In the article titled “Comparison of some tests of fit for the Inverse Gaussian distribution” [1], there were a number of typographical and other errors. Except for the minor typographical error in V0 below, all calculations reported appear to be correct.
In (2.1) + sign in the denominator should be omitted so that the denominator is 24(⋯)(⋯). Also a hat is missing on ϕ and the last ϕ^ should not be cubed. Thus(1)V^32=nϕ^6244+ϕ^120+75ϕ^+15ϕ^2+ϕ^3×Z^-34+ϕ^-Z^-260ϕ^+30+4ϕ^+120ϕ^3+195ϕ^2+123ϕ^+32+3ϕ^2.In (2.2) the first occurrence of 1+ should be 1–. Thus(2)V0=1n∑j,k=1nZjk-1-2∑j=1nZj-11-πϕ^2ZjerfceZj+1ϕ^2Zj+n1+2ϕ^4ϕ^.In (2.5) and (2.6) ns before e3 and e4 should both be deleted. Thus(3)π3z=z3-a3z2-b3z-c3√e3,π4z=z4+a4z3+b4z2+c4z+d4√e4.In the definition of e4 following (2.6) –253440 should be +253440.
In example (ii) the value of V0 should be 0.0033.
BestD. J.RaynerJ. C. W.ThasO.Comparison of some tests of fit for the inverse Gaussian distribution20122012915030310.1155/2012/150303MR2999466