Manhattan: Manhattan Distance

Description Usage Arguments Details Value See Also

Description

Compute the Manhattan distance between two probability distributions. This distance is also known as the taxicab distance, the city block distance, the rectilinear distance, and the snake distance.

Usage

1
2
## S4 method for signature 'Distribution,Distribution'
Manhattan(p1, p2)

Arguments

p1, p2

Distributions.

Details

Let p1 and p2 denote the vectors of probability mass assigned by two distributions defined on the same state space. Then, the Manhattan distance between p1 and p2 is given by sum(abs(p1 - p2)).

The Manhattan distance is equal to the 1-metric. It is also equal to twice the trace distance.

Value

The Manhattan distance between distributions p1 and p2.

See Also

p-metric, TotalVariation


patrickreidy/distdist documentation built on May 22, 2019, 12:40 p.m.