{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Distributions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"Probability distributions reflect the probabilities of occurence for the possible outcomes of a function / data source. \n",
"
\n",
"\n",
"\n",
"Probability distributions on \n",
"
wikipedia .\n",
"If you want a more general refresher on probability / distributions, check out this\n",
"
article .\n",
"
\n",
"A uniform distribution is a distribution in which each possible value is equally probable. \n",
"
\n",
"\n",
"\n",
"Uniform distribution on\n",
"
wikipedia .\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(data);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Normal Distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"The Normal (also Gaussian, or 'Bell Curve') distribution, is a distribution defined by it's mean and standard deviation.\n",
"
\n",
"\n",
"\n",
"Normal distribution on \n",
"
wikipedia .\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(data, bins=20);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Bernouilli Distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"The Bernouilli Distribution is a binary distribution - it takes only two values (0 or 1), with some probably 'p'. \n",
"
\n",
"\n",
"\n",
"Bernouilli distribution on wikipedia\n",
"
wikipedia .\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(data);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Gamma Distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"The Gamma Distribution is continuous probably distribution defined by two parameters.\n",
"
\n",
"\n",
"\n",
"Gamma distribution on\n",
"
wikipedia .\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(data, 50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Beta Distribution "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"The Beta Distribution is a distribution defined on the interval [0, 1], defined by two shape parameters. \n",
"
\n",
"\n",
"\n",
"Beta distribution on \n",
"
wikipedia .\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(data, 50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Poisson Distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"The Poisson Distribution that models events in fixed intervals of time, given a known average rate (and independent occurences).\n",
"
\n",
"\n",
"\n",
"Poisson distribution on\n",
"
wikipedia .\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(data);"
]
}
],
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"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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