Statistics with Maxima

Edwin (Ted) Woollett


Edwin (Ted) Woollett Maxima by Example Economic Analysis with Maxima Computational Physics with Maxima or R

Statistics with Maxima, Ch. 1, The Discrete Geometric (p) Distribution

Updated April 1, 2024

Chapter 1 Topics

  1. Discrete Distributions Defined
  2. What Is a Discrete Random Variable?
  3. Mean and Variance of a Discrete Data Set
  4. The Discrete Geometric (p) Distribution
  5. pdf_geometric (k, p)
  6. cdf_geometric (k, p)
  7. geomCalc (k, p)
  8. mean_geometric (k, p)
  9. var_geometric (k, p)
  10. std_geometric (k, p)
  11. quantile_geometric (q, p)
  12. random_geometric (p), random_geometric (p, n)
  13. discrete_freq (data)
  14. Real Life Examples of Use of the Geometric Distribution
  1. --Stat01-Geometric.wxmx : A wxMaxima notebook on the Discrete Geometric (p) Distribution, April 1, 2024
  2. --Stat01-Geometric.pdf : An approximate pdf translation of Stat01-Geometric-fit.wxmx, an edited version created to allow
    "print to pdf" in Windows 10 to capture all the content; not perfect but is searchable using Ctrl-F,
    27 pages, April 1, 2024

Statistics with Maxima, Ch. 2, The Discrete Binomial (n, p) Distribution

Updated April 10, 2024

Chapter 2 Topics

  1. Discrete Distributions Defined
  2. What Is a Discrete Random Variable?
  3. Mean and Variance of a Discrete Data Set
  4. The Discrete Binomial (n, p) Distribution
  5. pdf_binomial(x, n, p)
  6. mean_binomial (n, p)
  7. var_binomial (n, p)
  8. std_binomial (n, p)
  9. cdf_binomial (x, n, p)
  10. quantile_binomial (q, n, p)
  11. binomialCalc (x, n, p)
  12. confidence (q, m, s)
  13. Real Life Examples of Use of the Binomial Distribution
  14. Number of Missiles to Launch for Even Chance of Penetration of Defenses
  15. random_binomial (n, p), random_binomial (n, p, m)
  16. discrete_freq (data)
  1. --Stat02-Binomial.wxmx : A wxMaxima notebook on the Discrete Binomial(n, p) Distribution, April 10, 2024
  2. --Stat02-Binomial.pdf : An approximate pdf translation of Stat02-Binomial-fit.wxmx, an edited version created to allow "print to pdf" in Windows 10 to capture all the content; not perfect but is searchable using Ctrl-F, 44 pages, April 10, 2024

Statistics with Maxima, Ch. 3, The Discrete Poisson (λ) Distribution

Updated April 19, 2024

Chapter 3 Topics

  1. Discrete Distributions Defined
  2. What Is a Discrete Random Variable?
  3. Mean and Variance of a Discrete Data Set
  4. The Discrete Poisson (λ) Distribution
  5. pdf_poisson (n, λ), mean_poisson (λ)
  6. std_poisson(λ), cdf_poisson (n, λ)
  7. quantile_poisson (q, λ)
  8. poissonCalc (n, λ)
  9. random_poisson (λ), random_poisson (λ, n)
  10. discrete_freq (data)
  11. Real Life Examples of Use of the Poisson Distribution
  1. --Stat03-Poisson.wxmx : A wxMaxima notebook on the Discrete Poisson (λ) Distribution, April 19, 2024
  2. --Stat03-Poisson.pdf : An approximate pdf translation of Stat03-Poisson-fit.wxmx, an edited version created to allow "print to pdf" in Windows 10 to capture all the content; not perfect but is searchable using Ctrl-F, 32 pages, April 19, 2024
Statistics with Maxima, Ch. 4, The Normal (Gaussian) Distribution

Chapter 4 Topics

  1. The Normal (Gaussian) Distribution
  2. The 68%, 95%, 99.7% Rule
  3. mean (data), std (data), fracData (data, a, b)
  4. pdf_normal (x, μ, σ ), cdf_normal (x1, μ, σ )
  5. quantile_normal (q, μ, σ), confidence (q, m, s)
  6. mean_normal (m,s), var_normal (m,s), std_normal (m,s)
  7. random_normal (m, s), random_normal (m, s, n)
  8. Real Life Examples of the Normal Distribution
  9. Statistical Significance of a Certain σ in Physics
  1. --Stat04-Normal.wxmx : A wxMaxima notebook on the Normal (μ, σ) Distribution, April 25, 2024
  2. --Stat04-Normal.pdf : An approximate pdf translation of Stat04-Normal-fit.wxmx, an edited version created to allow "print to pdf" in Windows 10 to capture all the content; not perfect but is searchable using Ctrl-F, 30 pages, April 25, 2024
  3. --Stat04-Normal.html : A conversion of Stat04-Normal.pdf to html, May 1, 2024