TY  - JOUR
TI  - Logistic or not Logistic?
AU  - Allison, James S.
AU  - Ebner, Bruno
AU  - Smuts, Marius
PY  - 2023
PB  - Wiley
LA  - eng
AB  - We propose a new class of goodness‐of‐fit tests for the logistic distribution based on a characterization related to the density approach in the context of Stein's method. This characterization‐based test is a first of its kind for the logistic distribution. The asymptotic null distribution of the test statistic is derived and it is shown that the test is consistent against fixed alternatives. The finite sample power performance of the newly proposed class of tests is compared to various existing tests by means of a Monte Carlo study. It is found that this new class of tests are especially powerful when the alternative distributions are heavy tailed, like Student's t and Cauchy, or for skew alternatives such as the log‐normal, gamma and chi‐square distributions.
UR  - https://doi.org/10.1111/stan.12292
DO  - 10.1111/stan.12292
T2  - Statistica Neerlandica: journal of the Netherlands Society for Statistics and Operations Research
VL  - 77
IS  - 4
SN  - 1467-9574
SP  - 429-443
UR  - https://www.pollux-fid.de/r/cr-10.1111/stan.12292
H1  - Pollux (Fachinformationsdienst Politikwissenschaft)
ER  -