I have a model free based method for scenario generation to be used in stochastic optimization problem. But the problem is after scenario generation I want to assign a probability fro each scenario How can I do this?
Please see the following papers for approaches to allocate differing probabilities to different scenarios:
R. Radhakrishnan, A. Yadav, P. Date and S. Bhaumik, A new method for generating sigma points and weights for nonlinear filtering, IEEE Control Systems Letters, vol. 2, pages 519-524, 2018.
Ksenia Ponomareva, Diana Roman and Paresh Date, An algorithm for moment-matching scenario generation with application to financial portfolio optimization, European Journal of Operational Research, vol. 240, pages 678-687, 2015 (doi: 10.1016/j.ejor.2014.07.049)
@ Paresh Date thanks for yr reply but i have generated scenarios from historical data using neural network then i dont have the probability distribution of them.
but I only have some scenarios with equal probability of occurrence how can I assign probability to each scenario or can I make scenario reduction then assign a probability to each new scenario?