Von Mises Distribution - Limiting Behavior

Limiting Behavior

In the limit of large κ the distribution becomes a normal distribution

\lim_{\kappa\rightarrow\infty} f(x|\mu,\kappa)=\frac{\exp\left}{\sigma\sqrt{2\pi}}

where σ2 = 1/κ. In the limit of small κ it becomes a uniform distribution:

where the interval for the uniform distribution U(x) is the chosen interval of length 2π.

Read more about this topic:  Von Mises Distribution

Famous quotes containing the words limiting and/or behavior:

    “A way of certifying experience, taking photographs is also a way of refusing it—by limiting experience to a search for the photogenic, by converting experience into an image, a souvenir. Travel becomes a strategy for accumulating photographs.”
    —Susan Sontag (b. 1933)

    “No matter how calmly you try to referee, parenting will eventually produce bizarre behavior, and I’m not talking about the kids. Their behavior is always normal.”
    —Bill Cosby (b. 1937)