Nakagami distribution

The Nakagami distribution or the Nakagami-m distribution is a probability distribution related to the gamma distribution. The family of Nakagami distributions has two parameters: a shape parameter m ≥ 1 / 2 {displaystyle mgeq 1/2} and a second parameter controlling spread Ω > 0 {displaystyle Omega >0} .'The radius around the true mean in a bivariate normal random variable, re-written in polar coordinates (radius and angle), follows a Hoyt distribution. Equivalently, the modulus of a complex normal random variable does.' The Nakagami distribution or the Nakagami-m distribution is a probability distribution related to the gamma distribution. The family of Nakagami distributions has two parameters: a shape parameter m ≥ 1 / 2 {displaystyle mgeq 1/2} and a second parameter controlling spread Ω > 0 {displaystyle Omega >0} . Its probability density function (pdf) is Its cumulative distribution function is where P is the incomplete gamma function (regularized). The parameters m {displaystyle m} and Ω {displaystyle Omega } are