Goodness of fit for the Poisson distribution

Statistics and Probability Letters

Volumn 44, Issue 3, 1999, Pages 259-265

  Best, D J ^a   Rayner, J C W ^b  

^a CSIRO   (Australia)

^b UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Diagnostic test; Dispersion test; Empirical distribution function; Partition of X2

Indexed keywords

EID: 0039294112     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(99)00017-6     Document Type: Article

References (21)

1. Best, D.J., 1978. A simple algorithm for the computer generation of random samples from a Student's t or symmetric beta distribution. Compstat 78 - Proceedings in Computational Statistics. Physica-Verlag, Vienna.
2. Campbell D.B., Oprian C.A. On the Kolmogorov-Smirnov test for the Poisson distribution with unknown mean. Biometrical J. 21:1979;17-24.
3. 2 tests for goodness of fit Ann. Math. Statist. 25:1954;579-586.
4. Cheng R.C.H. Generating beta variates with non integral shape parameters. Comm. ACM. 21:1978;317-322.
5. 2 tests Biometrics. 10:1954;417-451.
6. Dagpanur, J., 1988. Principles of Random Variate Generation. Oxford University Press, Oxford.
7. Devroye, L., 1986. Non-Uniform Random Variate Generation. Springer, New York.
8. Evans, M., Hastings, N., Peacock, B., 1993. Statistical Distributions. Wiley, New York.
9. Gibra, I.N., 1973. Probability and Statistical Inference for Scientists and Engineers. Prentice-Hall, Englewood Cliffs, NJ.
10. Greenwood, P.E., Nikulin, M.S., 1996. A Guide to Chi-Squared Testing. Wiley, New York.
11. Henze N. Empirical-distribution-function goodness-of-fit tests for discrete models. Canad. J. Statist. 24:1996;81-93.
12. Henze N., Klar B. Properly rescaled components of smooth tests of fit are diagnostic. Austral. J. Statist. 38:1996;61-74.
13. Jarvis, B., 1989. Statistical Aspects of the Microbiological Analysis of Foods. Elsevier, Amsterdam.
14. John, P.W.M., 1990. Statistical Methods in Engineering and Quality Assurance. Wiley, New York.
15. Johnson, N.L., Kotz, S., Kemp, A.W., 1992. Univariate Discrete Distributions. Wiley, New York.
16. Lancaster, H.O., 1969. The Chi-Squared Distribution. Wiley, New York.
17. Mead, R., Curnow, R.N., Hasted, A.M., 1993. Statistical Methods in Agriculture and Experimental Biology. Chapman & Hall, London.
18. Potthoff R.F., Whittinghill M. Testing for homogeneity II. The Poisson distribution. Biometrika. 53:1966;183-190.
19. Rayner, J.C.W., Best, D.J., 1989. Smooth Tests of Goodness of Fit. Oxford University Press, New York.
20. Snedecor, G.W., Cochran, W.G., 1989. Statistical Methods. 8th Edition. Iowa State University Press, Ames.
21. Spinelli J.J., Stephens M.A. Cramer-Von Mises tests of fit for the Poisson distribution. Canad. J. Statist. 25:1997;257-268.