Description Usage Arguments Value References See Also Examples

This function approximates the expected correlation between a continuous mixture variables *M1* and another random
variable *Y* based on the mixing proportions, component means, and component standard deviations of *M1* and correlations
between components of *M1* and *Y*. The equations can be found in the **Expected Cumulants and Correlations for
Continuous Mixture Variables** vignette. This function can be used to see what combination of correlations between components
of *M1* and *Y* gives a desired correlation between *M1* and *Y*.

1 |

`mix_pis` |
a vector of mixing probabilities that sum to 1 for component distributions of |

`mix_mus` |
a vector of means for component distributions of |

`mix_sigmas` |
a vector of standard deviations for component distributions of |

`p_M1Y` |
a vector of correlations between the components of |

the expected correlation between M1 and Y

Please see references for `rho_M1M2`

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