Abstract
A Bernoulli process deals with individual occurrences or trials. On each trial one and only one of two possible events can occur. The essential characteristic of a Bernoulli process is that the probability of each of the two mutually exclusive and exhaustive outcomes, say A and — A (not A), is constant from trial to trial. In particular, these probabilities, p and 1 — p, do not depend on how many trials have taken place, the outcomes of other trials, or the order in which the events occurred. The outcome of any trial is independent of the outcome of any other trial and depends solely on the probability p that characterizes the process.
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© 1985 American Meteorological Society
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Epstein, E.S. (1985). Bernoulli Processes. In: Statistical Inference and Prediction in Climatology: A Bayesian Approach. Meteorological Monographs, vol 20. American Meteorological Society, Boston, MA. https://doi.org/10.1007/978-1-935704-27-0_3
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DOI: https://doi.org/10.1007/978-1-935704-27-0_3
Publisher Name: American Meteorological Society, Boston, MA
Online ISBN: 978-1-935704-27-0
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