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Sequential probability ratio tests based on grouped observationsEger, Karl-Heinz, Tsoy, Evgeni Borisovich 26 June 2010 (has links) (PDF)
This paper deals with sequential likelihood ratio
tests based on grouped observations.
It is demonstrated that the method of conjugated
parameter pairs known from the non-grouped case
can be extended to the grouped case obtaining
Waldlike approximations for the OC- and ASN-
function.
For near hypotheses so-called F-optimal
groupings are recommended.
As example an SPRT
based on grouped observations for the parameter
of an exponentially distributed random variable is
considered.
|
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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) (PDF)
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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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.
|
4 |
Sequential probability ratio tests based on grouped observationsEger, Karl-Heinz, Tsoy, Evgeni Borisovich 26 June 2010 (has links)
This paper deals with sequential likelihood ratio
tests based on grouped observations.
It is demonstrated that the method of conjugated
parameter pairs known from the non-grouped case
can be extended to the grouped case obtaining
Waldlike approximations for the OC- and ASN-
function.
For near hypotheses so-called F-optimal
groupings are recommended.
As example an SPRT
based on grouped observations for the parameter
of an exponentially distributed random variable is
considered.
|
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