2021-05-16T03:16:23Zhttps://senshu-u.repo.nii.ac.jp/?action=repository_oaipmhoai:senshu-u.repo.nii.ac.jp:000075942021-04-09T00:10:18Z00027:00032:00861:00862:00865
Asymptotic order of the expected length of excursions for the processes with a Scale mixture of normal distribution, IIengAbelian theoremgeneralized Gamma distributionLaplace transformlength of excursionsScale mixture of normal distributionhttp://id.nii.ac.jp/1682/00007588/info:doi/10.34360/00007588Departmental Bulletin PaperTanaka, MinoruIn this paper we provide a proof of the conjecture for the asymptotic order of the expected mean length of excursions for some ellipsoidal processes with a scale mixture of normal (SMN) distribution whose mixing distribution is the generalized Gamma distribution, which was presented in the previous paper of Tanaka [15]. It is seen that the L'Hopital's rule and the Abelian theorem for the two-sided Laplace transforms are useful to evaluate the asymptotic order in the proof.The Institute of Information Science Senshu Universityapplication/pdf1349-1938Information Science and Applied Mathematics151162007https://senshu-u.repo.nii.ac.jp/?action=repository_action_common_download&item_id=7594&item_no=1&attribute_id=32&file_no=12019-11-19