Joint Entropy - Definition

Definition

The joint entropy of two variables and is defined as

where and are particular values of and, respectively, is the probability of these values occurring together, and is defined to be 0 if .

For more than two variables this expands to

where are particular values of, respectively, is the probability of these values occurring together, and is defined to be 0 if .

Read more about this topic:  Joint Entropy

Famous quotes containing the word definition:

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)

    No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.
    Florence Nightingale (1820–1910)