index_w: Woeginger's w-index

In agop: Aggregation Operators and Preordered Sets

Description

Given a sequence of n non-negative numbers x=(x_1,…,x_n), where x_i ≥ x_j ≥ 0 for i ≤ j, the w-index (Woeginger, 2008) for x is defined as

W(x)=max{i=1,…,n: x_j >= i-j+1 for all j=1,…,i}

Usage

index_w(x)

Arguments

x	a non-negative numeric vector

Details

If a non-increasingly sorted vector is given, the function has O(n) run-time.

See index_rp for a natural generalization.

Value

a single numeric value

References

Woeginger G. J., An axiomatic characterization of the Hirsch-index. Mathematical Social Sciences 56(2), 2008, pp. 224-232.

See Also

Other impact_functions: index_g, index_h, index_lp, index_maxprod, index_rp, pord_weakdom

agop documentation built on March 26, 2020, 7:48 p.m.