Repeated likelihood ratio test for the variance of normal distribution with unknown mean
This paper considers the repeated likelihood ratio test for the variance of normal distribution with un-known mean. The large deviations for Type I, and Type II error probabilities have been developed.
KeywordsNormal Distribution Likelihood Ratio Likelihood Ratio Test Ratio Test Error Probability
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- Siegmund, D., Sequential Analysis, Springer-Verlag, New York, 1985.Google Scholar
- Lai, T. L. and Siegmund, D. A Nonlinear Renewal Theorem with Applications to Sequential Analysis I,Ann. Statist,5 (1977), 946–954.Google Scholar
- Woodroofe, M., Repeated Likelihood Ratio Test,Biomstriks,66 (1979), 453–463.Google Scholar
- Lalley, S. P., Limit Theorems for First-passage Times in Linear and Non-linear Renewel Theory,Adv. Appl. Prob.,16 (1984), 766–803.Google Scholar
- Hu, Inchi, Repeated Significance Tests for Exponential Families, A Doctoral Dissertation, Stanford University, 1985.Google Scholar
- Feller, W. An Introduction to Probability Theory and Its Applications, II, John Wiley & Sons, New York, 1971.Google Scholar