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:

    “Do we honestly believe that hopeless kids growing up under the harsh new rules will turn out to be chaste, studious, responsible adults? On the contrary, by limiting welfare, job training, education and nutritious food, won’t we plant the seeds for another bumper crop of out-of-wedlock moms, deadbeat dads and worse?”
    —Richard B. Stolley (20th century)

    “The inability to control our children’s behavior feels the same as not being able to control it in ourselves. And the fact is that primitive behavior in children does unleash primitive behavior in mothers. That’s what frightens mothers most. For young children, even when out of control, do not have the power to destroy their mothers, but mothers who are out of control feel that they may destroy their children.”
    —Elaine Heffner (20th century)