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:

    “O wily painter, limiting the scene
    From a cacophony of dusty forms
    To the one convulsion,”
    —Thom Gunn (b. 1929)

    “The purpose of polite behavior is never virtuous. Deceit, surrender, and concealment: these are not virtues. The goal of the mannerly is comfort, per se.”
    —June Jordan (b. 1939)