Additive Noise
An alternative way of thinking of location families is through the concept of additive noise. If μ is an unknown constant and W is random noise with probability density, then has probability density and is therefore a location family.
Read more about this topic: Location Parameter
Famous quotes containing the word noise:
“But what it was, alas, I cannot tell,
Because of it I had no perfect view;
But as it was, by guess, I wish it well
And will until I see the same anew.
Shadow, or she, or both, or choose you whither:
Blest be the thing that brought the shadow hither.”
—Unknown. I Heard a Noise and Wishèd for a Sight (l. 13–18)