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dist.f(x, y) style of Distributions.jl
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| { | |
| "cells": [ | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "using Distributions, StatsPlots\n\nfunction Base.getproperty(d::Distribution, f::Symbol)\n f in fieldnames(typeof(d)) && return getfield(d, f)\n f_d = Symbol(f, \"_\", string(d))\n @eval function $f_d(x...; y...) $f($d, x...; y...) end\nend\n\nBase.propertynames(d::T) where T<: Distribution = [\n fieldnames(T)...;\n (m -> m.name).(methodswith(T; supertypes=true))\n] |> unique", | |
| "execution_count": 1, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "dist = Normal(1, 1)\n\nsample = dist.rand(10^4)\nx = range(dist.mean()-4dist.std(), dist.mean()+4dist.std(), length=400)\n\nhistogram(sample; norm=true, alpha=0.3, label=\"sample\", bin=100)\nplot!(x, dist.pdf.(x); label=\"pdf\", lw=2, ls=:dash)\nplot!(xlim=extrema(x))", | |
| "execution_count": 2, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "execution_count": 2, | |
| "data": { | |
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| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "dist = Gamma(10, 0.1)\n\nsample = dist.rand(10^4)\nx = range(0, 3.5, length=400)\n\nhistogram(sample; norm=true, alpha=0.3, label=\"sample\", bin=100)\nplot!(x, dist.pdf.(x); label=\"pdf\", lw=2, ls=:dash)\nplot!(xlim=extrema(x))", | |
| "execution_count": 3, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "execution_count": 3, | |
| "data": { | |
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| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "dist = InverseGamma(10, 10)\n\nsample = dist.rand(10^4)\nx = range(0, 3, length=400)\n\nhistogram(sample; norm=true, alpha=0.3, label=\"sample\", bin=100)\nplot!(x, dist.pdf.(x); label=\"pdf\", lw=2, ls=:dash)\nplot!(xlim=extrema(x))", | |
| "execution_count": 4, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "execution_count": 4, | |
| "data": { | |
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| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "@show dist1 = Normal()\n@show dist2 = Normal(0, 1+1e-3)\n\n@show dist1.isapprox(dist2)\n@show dist1.isapprox(dist2; rtol=1e-2)\n;", | |
| "execution_count": 5, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "text": "dist1 = Normal() = Normal{Float64}(μ=0.0, σ=1.0)\ndist2 = Normal(0, 1 + 0.001) = Normal{Float64}(μ=0.0, σ=1.001)\ndist1.isapprox(dist2) = false\ndist1.isapprox(dist2; rtol = 0.01) = true\n", | |
| "name": "stdout" | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "dump(dist1.isapprox)", | |
| "execution_count": 6, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "text": "isapprox_Normal{Float64}(μ=0.0, σ=1.0) (function of type typeof(var\"isapprox_Normal{Float64}(μ=0.0, σ=1.0)\"))\n", | |
| "name": "stdout" | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true | |
| }, | |
| "cell_type": "code", | |
| "source": "", | |
| "execution_count": null, | |
| "outputs": [] | |
| } | |
| ], | |
| "metadata": { | |
| "@webio": { | |
| "lastKernelId": null, | |
| "lastCommId": null | |
| }, | |
| "_draft": { | |
| "nbviewer_url": "https://gist.github.com/3d29d3111e012a7f845de3f0aed4cb51" | |
| }, | |
| "gist": { | |
| "id": "3d29d3111e012a7f845de3f0aed4cb51", | |
| "data": { | |
| "description": "dist.f(x, y) style of Distributions.jl", | |
| "public": true | |
| } | |
| }, | |
| "kernelspec": { | |
| "name": "julia-depwarn--o3-1.6", | |
| "display_name": "Julia depwarn -O3 1.6.0-DEV", | |
| "language": "julia" | |
| }, | |
| "language_info": { | |
| "file_extension": ".jl", | |
| "name": "julia", | |
| "mimetype": "application/julia", | |
| "version": "1.6.0" | |
| }, | |
| "toc": { | |
| "nav_menu": {}, | |
| "number_sections": true, | |
| "sideBar": true, | |
| "skip_h1_title": false, | |
| "base_numbering": 1, | |
| "title_cell": "Table of Contents", | |
| "title_sidebar": "Contents", | |
| "toc_cell": false, | |
| "toc_position": {}, | |
| "toc_section_display": true, | |
| "toc_window_display": false | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 4 | |
| } |
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