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研究生:鍾曉君
研究生(外文):Shaiu-gin zuo
論文名稱(外文):A Comparative Study on Interval Estimation of Bernoulli Parameter
指導教授:高正雄高正雄引用關係
學位類別:碩士
校院名稱:國立中正大學
系所名稱:統計科學所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2005
畢業學年度:93
語文別:英文
論文頁數:35
外文關鍵詞:interval estimation
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鍵入論文的中文摘要
In this study, we compare two approximate confidence interval estimators for the Bernoulli
parameter $p$. The approximate confidence intervals are based on the normal and Poisson approximations
to binomial. The related tables and figures which are given here are helpful to indicate which
approximation is more approriate. Besides, we also use the Greenwood's formula as a transformation to
compare its convergence to normality with that of arcsine transformation.
Chapter 1 Introduction
Chapter 2 Basic concepts and transformation
Chapter 3 Simulation and results
Chapter 4 Conclusions
1. Blyth, C. R. (1986),
``Approximate Binomial Confidence Limits,"
Journal of the American Statistical Association, Vol. 81, p.843-855.
2. Chen, H. (1990),
`` The Accuracy of Approximate Intervals for a Binomial Parameter,"
Journal of the American Statistical Association, Vol. 85, No. 410, p.514-518.
3. Kalbfleisch, J. D., and Prentice, R. L.(1980),
The Statistical Analysis of Failure Time Data,
John Wiley And Sons.
4. Lentner, C. (ed.)(1982), Giegy Scientific Tables(Vol. 2), Basel, Switzerland: Ciba-Geigy.
5. Lehmann, E. L., and Loh, W. Y. (1990) ,
`` Pointwise Versus Uniform Robustness of Some Large-Sample Tests and Confidence Intervals,"
Scandinavian Journal of Statistics, 17 , p.177-187.
6. Leemis, L. M., and Trivedi, K. S. (1996) ,
`` A Comparison of Approximate Interval Estimators for the Bernoulli,"
The American Statistician, Vol. 50, No. 1, p.63-68.
7. Larsen, R. J., and Marx, M. L. (1986),
An Introduction to Mathematical Statistics and Its Applications(2nd ed.),
Englewood Cliffs, NJ: Prentice Hall.
8. Trivedi, K. S. (1982), probability and Statistics with Reliability,
Queuing and Computer Science Applications, Englewood Cliffs, NJ: Prentice-Hall.
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