Before revision:  For positive c we define two related quantities - upward truncated variation UTV^c_{\mu[a,b]=\sup_n a \leq t_1 < s_1 < ...
After revision:  Truncated variation differs from regular variation by neglecting jumps smaller than some fixed c > 0. We prove that truncated variation is a random variable with finite moment-generating function for any complex argument. We also define two closely related quantities - upward truncated variation UTV^c_{\mu[a,b]=\sup_n a \leq t_1 < s_1 < ...