Semi-selfdecomposable distributions and a new class of limit theorems

Probability Theory and Related Fields

Volumn 112, Issue 1, 1998, Pages 13-31

  Maejima, Makoto ^a   Naito, Yoshihiro ^a,b  

^a KEIO UNIVERSITY   (Japan)

^b Dai ichi Kangyo Bank   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032165658     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050181     Document Type: Article

References (11)

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6. Loève, M.: Probability Theory I, 4th ed. Springer-Verlag (1977)
7. Meerschaert, M.M., Scheffler, H.-P.: Series representation for semistable laws and their domain of semistable attraction. J. Theor. Probab., 9, 931-959 (1996)
8. Sato, K.: Class L of multivariate distributions and its subclasses. J. Multivar. Anal., 10, 207-232 (1980)
9. Sato, K.: Private communication (1997)
10. Urbanik, K.: Slowly varying sequences of random variables. Bull. Acad. Pol. Sci. Sér. Sci. Math. Astronom. Phys., 20, 679-682 (1972)
11. Urbanik, K.: Limit laws for sequences of normed sums satisfying some stability conditions. In : Karishniah, P.R. (ed.) Multivariate Analysis-III, Academic Press 225-237 (1973)