MATHEMATICAL PRELIMINARIES FOR LOSSLESS COMPRESSION MODELS
Self-Information
Suppose we have an element A which is set of outcomes of
some random experiments.
If P(A) is the probability that the event is occurred then the self-information associated with the event A then event A can be represented as:
Here, b=unit of Information
So, b= bits or binary (b=2)
Here, we take calculation of Fair and Unfair Coin
Fair Coin:
Unfair Coin:
If we toss the coin 8 time. If we get
only 1 time head then other 7 time we get tail.
We take the probability of Head:
We take the probability of Tail:
SORT TRICK:
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