Previous
Ball Tree Example Ball Tree Example

Up
Textbook Figures Textbook Figures

This documentation is for astroML version 0.4

This page

Chapter 3: Probability and Statistical Distributions

Links

astroML Mailing List

GitHub Issue Tracker

Videos

Scipy 2012 (15 minute talk)

Scipy 2013 (20 minute talk)

Citing

If you use the software, please consider citing astroML.

Chapter 3: Probability and Statistical Distributions¶

This chapter discusses basic foundational principles, including probability and basic descriptive statistics. It also introduces several important probability distribution functions.

../../_images/fig_prob_sum_1_thumb.png

Sum of Probabilities¶

../../_images/fig_conditional_probability_1_thumb.png

fig_conditional_probability.py¶

../../_images/fig_contingency_table_1_thumb.png

A 2x2 Contingency Table¶

../../_images/fig_transform_distribution_1_thumb.png

Transformation of Distribution¶

../../_images/fig_flux_errors_1_thumb.png

../../_images/fig_kurtosis_skew_1_thumb.png

Kurtosis and Skew¶

../../_images/fig_uniform_distribution_1_thumb.png

Example of a uniform distribution¶

../../_images/fig_gaussian_distribution_1_thumb.png

Example of a Gaussian distribution¶

../../_images/fig_binomial_distribution_1_thumb.png

Example of a Binomial distribution¶

../../_images/fig_poisson_distribution_1_thumb.png

Example of a Poisson distribution¶

../../_images/fig_cauchy_distribution_1_thumb.png

Example of a Cauchy distribution¶

../../_images/fig_cauchy_median_mean_1_thumb.png

Median and Mean for Cauchy distribution¶

../../_images/fig_laplace_distribution_1_thumb.png

Example of a Laplace distribution¶

../../_images/fig_chi2_distribution_1_thumb.png

Example of a chi-squared distribution¶

../../_images/fig_student_t_distribution_1_thumb.png

Example of Student’s t distribution¶

../../_images/fig_fisher_f_distribution_1_thumb.png

Example of Fisher’s F distribution¶

../../_images/fig_beta_distribution_1_thumb.png

Example of a Beta distribution¶

../../_images/fig_gamma_distribution_1_thumb.png

Example of a Gamma distribution¶

../../_images/fig_weibull_distribution_1_thumb.png

Example of a Weibull distribution¶

../../_images/fig_central_limit_1_thumb.png

Example of central limit theorem¶

../../_images/fig_uniform_mean_1_thumb.png

Convergence of mean for uniformly distributed values¶

../../_images/fig_bivariate_gaussian_1_thumb.png

Bivariate Gaussian¶

../../_images/fig_robust_pca_1_thumb.png

Bivariate Gaussian: Robust Parameter Estimation¶

../../_images/fig_correlations_1_thumb.png

Correlation estimates¶

../../_images/fig_clone_distribution_1_thumb.png

Random Values from an Empirical Distribution¶