A generalized logistic approximation of the student t distribution


A generalization of the logistic distribution is defined and its cumulants are derived. By equating coefficients of kurtosis of the generalized logistic and the Student t distribution, an accurate and simple approximation is obtained for the Student t distribution. The accuracy of the approximation is illustrated by comparing it with some tabulated values of the t distribution. © 1986, Taylor & Francis Group, LLC. All rights reserved.

Publication Title

Communications in Statistics - Simulation and Computation