A) Derive the moment generating function (m.g.f) of the triangular distri- bution Y with p.d.f 0e...
Wanting help with part (b)
a) Derive the moment generating function (m.g.f) of the triangular distri- bution Y with p.d.f 0elsewhere Hint: Use Integration by parts. (b) Determine the moments Y by expressing it as a Taylor series, i.e. identify the corresponding coefficients Note: Since EY-0, the kth moment is the kth central moment (c) Determine the m.gf. of U-μ + bY. [Note: μ 0 is an unspecified constant here, it is not the mean of Y which is zero.]
a) Derive the moment generating function (m.g.f) of the triangular distri- bution Y with p.d.f 0elsewhere Hint: Use Integration by parts. (b) Determine the moments Y by expressing it as a Taylor series, i.e. identify the corresponding coefficients Note: Since EY-0, the kth moment is the kth central moment (c) Determine the m.gf. of U-μ + bY. [Note: μ 0 is an unspecified constant here, it is not the mean of Y which is zero.]