File:Standard symmetric pdfs logscale.png
From Infogalactic: the planetary knowledge core
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Summary
Logscale plot of several symmetric unimodal probability densities with unit variance. From highest to lowest peak:
red, kurtosis 3, <a href="https://en.wikipedia.org/wiki/Laplace_distribution" class="extiw" title="w:Laplace distribution">Laplace (D)ouble exponential distribution</a>;
orange, kurtosis 2, <a href="https://en.wikipedia.org/wiki/hyperbolic_secant_distribution" class="extiw" title="w:hyperbolic secant distribution">hyperbolic (S)ecant distribution</a>;
green, kurtosis 1.2, <a href="https://en.wikipedia.org/wiki/logistic_distribution" class="extiw" title="w:logistic distribution">(L)ogistic distribution</a>;
black, kurtosis 0, <a href="https://en.wikipedia.org/wiki/normal_distribution" class="extiw" title="w:normal distribution">(N)ormal distribution</a>;
cyan, kurtosis −0.593762…, <a href="https://en.wikipedia.org/wiki/raised_cosine_distribution" class="extiw" title="w:raised cosine distribution">raised (C)osine distribution</a>;
blue, kurtosis −1, <a href="https://en.wikipedia.org/wiki/Wigner_semicircle_distribution" class="extiw" title="w:Wigner semicircle distribution">(W)igner semicircle distribution</a>;
magenta, kurtosis −1.2, <a href="https://en.wikipedia.org/wiki/uniform_distribution_(continuous)" class="extiw" title="w:uniform distribution (continuous)">(U)niform distribution</a>.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 06:53, 12 January 2017 | | 2,100 × 1,500 (350 KB) | 127.0.0.1 (talk) | Logscale plot of several symmetric unimodal probability densities with unit variance. From highest to lowest peak: <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: red;"> </span></span> red, kurtosis 3, <a href="https://en.wikipedia.org/wiki/Laplace_distribution" class="extiw" title="w:Laplace distribution">Laplace (D)ouble exponential distribution</a>;</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: orange;"> </span></span> orange, kurtosis 2, <a href="https://en.wikipedia.org/wiki/hyperbolic_secant_distribution" class="extiw" title="w:hyperbolic secant distribution">hyperbolic (S)ecant distribution</a>;</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: green;"> </span></span> green, kurtosis 1.2, <a href="https://en.wikipedia.org/wiki/logistic_distribution" class="extiw" title="w:logistic distribution">(L)ogistic distribution</a>;</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: black;"> </span></span> black, kurtosis 0, <a href="https://en.wikipedia.org/wiki/normal_distribution" class="extiw" title="w:normal distribution">(N)ormal distribution</a>;</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: cyan;"> </span></span> cyan, kurtosis −0.593762…, <a href="https://en.wikipedia.org/wiki/raised_cosine_distribution" class="extiw" title="w:raised cosine distribution">raised (C)osine distribution</a>;</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: blue;"> </span></span> blue, kurtosis −1, <a href="https://en.wikipedia.org/wiki/Wigner_semicircle_distribution" class="extiw" title="w:Wigner semicircle distribution">(W)igner semicircle distribution</a>;</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: magenta;"> </span></span> magenta, kurtosis −1.2, <a href="https://en.wikipedia.org/wiki/uniform_distribution_(continuous)" class="extiw" title="w:uniform distribution (continuous)">(U)niform distribution</a>.</div> |
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