The range of the (n + 1)th moment for distributions on [0, 1]
1967 ◽
Vol 4
(03)
◽
pp. 543-552
◽
Keyword(s):
Let p denote the class of all probability measures defined on the Borel subsets of the unit interval I = [0, 1]. For each positive integer n, take Mn is convex, closed, bounded, and n-dimensional; the convex hull of the space curve {(t,t2, …, tn ): 0 ≦ t ≦ 1}; e.g., see Theorems 7.2, 7.3 of [1]. At each point (c1, C2, …, cn ) of Mn , define Note that v −, v + depend only on C1, C2, …, Cn− 1; Vm only on cn ; We shall as notational convenience dictates and as will be apparent from the context regard v ± n as functions on Mn− 1 or on higher order moment spaces and also regard Vn as a function on moment spaces of order higher than n.
Keyword(s):
1962 ◽
Vol 14
◽
pp. 565-567
◽
Keyword(s):
1968 ◽
Vol 5
(03)
◽
pp. 693-701
◽
1993 ◽
Vol 51
◽
pp. 450-451
Keyword(s):
1991 ◽
Vol 14
(3)
◽
pp. 457-462
◽
Keyword(s):
1970 ◽
Vol 11
(4)
◽
pp. 417-420
1961 ◽
Vol 5
(1)
◽
pp. 35-40
◽