is the average number of citations received by an author's articles.
is defined as the maximum number of articles h such that each has received at least h citations (Hirsch, 2005). The h index is the most widely adopted impact metric. It summarizes the impact of a scholar's career using a single number without any threshold.
attempts to apportion citations fairly for papers with multiple authors (Schreiber, 2008). It counts the papers fractionally according to the number of authors. This yields an effective rank, which is utilized to define hm as the maximum effective number of papers that have been cited hm or more times.
was proposed as a universal variant of h (Radicchi, Fortunato, & Castellano, 2008). The number of citations c received by each paper is normalized by the average number of citations c0 for papers published in the same year and discipline. The rank of each paper n is rescaled by the average number n0 of papers per author written in the same year and discipline. The hf index of the author is the maximum rescaled rank hf such that each of the top hf papers has at least hf rescaled citations.
is proposed here as a normalization of the h index by the average h of the authors in the same discipline. Numerical tests show that the distribution of h is not scale-free and therefore the mean is well defined. Despite its simplicity, we are not aware of this metric being previously defined in the literature. Note that within a discipline, hsproduces the same ranking as h. Therefore, hs is very similar to the percentile score but slightly easier to compute. Percentiles have been proposed for normalization of journal impact factors (Leydesdorff & Bornmann, 2011).
Redner's index ctotal1/2
is defined as the square root of the total number of citations received by an author's articles (Redner, 2010)
is the highest number g of papers that together receive g2 or more citations (Egghe, 2006). It attempts to mitigate the insensitivity of the h index to the number of citations received by highly cited papers.
is proposed by Google and is defined as the number of articles with at least ten citations each (Google scholar citations open to all, 2011).
involves normalizing the total number of citations in the h-core (the papers that contribute to the h index) by the total number of authors contributing to them. The resulting hi of each author is then normalized by the average hi of the author's discipline (Batista, Campiteli, & Kinouchi, 2006).
New crown indicator(c/c0)avg
was proposed by Lundberg (2007) as the item oriented field-normalized citation score (FNCS) and implemented by Waltman, van Eck, van Leeuwen, Visser, and van Raan (2011). It is calculated as the average field-normalized number of citations c/c0 across an author's publications.