Table 1 Statistical Definitions of Assignable Causes in Time Series,,,,
,,Value of Yt,,
Assignable cause,Statistical definition,t < T,t = T,t > T
Additive outlier (AO),"Xt = 1, when t = T; ",µ,µ + I,µ
,"Xt = 0, otherwise",,,
Temporary change (TC),"Xt = dt–T , when t ? T;",µ,µ + I,µ + Idt–T
,"Xt = 0, t < T",,,
Level shift (LS),"Xt = 1, when t ? T;",µ,µ + I,µ + I
,"Xt = 0, t < T",,,