index_g {agop} | R Documentation |
Egghe's g-index
Description
Given a sequence of n
non-negative numbers x=(x_1,\dots,x_n)
,
where x_i \ge x_j \ge 0
for i \le j
,
the g
-index (Egghe, 2006) for x
is defined as
G(x)=\max\{i=1,\dots,n: \sum_{j=1}^i x_i \ge i^2\}
if n \ge 1
and x_1 \ge 1
, or G(x)=0
otherwise.
Usage
index_g(x)
index.g(x) # same as index_g(x), deprecated alias
index_g_zi(x)
Arguments
x |
a non-negative numeric vector |
Details
index.g
is a (deprecated) alias for index_g
.
Note that index_g
is not a zero-insensitive impact function,
see Examples section. index_g_zi
is its zero-sensitive variant:
it assumes that the aggregated vector is padded with zeros.
If a non-increasingly sorted vector is given, the function has O(n) run-time.
For historical reasons, this function is also available via an alias,
index.g
[but its usage is deprecated].
Value
a single numeric value
References
Egghe L., Theory and practise of the g-index, Scientometrics 69(1), 2006, pp. 131-152.
Mesiar R., Gagolewski M., H-index and other Sugeno integrals: Some defects and their compensation, IEEE Transactions on Fuzzy Systems 24(6), 2016, pp. 1668-1672. doi:10.1109/TFUZZ.2016.2516579
Gagolewski M., Mesiar R., Monotone measures and universal integrals in a uniform framework for the scientific impact assessment problem, Information Sciences 263, 2014, pp. 166-174. doi:10.1016/j.ins.2013.12.004
Gagolewski M., Data Fusion: Theory, Methods, and Applications, Institute of Computer Science, Polish Academy of Sciences, 2015, 290 pp. isbn:978-83-63159-20-7
See Also
Other impact_functions:
index_h()
,
index_lp()
,
index_maxprod()
,
index_rp()
,
index_w()
,
pord_weakdom()
Examples
sapply(list(c(9), c(9,0), c(9,0,0), c(9,0,0,0)), index_g) # not a zero-sensitive agop