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The tails of prehistory probability density in nonlinear multistablestochastic systems driven by white Gaussian noise, which has been a subject ofrecent study, are analyzed by employing the concepts of nonstationary optimalfluctuations.  Results of numerical simulations evidence that the prehistory probabilitydensity is non-Gaussian and highly asymmetrical that is an essential feature ofnoise driven fluctuations in nonlinear systems. We show also that in systemswith the detail balance the prehistory probability density is the conventionaltransition probability that obeys the backward Kolmogorov equation.

Nonstationary optimal paths and tails of prehistory probability density in multistablestochastic systems