feat: normal distribution
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@@ -30,16 +30,17 @@ public class NormalDistribution {
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}
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public static BigDecimal nd(BigDecimal mu, BigDecimal sigma, BigDecimal x) {
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// \frac{1}{\sigma \times \sqrt{2\times \pi}}
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// p_a=\frac{1}{\sigma \times \sqrt{2\times \pi}}
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BigDecimal pa = BigDecimal.ONE.divide(
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sigma.multiply(MathUtil.sqrt(BigDecimal.valueOf(2).multiply(MathUtil.PI), 100))
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, 100, RoundingMode.HALF_UP
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);
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// \frac{(x-\mu)^2}{2\times \sigma^2}
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// p_b=\frac{(x-\mu)^2}{2\times \sigma^2}
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BigDecimal pb = x.subtract(mu).pow(2).divide(
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BigDecimal.valueOf(2).multiply(sigma.pow(2))
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, 100, RoundingMode.HALF_UP
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);
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// f(x)=p_a\times e^{-p_b}
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return pa.multiply(MathUtil.pow(MathUtil.E, BigDecimal.ZERO.subtract(pb)))
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.setScale(100, RoundingMode.HALF_UP);
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}
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