Moments and Generalized Convolutions. III

• Autorzy: Urbanik K.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with some uniqueness and characterization theorems for probability measures and generalized convolutions in terms of negative moments.

Słowa kluczowe

EN

generalized convolutions; negative moments; probability measures

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 1999
• Tom: Vol. 19, Fasc. 1
• Strony: 153--169
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Urbanik K.

• Institute of Mathematics, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [1] H. Bateman et al., Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York 1953.
• [2] - Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York 1953.
• [3] M. Sh. Braverman, C. L. Mallows and L. A. Shepp, A characterization of probability distributions by absolute moments of partial sums, Theory Probab. Appl. 40 (1995), pp. 270-285.
• [4] B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Reading 1968.
• [5] K. Urbanik, Generalized convolutions. III, Studia Math. 80 (1984), pp. 167-189.
• [6] - Generalized convolutions. IV, ibidem 83 (1986), pp. 57-95.
• [7] - Domains of attraction and moments, Probab. Math. Statist. 8 (1987), pp. 89-101.
• [8] - Moments and generalized convolutions, ibidem 6 (1985), pp. 173-185.
• [9] - Moments and generalized convolutions. II, ibidem 14 (1993), pp. 1-9.
• [10] - Analytical methods in probability theory, in: Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, Prague 1988, pp. 151-163.
• [11] M. Yamazato, Unimodality of infinitely divisible distribution functions of class L, Ann. Probab. 6 (1978), pp. 523-531.