Fisher's z-distribution

Fisher's z-distribution is the statistical distribution of half the logarithm of an F-distribution variate: Fisher's z-distribution is the statistical distribution of half the logarithm of an F-distribution variate: It was first described by Ronald Fisher in a paper delivered at the International Mathematical Congress of 1924 in Toronto. Nowadays one usually uses the F-distribution instead. The probability density function and cumulative distribution function can be found by using the F-distribution at the value of x ′ = e 2 x {displaystyle x'=e^{2x},} . However, the mean and variance do not follow the same transformation. The probability density function is where B is the beta function. When the degrees of freedom becomes large ( d 1 , d 2 → ∞ {displaystyle d_{1},d_{2} ightarrow infty } ) the distribution approaches normality with mean