Mixture of Gaussians2011

Mixture of Gaussians2011 - 2/24/2011 Nonlinear models...

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2/24/2011 1 MIXTURE OF GAUSSIANS Nonlinear models SOME SIMPLE PROBABILITY AND STATISTICS ´ 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? ´ p=Prob(a girl is chosen) = g/(b+g) ´ 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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2/24/2011 2 ´ Statistics uses frequencies to estimate the probability. ´ Histogram is a useful tool to estimate the probability (of all possible outcomes) ´ If a probability (of a continuous variable) has a density, this density is called the PDF (probability density function). ´ An example of a continuous random variable is “the height” of a randomly chosen student in the classroom. MORE ON STATISTICS ´ A majority of time in a statistics course is used for students to learn various PDFs ´ Gaussian distribution (normal distribution, bell-
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Mixture of Gaussians2011 - 2/24/2011 Nonlinear models...

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