Laplace Distribution

• PDF
• $f(x\mid \mu ,b)=\frac{1}{2b}\exp \left(-\frac{|x-\mu |}{b}\right)$
• where $\mu$ is a location parameter, and $b>0$ which is sometimes referred to as the “diversity”, is a scale param If μ=0 and b=1 the positive half-line is exactly an Exponential Distribution scaled by 1/2
• Kinda like Normal Distribution but normal distribution is expressed in terms of the squared difference from the mean μ, the Laplace density is expressed in terms of the absolute difference from the mean