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Original Articles

A Note on Wald's Type Chi-squared Tests of Fit

Pages 4622-4630 | Received 17 Sep 2012, Accepted 11 Jan 2013, Published online: 11 Nov 2015

References

  • Aguirre, N., Nikulin, M.S. (1994). Chi-squared goodness-of-fit test for the family of logistic distributions. Kybernetika 30:214–222.
  • Balakrishnan, N. (1990). Approximate maximum likelihood estimation for a generalized logistic distribution. J. Statist. Plann. Infer. 26:221–236.
  • Dzhaparidze, K.O., Nikulin, M.S. (1974). On a modification of the standard statistic of Pearson. Theor. Probab. Applic. 19:851–853.
  • Hadi, A.S., Wells, M.T. (1990). A note on generalized Wald's method. Metrika 37:309–315.
  • Khatri, C.G. (1963). Further contributions of Wishartness and independence of second degree polynomials in normal vectors. J. Ind. Statist. Assoc. 2:60–70.
  • Khatri, C.G. (1968). Some results for the singular normal multivariate regression models. Sankhyā 30:267–280.
  • Mirvaliev, M. (2001). An investigation of generalized chi-squared type statistics. Doctoral Dissertation, Academy of Sciences of the Republic of Uzbekistan, Tashkent.
  • Moore, D.S. (1971). A chi-square statistic with random cell boundaries. Ann. Mathemat. Statist. 42:147–156.
  • Moore, D.S., Spruill, M.C. (1975). Unified large-sample theory of general chi-squared statistics for tests of fit. Ann. Statist. 3:599–616.
  • Moore, D.S. (1977). Generalized inverses, Wald's method, and the construction of chi- squared tests of fit. J. Ameri. Statist. Assoc. 72:131–137.
  • Moore, D.S., Stubblebine, J.B. (1981). Chi-square tests for multivariate normality with application to common stock prices. Commun. Statist. Theor. Meth. A10:713–738.
  • McCulloch, C.E. (1980). Symmetric matrix derivatives with applications. FSU Statistics Report M565, Department of Statistics, Florida State University, Tallahassee, FL.
  • Nikulin, M.S. (1973a). Chi-square test for continuous distributions with shift and scale parameters. Theor. Probab. Applic. 18:559–568.
  • Nikulin, M.S. (1973b). Chi-square test for continuous distributions. Theor. Probab. Applic. 18:638–639.
  • Press, S.J. (1972). Applied Multivariate Analysis. New York: Holt, Rinehart and Winston.
  • Rao, C.R. (1966). Generalized inverse for matrices and its applications in mathematical statistics. Festschrift volume for J. Neyman. In: David, F.N.Ed.,Research Papers in Statistics, New York:, Wiley.
  • Voinov, V., Pya, N. (2004). On the power of modified chi-squared goodness-of-fit tests for the family of logistic and normal distributions. Proc. 7th Iranian Statistical Conference, Allameh Tabatabaie University, pp.385–403.
  • Voinov, V., Pya, N., Alloyarova, R. (2009). A comparative study of some modified chi- squared tests. Commun. Statist. - Simul. Computat. 38:355–367.
  • Wald, A. (1943). Tests of statistical hypotheses concerning several parameters when the number of observations is large. Trans. Amer. Mathemat. Soc. 54:426–482.

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