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A chi-square goodness-of-fit test for exponential distributions of the first order

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Stability Problems for Stochastic Models

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References

  1. Bol'shev L.N. Cluster analysis.-Bull.Int.Stat.Inst., 1969, 43, 411–425.

    MathSciNet  MATH  Google Scholar 

  2. Bol'shev L.N., Mirvaliev M. Chi-square goodness-of.fit test for the Poisson, binomial and negative binomial distributions.-Teor Veroyatn. Primen. 1978, 23, 461–474.

    MathSciNet  MATH  Google Scholar 

  3. Chernoff H., Lehmann L. The use of maximum likelihood estimates in tests for goodness of fit.-Ann.Math.Stat., 1954, 25, 579–586.

    Article  MathSciNet  MATH  Google Scholar 

  4. Chibisov D.M. Certain chi-square type tests for continuous distributions.-Teor.Veroyatn.Primen., 1971, 16, 3–20.

    MATH  Google Scholar 

  5. Drost F.G. Asymptotics for generalized chi-square goodness-of-fit test.-Vrije Univ., de Boelelaan, Amsterdam, 1987.

    MATH  Google Scholar 

  6. Dzhaparidze K.O., Nikulin M.S. Probability distributions of the Kolmogorov and omega-square statistics for continuous distributions with shift and scale parameters.-Zap.Nauchn.Semin.Leningr.Otd.Mat. Inst. Steklova, 1978, 85, 46–74.

    MathSciNet  MATH  Google Scholar 

  7. Greenwood P.E., Nikulin M.S. Some remarks on the application of chisquare type tests.-Zap.Nauchn.Semin.Leningr.Otd.Mat.Inst.Steklova, 1987, 153, 49–71.

    MATH  Google Scholar 

  8. Gupta R.C. Minimum variance unbased estimation in a modified power series distribution and some of its applications.-Commun.Statist. Theor.Meth., 1977, 6, 977–991.

    Article  MATH  Google Scholar 

  9. Joshi S.W., Park C.J. Minimum variance unbased estimation for truncated power series distribution.-Sankhyá: 1974, A36, 305–314.

    MathSciNet  MATH  Google Scholar 

  10. Kallenberg W.C.M., Oosterhoff J., Schriever B.F. The number of classes in chi-squared goodness-of-fit tests.-JASA, 1985, 80, 959–968.

    Article  MathSciNet  MATH  Google Scholar 

  11. Karakostas R.X. On minimum variance unbased estimators.-Am.Stat. 1985, 39, 303–305.

    MathSciNet  Google Scholar 

  12. McCulloch C.E. Relationsships among some chi-square goodness-of-fit statistics.-Commun.Stat. Theor.Meth., 1985, 14,593–603.

    Article  MathSciNet  MATH  Google Scholar 

  13. Moore D. A chi-square statistic with random cell boundaries.-Ann. Math.Stat., 1971, 42, 147–156.

    Article  MathSciNet  MATH  Google Scholar 

  14. Nikulin M.S. Chi-square test for continuous distributions with shift and scale parameters.-Teor.Veroyatn.Primen., 1973, 18, 559–568.

    MathSciNet  MATH  Google Scholar 

  15. Nikulin M.S. On the chi-square test for continuous distributions.-Teor.Veroyatn.Primen., 1973, 18, 675–679.

    MathSciNet  Google Scholar 

  16. Noack A. A class of random variables with discrete distributions.-Ann.Math.Stat., 1950, 21, 127–132.

    Article  MathSciNet  MATH  Google Scholar 

  17. Oosterhoff J. The choice of cells in chi-square tests.-Statist. Neerl., 1985, 39, 115–128.

    Article  MathSciNet  MATH  Google Scholar 

  18. Park C.J. The distribution of requency of the geometrical distribution.-Sankhyá: 1973, A35, 106–111.

    Google Scholar 

  19. Patil G.P. Minimum variance unbased estimation and certain problems of additive number theory.-Ann.Math.Stat., 1963, 34, 1050–1056.

    Article  MATH  Google Scholar 

  20. Pollard D. General chi-square goodness-of-fit tests with data-dependent cells.-Z.Wahrscheinlichkeitstheor. Verw.Geb., 1979, 50, 317–331.

    Article  MathSciNet  MATH  Google Scholar 

  21. Rao K., Robson D.S. A chi-squared statistic for goodness-of-fit tests within the exponential family.-Commun.Stat., 1973, 3, 1139–1153.

    MathSciNet  MATH  Google Scholar 

  22. Watson G.S. On chi-square goodness-of-fit tests for continuous distributions.-J.R.Stat.Soc., 1958, B20, 44–61.

    MathSciNet  MATH  Google Scholar 

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Vladimir V. Kalashnikov Vladimir M. Zolotarev

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© 1989 Springer-Verlag

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Nikulin, M.S., Voinov, V.G. (1989). A chi-square goodness-of-fit test for exponential distributions of the first order. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084176

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  • DOI: https://doi.org/10.1007/BFb0084176

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