Cumulants and partition lattices IV: A.S. convergence of generalised k-statistics

Journal of the Australian Mathematical Society

Volumn 41, Issue 1, 1986, Pages 79-94

  Speed, T P ^a  

^a CSIRO   (Australia)

Author keywords

anova models; asymptotics; cumulant; k statistic; partial exchangeability; variance component estimation

Indexed keywords

EID: 0040113899     PISSN: 14467887     EISSN: 14468107     Source Type: Journal    
DOI: 10.1017/S1446788700028093     Document Type: Article

References (13)

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2. David J. Aldous (1985), ‘Exchangeability and related topics’, École d'Été de Probabiliés de Saint-Flour XIII 1983, eds., D. J. Aldous, I. A. Ibragimov and J. Jacod, Lecture Notes in Mathematics 1117, Springer, New York, 1–198.
3. R. A. Bailey, C. E. Praeger, C. A. Rowley and T. P. Speed (1983), ‘Generalised wreath products of permutation groups’, Proc. London. Math. Soc. (3) 47, 69–82.
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6. John James Miller (1973), Asymptotic properties and computation of maximum likelihood estimates in the mixed model of the analysis of variance (Ph.D. Thesis, Stanford University).
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8. P. A. Meyer (1966), Probabilities and potentials (Blaisdell, Waltham, Mass.)
9. C. E. Praeger, C. A. Rowley and T. P. Speed (1985), ‘A note on generalised wreath product groups’, J. Austral. Math. Soc. (Ser. A) 39, 415–420.
10. Alfred Rényi (1970), Foundations of probability (Holden-Day, San Francisco).
11. T. P. Speed (1984), ‘On the Mobius function of Hom(P, Q)’, Bull. Austral. Math. Soc. 29, 39–46.
12. T. P. Speed (1986a), ‘Cumulants and partition lattices II: Generalised k-statistics’, J. Austral. Math. Soc. (Ser. A) 40, 34–53.
13. T. P. Speed (1986b), ‘Cumulants and partition lattices III: Multiply-indexed arrays’, J. Austral. Math. Soc. (Ser. A) 40, 161–182.