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Prove or disprove that the following families of distributions are exponential families. The U ( 0 , ) family p ( x , ) =
Prove or disprove that the following families of distributions are exponential families.
- TheU(0,)family
- p(x,)={exp[2log+log(2x)]}1[x(0,)]
- p(x,)=91,x{0.1+,,0.9+}
- TheN(,2)family,>0
- p(x,)=2(x+)/(1+2),0<x<1,>0
- p(x,)is the conditional frequency function of a binomial,B(n,),variableX, given thatX>0.
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