Individual authors evaluation

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Existing metrics

Name	Definition
Citation count	$\sum_{i=1}^{n}C_i$ , $C =$ citations count
Average citations per paper	$\frac{1}{n}\sum_{i=1}^{n}C_i$ , $C =$ citations count
$h$ index	A scientist has index $h$ if $h$ of his or her $N p$ papers have at least $h$ citations each and the other $N p - h$ papers have fewer than $h$ citations each (Hirsch, 2005)
$g$ index	The highest number $g$ of papers that together received $g 2$ or more citations (Egghe, 2006)
Signal to noise ratio	ratio between the number of published items that received at least one citation and the overall number of published items
$m$ quotient	$\frac{h}{y}$ , where $h = h$ index, $y =$ number of years since publishing the first paper
$h (2)$ index	A scientist's $h (2)$ index is defined as the highest natural number such that his $h (2)$ most-cited papers received at least $[h (2) 2]$ citations (Kosmulski, 2006)
$a$ index	$\frac{1}{h}\sum_{j=1}^{h}C_j$ , where $h = h$ index and $C =$ citations count
$m$ index	The median number of citations received by papers in the Hirsch core (this is the papers ranking smaller than or equal to $h$ )
$r$ index	$\sqrt{\sum_{j=1}^{h}C_j}$ , where $h = h$ index, $C =$ citations count
$a r$ index	$\sqrt{\sum_{j=1}^{h}\frac{C_j}{a_j}}$ , where $h = h$ index, $C =$ citations count, $a =$ years since publishing

The indices can be slightly changed considering only part of the citations received. For example, it is often interesting to see how they change according to the subtraction of the so-called "self-citations" from the overall citations count.

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