General Properties of Distributions

In this part of the website, we review some important general properties of probability distribution functions. These concepts will be used throughout the website for some specific distributions.

Topics

The above topics don’t require calculus. Click here for advanced topics, requiring calculus, about probability distributions.

References

Penn State (2021) Introduction to probability theory
https://online.stat.psu.edu/stat414

Howell, D. C. (2010) Statistical methods for psychology (7th ed.). Wadsworth, Cengage Learning.
https://labs.la.utexas.edu/gilden/files/2016/05/Statistics-Text.pdf

Hoel, P. (1962) Introduction to mathematical statistics, 3rd Ed. John Wiley and Sons

2 thoughts on “General Properties of Distributions”

  1. Hello, what do you recommend as a “normality test” indicated on the heterogeneous frequencies of tens already drawn in a number x of the megasena lottery or another lottery of 60 tens, to from that point on to create a minimally reliable expectation from the point of purely scientific view, which manages the next six dozen for a mega sena bet on a future draw. We thank you in advance for your attention. Anchieta Martins

    Previous results of megasena draws:
    https://loterias.caixa.gov.br/Paginas/Mega-Sena.aspx

    Reply
    • Hello Anchieta,
      I don’t know what you mean by “heterogeneous frequencies of tens”. In any case, generally I would use the Shapiro-Wilk test, but with data in the form of a frequency table, the Kolmogorov-Smirnov test is probably a good choice.
      Charles

      Reply

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