Geodesic
About distinguishing of BS-distribution from the family of GBS-distributions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 31-36 
I. N. Volodin; O. A. Dzhungurova; S. V. Simushkin. About distinguishing of BS-distribution from the family of GBS-distributions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 31-36. http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a3/
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     title = {About distinguishing of {BS-distribution} from the family of {GBS-distributions}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a3/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A likelihood-ratio test is constructed which distinguishes the Birnbaum–Saunders distribution from the family of the generalized Birnbaum–Saunders distributions. It is established that the asymptotical distribution of the test statistics is chi-square distribution with one degree of freedom. An accuracy of approximation is investigated by Monte–Carlo method.

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