Models of Technologies by Mikhail V. Belov & Dmitry A. Novikov
Author:Mikhail V. Belov & Dmitry A. Novikov
Language: eng
Format: epub
ISBN: 9783030310844
Publisher: Springer International Publishing
For , the value has the compact approximation
and
(2.8)
Note that expression (2.8) coincides with the approximate solution of the equation (see (2.2)), for which
Next, calculate the expected time of reaching the “absolute” learning level Lt = 1.
Assume several states of the environment have been tested by some time; let I ≤ K states with the probabilities {pi; i = } be still unknown. Clearly, .
Denote by T({pi; i = }) the expected time of testing the residual I states, i.e., the expected time of reaching the learning level Lt = 1. Using mathematical induction, prove the formula
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