Aprobabilitydistributionhasa scaleparameter if, whenyoumultiply byaconstant c, all valuesinthedistributionmultiplyby c. Ithasa locationparameter if, whenyouincrease

Aprobabilitydistributionhasa scaleparameter θ if, whenyoumultiply θ byaconstant

c, all valuesinthedistributionmultiplyby

c. Ithasa locationparameter θ if, whenyouincrease θ

byaconstant

c, allvaluesinthedistributionincreaseby c.

(a) Forascaleparameter θ, thedistributionof Y ~θ doesnotdependon θ. Showthatforthe gamma distribution(2.10)with θ = 1~λ, Y ~θ has meanandvariancenotdependenton θ.

(b) Foralocationparameter θ, the pdf is afunctionof y − θ and thedistributionof Y − θ

doesnotdependon θ. Foranormaldistribution,showthat μ is alocationparameter.