## Download PDF by Voloshynovskiy, Herrigel, Baumgaertner, Pun: A Stochastic Approach to Content Adaptive Digital Image

By Voloshynovskiy, Herrigel, Baumgaertner, Pun

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**Extra resources for A Stochastic Approach to Content Adaptive Digital Image Watermarking**

**Example text**

People often answer that it is more probable that two blue balls are taken out because the number of blue balls in the box is three times greater than the number of red ones. However, the probability of taking out two blue balls is equal to the probability of taking out a blue and a red ball. You can see this by considering Fig. 7. Clearly there are three ways in which two blue balls may be chosen and three ways of choosing a blue and a red ball at the same time. Therefore, the outcomes are equally probable.

We cannot, even hypothetically, devise a set of uniform trials that might yield the event as one outcome. il has his or her own individual abilities and 48 Part One. Tamed Chance for each particular purpose, e. , not to be late for school, to solve a problem correctly and quickly, or to reach the cinema. A doctor wants to find an efficient method of treating his patient. A factory manager is responsible for the fulfilment of a production plan. The most efficient option is the one that suits its purpose best.

X .... o I fere ~px is the probability that a random variable will take a value between x and x + ~x. The probability p that a random variable will have a value between Xl and X2 is, in terms of probability density, as follows: X2 I' = Jf(x) dx. 15) will evaluate to unity (this is the probability of a certain event). In the example with a roulette mentioned above, the whole interval is from x = 0 to x = 21tR. In general, we assume the interval is infinite, when J f(x)dx=t. 16) The integral is very simple in the roulette example because the probability the roulette arrow stops within an interval from x to x + L\x titles not depend on x.

### A Stochastic Approach to Content Adaptive Digital Image Watermarking by Voloshynovskiy, Herrigel, Baumgaertner, Pun

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