A note on estimating the diameter of a truncated moment class

Statistics and Probability Letters

Volumn 54, Issue 2, 2001, Pages 115-124

  Tardella, Luca ^a  

^a Stat Statistiche Applicate U   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042704023     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(00)00205-4     Document Type: Article

References (9)

1. Dette H., Studden W.J. The Theory of Canonical Moments with Applications in Statistics, Probability, and Analysis. 1997;Wiley, New York.
2. Karlin, S., Studden, W.J., 1966. Tchebycheff systems: With applications in analysis and statistics. Pure and Applied Mathematics, Vol. XV. Interscience-Wiley, New York, London, Sydney.
3. Klebanov, L.B., Mkrtchyan, S.T., 1980. Estimate of the proximity of distributions in terms of coinciding moments. Proceedings of the Fourth All-Union Seminar on Problems of Stability of Stochastic Models, Palanga, 1979, Vsesojuz. Nauc.-Issled. Inst. Sistem. Issled., Moscow, pp. 64-72 (in Russian).
4. Krein, M.G., Nudelman, A.A., 1977. The Markov moment problem and extremal problems. YNT: Ideas and problems of P.L. Cebysev and A.A. Markov and their further development. Translations of Mathematical Monographs, Vol. 50. American Mathematical Society, Providence, RI. (Translated from Russian by D. Louvish.).
5. Skibinsky M. The range of the. (n+1) th moment for distributions on [0,1] J. Appl. Probab. 4:1967;543-552.
6. Skibinsky M. Extreme. n th moments for distributions on [0,1] J. Appl. Probab. 5:1968;693-701.
7. Skibinsky M. Principal representations and canonical moment sequences for distributions on an interval. J. Math. Anal. Appl. 120(1):1986;95-118.
8. Zolotarev V.M. Metric distances in spaces of random variables and of their distributions. Mat. Sb. (NS) (143). 456(3):1976;416-454.
9. Zolotarev V.M., Senatov V.V. Two-sided estimates of the Levy metric. Teor. Veroyatnost. i Primenen. 20(2):1975;239-250.