Features Probability models are developed from the shape of the
sample empirical cumulative distribution function, (cdf) or a
transformation of it. Bounds for the value of the population
cumulative distribution function are obtained from the Beta
distribution at each point of the empirical cdf. Bayes's theorem is
developed from the properties of the screening test for a rare
condition. The multinomial distribution provides an always-true
model for any randomly sampled data. The model-free bootstrap
method for finding the precision of a sample estimate has a
model-based parallel - the Bayesian bootstrap - based on the
always-true multinomial distribution. The Bayesian posterior
distributions of model parameters can be obtained from the maximum
likelihood analysis of the model.
General
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