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Volumn 25, Issue 1, 1997, Pages 215-229

Nested classes of C-decomposable laws

Author keywords

Class L distribution; Decomposability semigroup; Infinite Bernoulli convolution; Infinitely divisible measure; Normed sum; Self decomposable measure

Indexed keywords


EID: 0031516657     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1024404286     Document Type: Article
Times cited : (17)

References (29)
  • 2
    • 0002312674 scopus 로고
    • On the continuity of the distribution of a sum of dependent variables connected with independent walks on lines
    • GRINCEVIČIUS, A. (1974). On the continuity of the distribution of a sum of dependent variables connected with independent walks on lines. Theory Probab. Appl. 19 163-168.
    • (1974) Theory Probab. Appl. , vol.19 , pp. 163-168
    • Grincevičius, A.1
  • 3
    • 0040176549 scopus 로고
    • c-Decomposability of characteristic functions
    • ILINSKII, A. (1978). c-Decomposability of characteristic functions. Lithuanian Math. J. 18 481-485.
    • (1978) Lithuanian Math. J. , vol.18 , pp. 481-485
    • Ilinskii, A.1
  • 4
    • 0040176547 scopus 로고
    • m(Q) of probability measures on Banach spaces
    • m(Q) of probability measures on Banach spaces. Bull. Polish Acad. Sci. Math. 31 51-62.
    • (1983) Bull. Polish Acad. Sci. Math. , vol.31 , pp. 51-62
    • Jurek, Z.1
  • 5
    • 0038416855 scopus 로고
    • Limit distributions and one-parameter groups of linear operators on Banach spaces
    • JUREK, Z. (1983b). Limit distributions and one-parameter groups of linear operators on Banach spaces. J. Multivariate Anal. 13 578-604.
    • (1983) J. Multivariate Anal. , vol.13 , pp. 578-604
    • Jurek, Z.1
  • 6
    • 0040770739 scopus 로고
    • Operator exponents of probability measures and Lie semigroups
    • JUREK, Z. (1992). Operator exponents of probability measures and Lie semigroups. Ann. Probab. 20 1053-1062.
    • (1992) Ann. Probab. , vol.20 , pp. 1053-1062
    • Jurek, Z.1
  • 8
    • 0038992336 scopus 로고
    • Decomposition of random variables and vectors. Amer. Math. Soc., Providence, RI
    • LINNIK, J. and OSTROVSKIǏ, I. (1977). Decomposition of Random Variables and Vectors (Transl. Math. Monograph 48). Amer. Math. Soc., Providence, RI.
    • (1977) Math. Monograph , vol.48
    • Linnik, J.1    Ostrovskiǐ, I.2
  • 9
    • 0012055281 scopus 로고
    • Nouvelles classes de lois limites
    • (In French.)
    • LOÉVE, M. (1945). Nouvelles classes de lois limites. Bull. Soc. Math. France 73 107-126. (In French.)
    • (1945) Bull. Soc. Math. France , vol.73 , pp. 107-126
    • Loéve, M.1
  • 12
    • 4243475300 scopus 로고
    • On certain classes of limit distributions
    • (In Russian.)
    • MIŠEIKIS, F. (1972). On certain classes of limit distributions. Litovsk. Mat. Sb. 12 133-152. (In Russian.)
    • (1972) Litovsk. Mat. Sb. , vol.12 , pp. 133-152
    • Mišeikis, F.1
  • 13
    • 4244064881 scopus 로고
    • Interrelationship between certain classes of limit distributions
    • MIŠEIKIS, F. (1976). Interrelationship between certain classes of limit distributions. Lithuanian. Math. J. 15 243-246.
    • (1976) Lithuanian. Math. J. , vol.15 , pp. 243-246
    • Mišeikis, F.1
  • 14
    • 25044461398 scopus 로고
    • Limit distributions of normalized partial sums of a sequence of infinite-dimensional random elements
    • MIŠEIKIS, F. (1983). Limit distributions of normalized partial sums of a sequence of infinite-dimensional random elements. Lithuanian Math. J. 23 78-86.
    • (1983) Lithuanian Math. J. , vol.23 , pp. 78-86
    • Mišeikis, F.1
  • 15
    • 0039585150 scopus 로고
    • An example of the decomposability semigroup
    • NIEDBALSKA, T. (1978). An example of the decomposability semigroup. Colloq. Math. 39 137-139.
    • (1978) Colloq. Math. , vol.39 , pp. 137-139
    • Niedbalska, T.1
  • 16
    • 0040770738 scopus 로고
    • On decomposability semigroups on the real line
    • NIEDBALSKA-RAJBA, T. (1981). On decomposability semigroups on the real line. Colloq. Math. 44 347-358.
    • (1981) Colloq. Math. , vol.44 , pp. 347-358
    • Niedbalska-Rajba, T.1
  • 17
    • 0000154680 scopus 로고
    • Class L of multivariate distributions and its subclasses
    • SATO, K. (1980). Class L of multivariate distributions and its subclasses. J. Multivariate Anal. 10 207-232.
    • (1980) J. Multivariate Anal. , vol.10 , pp. 207-232
    • Sato, K.1
  • 18
    • 84972525212 scopus 로고
    • Completely operator-selfdecomposable distributions and operator-stable distributions
    • SATO, K. and YAMAZATO, M. (1985). Completely operator-selfdecomposable distributions and operator-stable distributions. Nagoya Math. J. 97 71-94.
    • (1985) Nagoya Math. J. , vol.97 , pp. 71-94
    • Sato, K.1    Yamazato, M.2
  • 19
    • 84985332713 scopus 로고
    • Strongly operator-decomposable probability measures on separable Banach spaces
    • SIEBERT, E. (1991). Strongly operator-decomposable probability measures on separable Banach spaces. Math. Nachr. 154 315-326.
    • (1991) Math. Nachr. , vol.154 , pp. 315-326
    • Siebert, E.1
  • 20
    • 0038992333 scopus 로고
    • Operator-decomposability of Gaussian measures on separable Banach spaces
    • SIEBERT, E. (1992). Operator-decomposability of Gaussian measures on separable Banach spaces. J. Theoret. Probab. 5 333-347.
    • (1992) J. Theoret. Probab. , vol.5 , pp. 333-347
    • Siebert, E.1
  • 22
    • 0038992335 scopus 로고
    • Levy's probability measures on Euclidean spaces
    • URBANIK, K. (1972). Levy's probability measures on Euclidean spaces. Stud. Math. 44 119-148.
    • (1972) Stud. Math. , vol.44 , pp. 119-148
    • Urbanik, K.1
  • 23
    • 0039585141 scopus 로고
    • Limit laws for sequences of normed sums satisfying some stability conditions
    • (P. Krishnaiah, ed.) Academic Press, New York
    • URBANIK, K. (1973). Limit laws for sequences of normed sums satisfying some stability conditions. In Multivariate Analysis 3 (P. Krishnaiah, ed.) 225-237. Academic Press, New York.
    • (1973) Multivariate Analysis , vol.3 , pp. 225-237
    • Urbanik, K.1
  • 24
    • 0039585146 scopus 로고
    • Some examples of decomposability semigroups
    • URBANIK, K. (1976). Some examples of decomposability semigroups. Bull. Polish Acad. Sci. Math. 24 915-918.
    • (1976) Bull. Polish Acad. Sci. Math. , vol.24 , pp. 915-918
    • Urbanik, K.1
  • 26
    • 0012087250 scopus 로고
    • Continuity properties of decomposable probability measures on Euclidean spaces
    • WOLFE, S. (1983). Continuity properties of decomposable probability measures on Euclidean spaces. J. Multivariate Anal. 13 534-538.
    • (1983) J. Multivariate Anal. , vol.13 , pp. 534-538
    • Wolfe, S.1
  • 27
    • 0002027744 scopus 로고
    • On classes of limit distributions in a summation scheme
    • ZAKUSILO, O. (1976). On classes of limit distributions in a summation scheme. Theory Probab. Math. Statist. 12 44-48.
    • (1976) Theory Probab. Math. Statist. , vol.12 , pp. 44-48
    • Zakusilo, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.