- K-component Mixture Model:
Random variables distributed according to a mixture of K components with each component belonging to the same parametric family of distributions (e.g., all normal, all Zipfian, etc.) but with different parameters. wiki page
- Two terms Gaussian model fit:
f(s)=a_{1}\exp\left[-\frac{(s-b_{1})^2}{\sigma^2_{1}}\right]+a_{2}\exp\left[-\frac{(s-b_{2})^2}{\sigma^2_{2}}\right]
Two types/modes of turbulence.
- density PDF in Isothermal Gas:
p_{v}(s)=\frac{1}{\sqrt{2\pi\sigma^{2}_{s,v}}}\exp\left[-\frac{(s-s_{0})^2}{2\sigma^2_{s,v}} \right]
where s=\ln(\rho/\rho_{0})
- Log(Density) Vs Temperature Scatter plot