@article{oai:barrel.repo.nii.ac.jp:00001004,
 author = {Ogasawara, Haruhiko},
 issue = {1},
 journal = {Behaviormetrika},
 month = {},
 note = {The generalized partial correlation is defined as a correlation between two variables, where the linear effects of common and unique third variables are partialed out from the two variables. The generalized partial correlation includes simple, partial, part/semipartial and bipartial correlations as special cases. The Edgeworth expansion of the distribution of the standardized sample coefficient for the generalized partial correlation is obtained up to order O(1/n) under nonnormality. Also asymptotic expansions of the distribution of the Studentized estimator are obtained using the Edgeworth expansion, Cornish-Fisher expansion and Hall's method with variable transformation. As extensions, the results of multivariate cases or generalized partial set-correlations are given.},
 pages = {15--33},
 title = {Asymptotic expansions of the distribution of the estimator for the generalized partial correlation under nonnormality.},
 volume = {35},
 year = {2008}
}