Consider thefamilyofParetodistributionswithdensities with respecttostandardLebesguemeasureon R, where > 0 is unknown.Rep- resent thisfamilyasaregularexponentialfamilyofdimension1andidentifybase measure, canonicalparameter,canonicalstatistic,andcumulantfunction (x) (1)

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Consider thefamilyofParetodistributionswithdensities

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with respecttostandardLebesguemeasureon R, where α > 0 is unknown.Rep-
resent thisfamilyasaregularexponentialfamilyofdimension1andidentifybase measure, canonicalparameter,canonicalstatistic,andcumulantfunction

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