Von Mises Distribution
Calculate the probability density function, lower cumulative probability, and upper cumulative probability of the von Mises distribution, and display the graph.
| \(\normalsize von\ Mises\ distribution\\ (1) probability\ density\\ \hspace{30px}f(x,\mu,\kappa)={\large\frac{e^{\kappa \cos(x-\mu)}}{2\pi I_0(\kappa)}}\\ (2) lower\ cumulative\ distribution\\ \hspace{30px}P(x,\mu,\kappa)={\large\int_{\small 0}^{\small x}}f(t,\mu,\kappa)dt\\ (3) upper\ cumulative\ distribution\\ \hspace{30px}Q(x,\mu,\kappa)={\large\int_{\small x}^{\small 2\pi}}f(t,\mu,\kappa)dt\\ \) |
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