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Probability Distributions

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Abstract

As we stated in Chap. 2, a population is defined as the entire collection of measurements about which we want to make a statement, such as all possible measurements of dissolved oxygen in a specific section of a stream within a certain time period. Probability distributions are idealized mathematical models that are used to model the variability inherent in a population. Certain probability distributions come up again and again in environmental statistics. This chapter discusses the functions available in EnvStats for plotting probability distributions, computing quantities associated with these distributions, and generating random numbers from these distributions. See Millard et al. (2014) for a more in-depth discussion of probability distributions.

Keywords

  • Probability Distribution
  • Random Number
  • Probability Density Function
  • Cumulative Distribution Function
  • Lognormal Distribution

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • Millard, S.P., P. Dixon, and N.K. Neerchal. (2014). Environmental Statistics with R. CRC Press, Boca Raton, Florida.

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  • Singh, A., A.K. Singh, and R.J. Iaci. (2002). Estimation of the Exposure Point Concentration Term Using a Gamma Distribution. EPA/600/R-02/084. October 2002. Technology Support Center for Monitoring and Site Characterization, Office of Research and Development, Office of Solid Waste and Emergency Response, U.S. Environmental Protection Agency, Washington, D.C.

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  • Singh, A., R. Maichle, and N. Armbya. (2010a). ProUCL Version 4.1.00 User Guide (Draft). EPA/600/R-07/041, May 2010. Office of Research and Development, U.S. Environmental Protection Agency, Washington, D.C.

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Author information

Authors and Affiliations

  1. Probability, Statistics and Information, Seattle, Washington, USA

    Steven P. Millard

Authors
  1. Steven P. Millard
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© 2013 Springer Science+Business Media New York

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Millard, S.P. (2013). Probability Distributions. In: EnvStats. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8456-1_4

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