Circular uniform distribution

In probability theory and directional statistics, a circular uniform distribution is a probability distribution on the unit circle whose density is uniform for all angles. In probability theory and directional statistics, a circular uniform distribution is a probability distribution on the unit circle whose density is uniform for all angles. The probability density function (pdf) of the circular uniform distribution is: In terms of the circular variable z = e i θ {displaystyle z=e^{i heta }} the circular moments of the circular uniform distribution are all zero, except for m 0 {displaystyle m_{0}} : where δ n {displaystyle delta _{n}} is the Kronecker delta symbol.