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  Far East Journal of Theoretical Statistics  
 ISSN: 0972-0863
 
 
 

     Far East Journal of Theoretical Statistics
    Volume 26, Issue 1, Pages 59 - 72 (September 2008)


ON THE POWERS OF SOME NEW CHI-SQUARE TYPE STATISTICS

Clement Ampadu (U. S. A.)

Received March 5, 2008

References:



[1] T. W. Anderson and D. A. Darling, Asymptotic theory of certain “goodness of fit” criteria based on stochastic processes, Ann. Math. Statist. 23 (1952), 193-212.

[2] H. Cramer, On the composition of elementary errors, Skand. Aktuarietidskrift 11 (1928), 13-74, 141-180.

[3] A. N. Kolmogorov, Sulla determinazione empirica di una legge di distribuzione, Giornale dell’ Istituto degli Attuari 4 (1933), 83-91.

[4] S. Kullback, Information Theory and Statistics, John Wiley, New York, 1959.

[5] J. Neyman, Contribution to the theory of the distribution, Proc. First Berkeley Symposium on Math. Statist. Probab., 1949, pp. 239-273.

[6] K. Pearson, On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling, Philosophical Magazine 5 (1900), 157-175.

[7] N. V. Smirnov, Estimate of deviation between empirical distributions, Bull. Moscow Univ. 2 (1939), 3-16 (in Russian).

[8] M. Steele and J. Chaseling, Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions, Comm. Statist. 35 (2006), 1067-1075.

[9] S. S. Wilks, The likelihood test of independence in contingency tables, Ann. Math. Statist. 6 (1935), 190-196.

Keywords and phrases: alternative distribution, multinomial distribution, null distribution, power, goodness-of-fit, chi-square type statistics.

 


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