stochastic independence


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stochastic independence

[stō¦kas·tik in·də′pen·dəns]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Their derivations generally assume monotonicity, continuity and asymptotical behavior of the item response function, plus general criteria or additional requirements like local stochastic independence, sufficiency of statistics, conditional inference or specific objectivity.
The concept of ensemble allows then to introduce interactions whereas the Boltzmann approach requires independency: only if local stochastic independence holds the probabilites (24), by introducing an additive structure of the Hamiltonian like in constraint (19), can be decomposed into a product of probabilities (21).

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