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Need some help ...

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I'm working on a model, for a 2-state random variable over discrete-time domain,


and I need to know what are the well-known probability models,


I know Bayesian Model, and Markov Models .. what other models are there ?

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I used Bernoulli Distribution, and since Bernoulli model model doesn't seem to work with transition and order in the trial,


I've worked out some new model based on Bernoulli Process, Similar to Markov Model ..


Because Bernoulli, and its variations, can only tell me informations such as Probability of getting m success out of n, and such


But, I'm more interested in knowing, what is the probability that in the next Trial Xi will be a success ...

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