Statistical Analysis on Binary Images
نویسنده
چکیده
1 Sum of Bernoulli Distributions Here are some basic statistical concepts needed to perform statistical analysis on binary images. Given a sample space S, a random variable X is a rule that assigns a number to each element of S. X is a function that maps element s ∈ S to a real number, i.e. X : S → R. Bernoulli random variable X takes values only 0 or 1. The probability distribution P of a random variable X is a function defined for every number x such that P (X = x) = P (s ∈ S : X(s) = x). The cumulative distribution function (cdf) of X is is defined as F (x) = P (X ≤ x) = ∑
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