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  2. Skewness - Wikipedia

    en.wikipedia.org/wiki/Skewness

    The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the tail is on the left side of the distribution, and positive skew indicates that the tail is on the right. In cases where one tail is long but the other tail is fat, skewness ...

  3. Probability distribution fitting - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution...

    Example. The F-expression of the positively skewed Gumbel distribution is: F=exp[-exp{-(X-u)/0.78s}], where u is the mode (i.e. the value occurring most frequently) and s is the standard deviation. The Gumbel distribution can be transformed using F'=1-exp[-exp{-(x-u)/0.78s}] . This transformation yields the inverse, mirrored, or complementary ...

  4. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The log-normal distribution, describing variables which can be modelled as the product of many small independent positive variables. The Lomax distribution; The Mittag-Leffler distribution; The Nakagami distribution; The Pareto distribution, or "power law" distribution, used in the analysis of financial data and critical behavior.

  5. Shape of a probability distribution - Wikipedia

    en.wikipedia.org/wiki/Shape_of_a_probability...

    Considerations of the shape of a distribution arise in statistical data analysis, where simple quantitative descriptive statistics and plotting techniques such as histograms can lead on to the selection of a particular family of distributions for modelling purposes. The normal distribution, often called the "bell curve" Exponential distribution

  6. File:Negative and positive skew diagrams (English).svg

    en.wikipedia.org/wiki/File:Negative_and_positive...

    You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.

  7. Normal probability plot - Wikipedia

    en.wikipedia.org/wiki/Normal_probability_plot

    Histogram of a sample from a right-skewed distribution – it looks unimodal and skewed right. This is a sample of size 50 from a uniform distribution, plotted as both a histogram, and a normal probability plot.

  8. Histogram - Wikipedia

    en.wikipedia.org/wiki/Histogram

    This histogram shows the number of cases per unit interval as the height of each block, so that the area of each block is equal to the number of people in the survey who fall into its category. The area under the curve represents the total number of cases (124 million). This type of histogram shows absolute numbers, with Q in thousands.

  9. Unimodality - Wikipedia

    en.wikipedia.org/wiki/Unimodality

    Rohatgi and Szekely claimed that the skewness and kurtosis of a unimodal distribution are related by the inequality: [13] = where κ is the kurtosis and γ is the skewness. Klaassen, Mokveld, and van Es showed that this only applies in certain settings, such as the set of unimodal distributions where the mode and mean coincide.