Brito, RicardoRodríguez Navarro, Aonso2023-06-172023-06-172018-021751-157710.1016/j.joi.2018.01.011https://hdl.handle.net/20.500.14352/13121© 2018 Elsevier Ltd. All rights reserved. This work was supported by the Spanish Ministerio de Economía y Competitividad, grant numbers FIS2014-52486-R and FIS2017-83709-R.In the double rank analysis of research publications, the local rank position of a country or institution publication is expressed as a function of the world rank position. Excluding some highly or lowly cited publications, the double rank plot fits well with a power law, which can be explained because citations for local and world publications follow lognormal distributions. We report here that the distribution of the number of country or institution publications in world percentiles is a double rank distribution that can be fitted to a power law. Only the data points in high percentiles deviate from it when the local and world parameters of the lognormal distributions are very different. The likelihood of publishing very highly cited papers can be calculated from the power law that can be fitted either to the upper tail of the citation distribution or to the percentile-based double rank distribution. The great advantage of the latter method is that it has universal application, because it is based on all publications and not just on highly cited publications. Furthermore, this method extends the application of the well-established percentile approach to very low percentiles where breakthroughs are reported but paper counts cannot be performed. (C) 2018 Elsevier Ltd. All rights reserved.engjournal articlehttp://dx.doi.org/10.1016/j.joi.2018.01.011https://www.sciencedirect.com/science/open access536Highly cited papersSize-independent indicatorsCitation impact indicatorsBibliometric indicatorsBasic researchPerformance indicatorsScientific excellenceDistributionsPublicationsProductivityTermodinámica2213 Termodinámica