The term "'equivariant estimator "'is used in formal mathematical contexts that include a precise description of the relation of the way the estimator changes in response to changes to the dataset and parameterisation : this corresponds to the use of " equivariance " in more general mathematics.
12.
Both the derivation given on mathworld and the above extract from my problem discuss \ phi as an angle but then my problem proceeds to use some \ phi, which appears to me to be indistinguishable from the angle \ phi, as a parameterisation of the curve whereas mathworld uses t.
13.
If you have a closed curve C in the complex plane with a known parameterisation \ gamma ( t ) = x ( t ) + iy ( t ) and you also have a known complex valued polynomial function h ( z ), is a parameterisation for h ( C ) given by h ( \ gamma )?
14.
If you have a closed curve C in the complex plane with a known parameterisation \ gamma ( t ) = x ( t ) + iy ( t ) and you also have a known complex valued polynomial function h ( z ), is a parameterisation for h ( C ) given by h ( \ gamma )?
15.
If " X " is defined to be the random variable which is the minimum of " N " independent realisations from an exponential distribution with rate paramerter " & beta; ", and if " N " is a realisation from a logarithmic distribution ( where the parameter " p " in the usual parameterisation is replaced by ), then " X " has the exponential-logarithmic distribution in the parameterisation used above.
16.
If " X " is defined to be the random variable which is the minimum of " N " independent realisations from an exponential distribution with rate paramerter " & beta; ", and if " N " is a realisation from a logarithmic distribution ( where the parameter " p " in the usual parameterisation is replaced by ), then " X " has the exponential-logarithmic distribution in the parameterisation used above.
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