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IDKΒΆ

Last Updated: 10 months ago2024-05-14 ; Contributors: AhmedThahir

Deriving the coefficients as a distribution

Limitation: only works for a single parameter $$ n_\text{eff} = \dfrac{n(n-1)}{2} $$

Linear FitΒΆ

y=mx+cβ€…β€ŠβŸΉβ€…β€Šm=yiβˆ’yjxiβˆ’xj∼pdf(m) \begin{aligned} y &= mx + c \\ \implies m &= \dfrac{y_i-y_j}{x_i - x_j} \sim \text{pdf}(m) \end{aligned}

Exponential CurveΒΆ

ct=c0ektk=βˆ’ln⁑∣ci/cj∣iβˆ’j∼pdf(k) \begin{aligned} c_t &= c_0 e^{kt} \\ k &= \dfrac{-\ln \vert c_i / c_j \vert}{i-j} \sim \text{pdf}(k) \end{aligned}

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