Exponential Distribution Equation Formula Latex Code and Summary

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Exponential Distribution

Tags: #Math #Statistics

Equation

$$f(x, \lambda)=\lambda e^{-\lambda x} \\ F(x, \lambda)=1 - e^{-\lambda x}$$

Latex Code

                                 f(x, \lambda)=\lambda e^{-\lambda x} \\
F(x, \lambda)=1 - e^{-\lambda x}

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Introduction

Equation

$X \sim \mathcal{N}(\mu,\sigma^2) \\ f(x)=\frac{1}{\sigma\sqrt{2\pi}}\exp{[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]}$

Latex Code

            f(x, \lambda)=\lambda e^{-\lambda x} \\
            F(x, \lambda)=1 - e^{-\lambda x}

Explanation

$\lambda=\frac{1}{\mu}$ : The rate parameter
$e$ : Constant Exponential Parameter
$f(x, \lambda)=\lambda e^{-\lambda x}$ : PDF of Exponential Distribution
$F(x, \lambda)=1 - e^{-\lambda x}$ : CDF of Exponential Distribution

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