On error probabilities calculation for the truncated sequential probability ratio test

Alexey Y. Kharin, Ton That Tu
2018 Journal of the Belarusian State University. Mathematics and Informatics  
The truncated sequential probability ratio test of two simple hypotheses is considered for the model of independent non-identically distributed observations. The lower and upper bounds are given for the probability that the necessary number of observations to stop the test does not exceed a preassigned number. New inequalities for the error probabilities of type I and II are obtained to generalize the classic results. New approximations for the error probabilities of type I and II are
more » ... nd II are constructed. The results are applied for the model of time series with trend. In addition, properties of a sequential test based on the least squares method parameter estimate at the moment of truncation are analyzed for the model of time series with trend. Computer experiment results are given.
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