A probabilistic interpretation of complete monotonicity

Aequationes mathematicae - Tập 10 Số 2-3 - Trang 152-164 - 1974
Clark Kimberling1
1University of Evansville, Evansville, USA

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Tài liệu tham khảo

Aczél, J.,Lectures on Functional Equations and Their Applications (Academic Press, New York — London 1966).

Apostol, Tom M.,Mathematical Analysis (Addison Wesley, Reading, Massachusetts 1957).

Eisenberg, S. M.,Moment Sequences and the Bernstein Polynomials, Canad. Math. Bull.12, 401–411 (1969).

Feller, W.,An Introduction to Probability Theory and Its Applications, Vol. II. (John Wiley and Sons, New York 1968).

de Finetti, B.,Funzione caratteristica di un fenomeno aleatorio, Mem. Reale Academia Naz. Lincei, Ser. 64, 251–299 (1931).

Kimberling, C. H.,On a Class of Associative Functions, Publ. Math. Debrecen (to appear).

Ling, Cho-Hsin,Representation of Associative Functions, Publ. Math. Debrecen12, 189–212 (1965).

Menger, K.,Statistical Metrics, Proc. Nat. Acad. Sci. U.S.A.28, 535–537 (1942).

Mostert, P. S. andShields, A. L.,On the Structure of Semigroups on a Compact Manifold with Boundary, Ann. of Math.65, 117–143 (1957).

Schweizer, B. andSklar, A.,Associative Functions and Statistical Triangle Inequalities, Publ. Math. Debrecen8, 169–186 (1961).

Schweizer, B. andSklar, A.,Associative Functions and Abstract Semigroups. Publ. Math. Debrecen10, 69–81 (1963).

Storey, C. R.,The Structure of Threads, Pacific J. Math.10, 1429–1445 (1960).

Tucker, H. G.,A Graduate Course in Probability (Academic Press, New York 1967).

Widder, D. V.,The Laplace Transform (Princeton University Press, Princeton 1946).