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A CUSUM test for discrete monitoring of intensity of a Poisson processEger, Karl-Heinz 13 June 2010 (has links)
This paper deals with CUSUM tests for monitoring
of intensity parameter of a Poisson process if this
process can be observed in a restricted manner only at pregiven
equidistant time points. In this case the process can
be monitored by means of a CUSUM test for the parameter
of a corresponding Poisson distribution.
For rational reference parameter values the computation
of average run length is reduced to that of solving of a
system of simultaneous linear equations. The performance
of obtained CUSUM tests is discussed by means of corresponding
examples.
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Robustness of Sequential Probability Ratio Tests in Case of Nuisance ParametersEger, Karl-Heinz, Tsoy, Evgeni Borisovich 27 June 2010 (has links)
This paper deals with the computation of OC- and ASN-function of sequential probability ratio tests in the multi-parameter case. In generalization of the method of conjugated parameter pairs Wald-like approximations are presented for the OC- and ASN-function. These characteristics can be used describing robustness properties of a sequential test in case of nuisance parameters.
As examples tests are considered for the mean and the variance of a normal distribution.
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