Exploring Beta-Like Distributions
Abstract
The most well known probability distribution of probabilities is the Beta distribution. If we have observed r `successes', each having a probability θ, and n-r `failures', each having a probability 1-θ. In this paper we will derive a whole family of Beta-like distributions, which take as their data not only the number of successes and failures, but also values on predictor variables and time to failure or time without failure.
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