Let X and Y be independentandexponentiallydistributedrandom variableswith E(X) = and E(Y ) =2, where >

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Let X and Y be independentandexponentiallydistributedrandom variableswith E(X) = μ and E(Y ) =2μ, where μ > 0. Representthefam-

ily ofjointdistributionsof (X,Y ) as aone-dimensionalregularexponentialfamily, identify thebasemeasure,thecanonicalparameter,canonicalstatistic,andcumulant function.

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