Correction to a paper by A. G. Pakes

被引:3
作者
Berg, C
机构
关键词
indeterminate moment problems; length biasing; stationary excess-operation;
D O I
10.1017/S1446788700008703
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Starting from a probability a on the half-line with moments of any order A. G. Pakes has defined probabilities a, by length biasing of order r and g(r) by the stationary-excess operation of order r, r = 1, 2,.... Examples are given to show that a can be determined in the Stieltjes sense while sigma(1), and g(1) are indeterminate in the Stieltjes sense. This shows that a statement in a recent paper by Pakes does not hold.
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页码:67 / 73
页数:7
相关论文
共 14 条
[1]  
Akhiezer N. I., 1965, LECT APPROXIMATION T
[2]   DENSITY QUESTIONS IN THE CLASSICAL-THEORY OF MOMENTS [J].
BERG, C ;
CHRISTENSEN, JPR .
ANNALES DE L INSTITUT FOURIER, 1981, 31 (03) :99-114
[3]   When does a discrete differential perturbation of a sequence of orthonormal polynomials belong to l(2)? [J].
Berg, C ;
Duran, AJ .
JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 136 (01) :127-153
[4]   ROTATION INVARIANT MOMENT PROBLEMS [J].
BERG, C ;
THILL, M .
ACTA MATHEMATICA, 1991, 167 (3-4) :207-227
[5]   NEVANLINNA EXTREMAL MEASURES FOR SOME ORTHOGONAL POLYNOMIALS RELATED TO BIRTH AND DEATH PROCESSES [J].
BERG, C ;
VALENT, G .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 57 (1-2) :29-43
[6]   THE INDEX OF DETERMINACY FOR MEASURES AND THE L(2)-NORM OF ORTHONORMAL POLYNOMIALS [J].
BERG, C ;
DURAN, AJ .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (08) :2795-2811
[7]  
Berg C., 1991, POLYNOMIALS THEIR AP, P185
[8]  
BERG C, 1995, PROBABILITY MEASURES, V11
[9]  
Berg C., 1994, METHODS APPL ANAL, V1, P169, DOI [10.4310/MAA.1994.v1.n2.a3, DOI 10.4310/MAA.1994.V1.N2.A3]
[10]  
ISMAIL MEH, 1990, NATO ADV SCI I C-MAT, V294, P229