# 双曲線正割分布

母数 確率密度関数 累積分布関数 none ${\displaystyle x\in (-\infty ;+\infty )\!}$ ${\displaystyle {\frac {1}{2}}\operatorname {sech} \!\left({\frac {\pi }{2}}\,x\right)\!}$ ${\displaystyle {\frac {1}{2}}+{\frac {1}{\pi }}\operatorname {gd} \left({\frac {\pi }{2}}\,x\right)={\frac {2}{\pi }}\arctan \!\left[\exp \!\left({\frac {\pi }{2}}\,x\right)\right]\!}$ ${\displaystyle 0}$ ${\displaystyle 0}$ ${\displaystyle 0}$ ${\displaystyle 1}$ ${\displaystyle 0}$ ${\displaystyle 2}$ 4/π K ${\displaystyle \;\approx 1.16624}$ ${\displaystyle \sec(t)\!}$ for ${\displaystyle |t|<{\frac {\pi }{2}}\!}$ ${\displaystyle \operatorname {sech} (t)\!}$ for ${\displaystyle |t|<{\frac {\pi }{2}}\!}$ テンプレートを表示