  Superstatistics [C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)] is a
formalism aimed at describing statistical properties of a generic extensive
quantity E in complex out-of-equilibrium systems in terms of a superposition of
equilibrium canonical distributions weighted by a function P(beta) of the
intensive thermodynamic quantity beta conjugate to E. It is commonly assumed
that P(beta) is determined by the spatiotemporal dynamics of the system under
consideration. In this work we show by examples that, in some cases fulfilling
all the conditions for the superstatistics formalism to be applicable, P(beta)
is actually affected also by the way the measurement of E is performed, and
thus is not an intrinsic property of the system.
