Transition Probabilities

Some articles on transition, transition probabilities, probabilities:

Moran Process - Neutral Drift
... Since the number of A individuals can change at most by one at each time step, a transition exists only between state i and state i − 1, i and i + 1 ... Thus the transition matrix of the stochastic process is tri-diagonal in shape and the transition probabilities are The entry denotes the probability to go from state i to state j ... To understand the formulas for the transition probabilities one has to look at the definition of the process which states that always one individual will be ...
Moran Process - Selection
... The transition matrix of the stochastic process is tri-diagonal in shape and the transition probabilities are The entry denotes the probability to go from state i to state j ... To understand the formulas for the transition probabilities one has to look again at the definition of the process and see that the fitness enters ... Also in this case, fixation probabilities when starting in state i is defined by recurrence And the closed form is given by where per definition and will just be for the general ...

Famous quotes containing the word transition:

    There is not any present moment that is unconnected with some future one. The life of every man is a continued chain of incidents, each link of which hangs upon the former. The transition from cause to effect, from event to event, is often carried on by secret steps, which our foresight cannot divine, and our sagacity is unable to trace. Evil may at some future period bring forth good; and good may bring forth evil, both equally unexpected.
    Joseph Addison (1672–1719)