a well-established interview procedure which guarantees privacy protection in social surveys dealing with sensitive items. The RR method assumes a stochastic mechanism to create uncertainty about the true status of the respondents in order to ensure privacy protection and to avoid tendencies to dissimulate or respond in a socially desirable direction. A very general model for the RR method was introduced by Franklin (Commun Stat Theory Methods 18:489–505, 1989)when a single-sensitive question is under study.However, since social surveys are often based on questionnaires containing more than a singlesensitive question, the analysis of multivariate RR data is of considerable interest. This paper focuses on the generalization of the Franklin model in a multiple-sensitive question setting and on related inferential issues

    Statistical Analysis of the Hirsch Index

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    The Hirsch index (commonly referred to as h -index) is a biblio- metric indicator which is widely recognized as effective for measuring the scientific production of a scholar since it summarizes si ze and impact of the research output. In a formal setting, the h -index is actually an empirical functional of the distribution of the citation counts received by the scholar. Under this approach, the asymptotic theory for the empirica l h - index has been recently exploited when the citation counts f ollow a continuous distribution and, in particular, variance esti mation has been considered for the Pareto-type and the Weibull-type di stribu- tion families. However, in bibliometric applications, cit ation counts display a distribution supported by the integers. Thus, we p rovide general properties for the empirical h -index under the small- and large-sample settings. In addition, we also introduce consistent nonparametric va riance estimation, which allows for the implemention of large-sam ple set estimation for the theoretical h -inde
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