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
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
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
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
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
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
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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