A Unified Treatment of Integer Parameter Models

作者: Bruce G. Lindsay , Kathryn Roeder

DOI: 10.1080/01621459.1987.10478496

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摘要: Abstract It is shown that there an analog to the score function (the derivative of log-likelihood with respect parameter), here called difference score, which plays important theoretical role in integer parameter models. A unified treatment models can be obtained by recognizing many commonly used have a linear (LDS). established exact results available for exponential family also hold LDS In particular we find information lower bound, show uniqueness maximum likelihood estimator, establish monotone ratio, and optimality properties two-sided tests. if one has multiparameter conditional depending on N alone, then these apply as well. when why usual methodology will class nonstandard natural approxima...

参考文章(17)
Lalitha Sanathanan, Estimating the Size of a Truncated Sample Journal of the American Statistical Association. ,vol. 72, pp. 669- 672 ,(1977) , 10.1080/01621459.1977.10480634
J. F. McDonald, M. A. Selby, C. S. Wong, I. D. Favro, P. K. Kuo, Tests, Point Estimations, and Confidence Sets for a Capture-Recapture Model Journal of the American Statistical Association. ,vol. 78, pp. 913- 919 ,(1983) , 10.1080/01621459.1983.10477040
George Casella, Stabilizing Binomial n Estimators Journal of the American Statistical Association. ,vol. 81, pp. 172- 175 ,(1986) , 10.1080/01621459.1986.10478255
Ram C. Dahiya, An Improved Method of Estimating an Integer-Parameter by Maximum Likelihood The American Statistician. ,vol. 35, pp. 34- 37 ,(1981) , 10.1080/00031305.1981.10479298
Douglas G. Chapman, INVERSE, MULTIPLE AND SEQUENTIAL SAMPLE CENSUSES Biometrics. ,vol. 8, pp. 286- ,(1952) , 10.21236/AD0005527
R Viveros, D.A. Sprott, Scnditignal inference and maximum likelihood in a capture-recapture model Communications in Statistics-theory and Methods. ,vol. 15, pp. 1035- 1046 ,(1986) , 10.1080/03610928608829167
P. A. P. MORAN, A MATHEMATICAL THEORY OF ANIMAL TRAPPING Biometrika. ,vol. 38, pp. 307- 311 ,(1951) , 10.1093/BIOMET/38.3-4.307
Bruce G. Lindsay, Errors in Inspection: Integer Parameter Maximum Likelihood in a Finite Population Journal of the American Statistical Association. ,vol. 80, pp. 879- 885 ,(1985) , 10.1080/01621459.1985.10478197
Erich Leo Lehmann, Testing statistical hypotheses ,(1959)
Saul Blumenthal, Ram C. Dahiya, Alan J. Gross, Estimating the Complete Sample Size from an Incomplete Poisson Sample Journal of the American Statistical Association. ,vol. 73, pp. 182- 187 ,(1978) , 10.1080/01621459.1978.10480024