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Plot of a BivariateBeta(alpha_X, beta_X, alpha_Y, beta_Y) distribution (assumes X and Y are independent events)
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| <!DOCTYPE html> | |
| <html lang="en"> | |
| <head> | |
| <meta charset="utf-8"> | |
| <meta name="viewport" content="width=device-width"> | |
| <title>Plot</title> | |
| </head> | |
| <body> | |
| <div id="plot"></div> | |
| <script src="https://unpkg.com/@stdlib/stdlib@0.0.32/dist/stdlib-flat.min.js"></script> | |
| <script src="https://cdn.plot.ly/plotly-latest.min.js"></script> | |
| <script src="plot.js"></script> | |
| </body> | |
| </html> |
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| const xStart = 0; | |
| const xEnd = 1; | |
| const xValues = 80; | |
| const yStart = 0; | |
| const yEnd = 1; | |
| const yValues = 80; | |
| const xDelta = (xEnd - xStart) / xValues; | |
| const yDelta = (yEnd - yStart) / yValues; | |
| const beta = (x, a, b) => stdlib.base.dists.beta.pdf(x, a, b); | |
| function f(x, y) { | |
| return beta(x, 2, 10) * beta(y, 6, 10); | |
| } | |
| const xData = []; | |
| const yData = []; | |
| const zData = []; | |
| function loadData() { | |
| for (let yIndex = 0; yIndex < yValues; yIndex++) { | |
| const y = yStart + yDelta * yIndex; | |
| zData[yIndex] = []; | |
| yData[yIndex] = y; | |
| for (let xIndex = 0; xIndex < xValues; xIndex++) { | |
| const x = xStart + xDelta * xIndex; | |
| zData[yIndex][xIndex] = f(x, y); | |
| } | |
| } | |
| // Don't repeatedly compute x values for every y | |
| for (let xIndex = 0; xIndex < xValues; xIndex++) { | |
| const x = xStart + xDelta * xIndex; | |
| xData[xIndex] = x; | |
| } | |
| } | |
| loadData(); | |
| const data = [ | |
| { | |
| x: xData, | |
| y: yData, | |
| z: zData, | |
| type: 'surface' | |
| } | |
| ]; | |
| const layout = { | |
| autosize: false, | |
| width: 800, | |
| height: 800, | |
| margin: { | |
| l: 65, | |
| r: 50, | |
| b: 65, | |
| top: 90 | |
| }, | |
| scene: { | |
| xaxis: { | |
| rangemode: 'tozero', | |
| range: [xStart, xEnd] | |
| }, | |
| yaxis: { | |
| rangemode: 'tozero', | |
| range: [yStart, yEnd] | |
| }, | |
| camera: { | |
| eye: { | |
| x: -1.5, | |
| y: -1.5, | |
| } | |
| } | |
| } | |
| }; | |
| Plotly.newPlot('plot', data, layout); |
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BiBeta(9, 10, 6, 10)