2/24/2011
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MIXTURE OF GAUSSIANS
Nonlinear models
SOME SIMPLE PROBABILITY AND STATISTICS
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Probability: In a classroom, there are b boys
and g girls, what is the probability in selecting a
girl if we random pick up a students from this
classroom?
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p=Prob(a girl is chosen) = g/(b+g)
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Statistics: When b and g are not given in above
but you have several outcomes of randomly
picking up a students from the same
classroom: B times a boy is chosen and G
times a girl is chosen. What is p?
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Statistics uses frequencies to estimate the
probability.
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Histogram is a useful tool to estimate the
probability (of all possible outcomes)
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If a probability (of a continuous variable) has a
density, this density is called the PDF
(probability density function).
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An example of a continuous random variable is
“the height” of a randomly chosen student in
the classroom.
MORE ON STATISTICS
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A majority of time in a statistics course is used
for students to learn various PDFs
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Gaussian distribution (normal distribution, bell
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 Spring '11
 Li
 Normal Distribution, Probability distribution, Probability theory, probability density function, MoG

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