{
"$schema": "https://vega.github.io/schema/vega-lite/v5.json",
"description": "Lognormal Distribution PDF for different parameters",
"data": {
"sequence": {
"start": 0,
"stop": 5,
"step": 0.01,
"as": "x"
}
},
"transform": [
{
"calculate": "1 / (datum.x * 0.5 * sqrt(2 * PI)) * exp(-pow(log(datum.x) - 0, 2) / (2 * pow(0.5, 2)))",
"as": "y1"
},
{
"calculate": "1 / (datum.x * 1 * sqrt(2 * PI)) * exp(-pow(log(datum.x) - 0, 2) / (2 * pow(1, 2)))",
"as": "y2"
},
{
"calculate": "1 / (datum.x * 0.5 * sqrt(2 * PI)) * exp(-pow(log(datum.x) - 0.5, 2) / (2 * pow(0.5, 2)))",
"as": "y3"
}
],
"hconcat": [
{
"width": 250,
"height": 200,
"title": "μ = 0, σ = 0.5",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "x"
},
"y": {
"field": "y1",
"type": "quantitative",
"title": "Density"
},
"color": {
"value": "#004976"
}
}
},
{
"width": 250,
"height": 200,
"title": "μ = 0, σ = 1",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "x"
},
"y": {
"field": "y2",
"type": "quantitative",
"title": "Density"
},
"color": {
"value": "#7A0045"
}
}
},
{
"width": 250,
"height": 200,
"title": "μ = 0.5, σ = 0.5",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "x"
},
"y": {
"field": "y3",
"type": "quantitative",
"title": "Density"
},
"color": {
"value": "#486300"
}
}
}
]
}