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CUSUM tests based on grouped observationsEger, Karl-Heinz, Tsoy, Evgeni Borisovich 08 November 2009 (has links) (PDF)
This paper deals with CUSUM tests based on
grouped or classified observations. The computation of average
run length is reduced to that of solving of a system of simultaneous
linear equations. Moreover a corresponding approximation
based on the Wald approximations for characteristics of sequential
likelihood ratio tests is presented.
The effect of grouping is investigated with a CUSUM test
for the mean of a normal distribution based on F-optimal
grouping schemes. The considered example demonstrates that
hight efficient CUSUM tests can be obtained for F-optimal
grouping schemes already with a small number of groups.
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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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CUSUM tests based on grouped observationsEger, Karl-Heinz, Tsoy, Evgeni Borisovich 08 November 2009 (has links)
This paper deals with CUSUM tests based on
grouped or classified observations. The computation of average
run length is reduced to that of solving of a system of simultaneous
linear equations. Moreover a corresponding approximation
based on the Wald approximations for characteristics of sequential
likelihood ratio tests is presented.
The effect of grouping is investigated with a CUSUM test
for the mean of a normal distribution based on F-optimal
grouping schemes. The considered example demonstrates that
hight efficient CUSUM tests can be obtained for F-optimal
grouping schemes already with a small number of groups.
|
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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