Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

References

[1] Cramer H., Mathematical Methods of Statistics, Asia Publishing House, 1962, 590 pp.Suche in Google Scholar

[2] Chernoff H., Lehmann E.L., "The use of maximum likelihood estimates in χ2tests for goodness of fit", Ann. Math. Statist., 25:3 (1954), 579–586.10.1007/978-1-4614-1412-4_47Suche in Google Scholar

[3] Balakrishnan N., Voinov V., Nikulin M. S., Chi-Squared Goodness of Fit Tests with Applications, Academic Press, 2013, 256 pp.Suche in Google Scholar

[4] Bulinskiy A. V., Shiryaev A. N., Theory of random processes, M.: Fizmatlit, 2005 (in Russian), 408 pp.Suche in Google Scholar

[5] Wang Y. H., "On the number of successes in independent trials", Statist. Sinica, 3:2 (1993), 295–312.Suche in Google Scholar

[6] Chanda K. C., "Chi-square goodness-of-fit tests based on dependent observations", Statistical Distributions in Scientific Work, NATO Adv. Study Inst. Ser., 79, Springer, Dordrecht, 35–49.10.1007/978-94-009-8552-0_3Suche in Google Scholar

[7] Selivanov B. I., "Limit distributions of the χ2statistic of K. Pearson in a sequence of independent trials", Math. Notes, 83:6 (2008), 821–832.10.1134/S0001434608050271Suche in Google Scholar

[8] van der Vaart A. W., Asymptotic statistics, Cambridge Univ. Press, 2000, 445 pp.Suche in Google Scholar

[9] Solomon H., Stephens M. A., "Distribution of a sum of weighted chi-square variables", J. Amer. Statist. Assoc., 72:360 (1977), 881–885.10.1080/01621459.1977.10479976Suche in Google Scholar

[10] Jensen D. R., Solomon H., "A Gaussian approximation to the distribution of a definite quadratic form", J. Amer. Statist. Assoc., 67:340 (1972), 898–902.10.1080/01621459.1972.10481313Suche in Google Scholar