{
"$schema": "https://vega.github.io/schema/vega-lite/v5.json",
"description": "Comparison of Normal, Student-t, Lognormal, and Gumbel Distributions",
"width": 350,
"height": 250,
"data": {
"sequence": {
"start": -5,
"stop": 5,
"step": 0.01,
"as": "x"
}
},
"transform": [
{
"calculate": "exp(-pow(datum.x, 2) / 2) / sqrt(2 * PI)",
"as": "Normal"
},
{
"calculate": "densityStudentT(datum.x, 3)",
"as": "Student-t"
},
{
"calculate": "datum.x > 0 ? densityLogNormal(datum.x, 0, 0.5) : 0",
"as": "Lognormal"
},
{
"calculate": "exp(-datum.x - exp(-datum.x))",
"as": "EVT (Gumbel)"
}
],
"layer": [
{
"transform": [
{
"fold": [
"Normal",
"Student-t",
"EVT (Gumbel)"
]
}
],
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "Value"
},
"y": {
"field": "value",
"type": "quantitative",
"title": "Density"
},
"color": {
"field": "key",
"type": "nominal",
"title": "Distribution"
}
}
}
]
}