Bayesian Estimation of the Distribution Function of the Poisson Model

Biometrical Journal

Volumn 45, Issue 7, 2003, Pages 901-912

  Howlader, Hatem A ^a   Balasooriya, Uditha ^b  

^a UNIVERSITY OF WINNIPEG   (Canada)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Incomplete gamma function; Loss function; Negative binomial expansion; Prior posterior distribution; Truncated distribution

Indexed keywords

BAYESIAN NETWORKS; LAPLACE TRANSFORMS; POISSON DISTRIBUTION;

BAYES ESTIMATOR; BINOMIAL EXPANSION; DISTRIBUTION-FUNCTIONS; INCOMPLETE GAMMA FUNCTIONS; LOSS FUNCTIONS; NEGATIVE BINOMIAL; NEGATIVE BINOMIAL EXPANSION; POSTERIOR DISTRIBUTIONS; PRIOR/POSTERIOR DISTRIBUTION; TRUNCATED DISTRIBUTIONS;

DISTRIBUTION FUNCTIONS;

EID: 0346958132     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.200390057     Document Type: Article

References (17)

1. ABRAMOWITZ, M. and STEGUN, I. A., 1972: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. National Bureau of Standards, Dover, New York.
2. CLARKE, G. M. and COOKE, D., 1978: A Basic Course in Statistics. Edward Arnold, London.
3. DAHIYA, R. C. and GROSS, A. J., 1973: Estimating the zero class from a truncated poisson sample. Journal of the American Statistical Association, 68, 731-733.
4. DOUGLAS, J. B., 1980: Analysis with Standard Contagious Distributions. Burtonsville, MD Wahington, DC: International Co-operative Publishing House.
5. ERDELYI, A., 1953: Higher transcendental functions, Vol. 2. McGraw Hill, New York.
6. GART, J. J., 1974: Exact moments of the variance test for left-truncated poisson distributions. Sankhya, B, 36, 406-416
7. GELMAN, A., CARLIN, J. B., STERN, H. S., and B., R. D. (1995). Bayesian Data Analysis. Chapman and Hall, London.
8. GOLDSTEIN. L., 1990: Poisson approximation and DNA sequence matching. Commun. Statist - Theory Meth., 19, 4167-4179.
9. HAIGHT, F. A., 1967: Handbook of the Poisson Distribution. John Wiley & Sons Inc., New York.
10. IRONY, T. Z., 1992: Bayesian estimation for discrete distributions. J. of Applied Statistics, 19 (4), 533-549
11. IRWIN, J. O., 1959: On the estimation of the mean of a poisson distribution from a sample with the zero class missing. Biometrics, 15, 324-326.
12. LEE, P. M., 1989: Bayesian Statistics: An Introduction. Edward Arnold, London.
13. POTTHOFF, R. F. and WHTTINGHILL, M., 1966: Testing for homogeneity ii. the poisson distribution. Biometrika, 53, 183-190.
14. SAHAI, H. and KHURSHID, A., 1993: Confidence intervals for the mean of a poisson distribution: A review. Biometrical Journal, 35 (7), 857-867.
15. SOKOL, R. R. and ROHLF, F. J., 1981: Biometry. W. H. Freeman & Company, New York. Second Edition.
16. TALLIS, G. M., 1983: Goodness of fit. In Kotz, S., Johnson, N. L., and Reed, C. B. (Eds.), Encyclopedia of Statistical Sciences, pp. 925-996. John Wiley & Sons Inc., New York.
17. WOOD, C. L. and ALTAVELA, M. M., 1978: Large sample results for kolmogorov-smimov statistics for discrete distributions. Biometrika, 65, 235-239.