Binomial Distributions Are Bernstein Vectors
Binomial Distributions Are Bernstein Vectors
This Demonstration illustrates the intrinsic connection between binomial distributions and Bernstein polynomials. The Bernstein polynomial of degree and index , (p), is equal to the probability of observing hits in identical draws with probability of a hit on each draw.
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You can set the degree or the index to be between 0 and .
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You can view graphs of Bernstein polynomials for various indices as slices across the hits axis or binomial distributions for various probability values as slices across the probability axis.
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Coarsening the probability grid gives shorter response times. In addition, you can overlay the respective continuous distributions.