This function calculates the log likelihood that the ratio of variance and the expected value of the fitted distribution come from an F distribution with m and 2*a degrees of freedom. Where m is number of observations - 1, and a is the alpha parameter for the inverse gamma distribution.

1 | ```
flik(param, variance, m)
``` |

`param` |
A list containing the values for a and b. |

`variance` |
A vector of the observed variances |

`m` |
A vector of degrees of fredom for each observed variance (number of observations - 1) |

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