agop (version 0.1-3)

index_maxprod: Kosmulski's MAXPROD-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 MAXPROD-index (Kosmulski, 2007) for $x$ is defined as $$MAXPROD(x)=\max{i x_i: i=1,\dots,n}$$

Usage

index_maxprod(x)

Arguments

x

a non-negative numeric vector

Value

• a single numeric value

Details

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

MAXPROD index is the same as the discrete Shilkret integral of x w.r.t. the counting measure.

See index_lp for a natural generalization.

References

Kosmulski M., MAXPROD - A new index for assessment of the scientific output of an individual, and a comparison with the h-index, Cybermetrics 11(1), 2007.

See Also

Other impact_functions: index_g, index_g_zi, index_h, index_lp, index_rp, index_w, index.g, index.h, index.lp, index.rp