Description Usage Arguments Details Value References See Also Examples
Given a sequence of n non-negative numbers x=(x_1,…,x_n), where x_i ≥ x_j for i ≤ j, the r_p-index for p=∞ equals to
r_p(x) = max{ min{i, x_i} } for i=1,…,n
if n ≥ 1, or r_∞(x)=0 otherwise.
That is, it is equivalent to a particular OWMax operator,
see owmax
.
For the definition of the r_p-index for p < ∞ we refer to (Gagolewski, Grzegorzewski, 2009).
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x |
a non-negative numeric vector |
p |
index order, p in [1,∞]; defaults ∞ ( |
Note that if x_1,…,x_n are integers, then
r_∞(x)=H(x),
where H is the h-index (Hirsch, 2005) and
r_1(x)=W(x),
where W is the w-index (Woeginger, 2008),
see index_h
and index_w
.
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.rp
[but its usage is deprecated].
a single numeric value
Gagolewski M., Grzegorzewski P., A geometric approach to the construction of scientific impact indices, Scientometrics 81(3), 2009, pp. 617-634.
Hirsch J.E., An index to quantify individual's scientific research output, Proceedings of the National Academy of Sciences 102(46), 2005, pp. 16569-16572.
Woeginger G.J., An axiomatic characterization of the Hirsch-index, Mathematical Social Sciences 56(2), 2008, pp. 224-232.
Other impact_functions: index_g
,
index_h
, index_lp
,
index_maxprod
, index_w
,
pord_weakdom
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