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From |
Romain Espinosa <romain.espinosa2@gmail.com> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
st: pdf of sum of ratios of normal distributions |

Date |
Tue, 3 Apr 2012 19:22:45 +0200 |

Hi everyone, I have a question concerning the following model. I have J variables X_j that are normally distributed with mean Delta_j and standard error Sigma_j. I would like to compute the PDF of the following: sum_(j!=k) (X_k)/(X_j) which is equivalent to : X_k/X_1 + X_k/X_2 ... + X_k/X_(k-1) + X_k/X_(k+1)+ ... + X_k/X_J. I haven't found any user-written program so far (even for the ratio of two normal distributions). I would like to construct a program for the probability density function with parameters (Delta_j)_(j=1...J), (Sigma_j)_(j=1...J). I would use it afterwards to write a Maximum Likelihood Program. Thanks for your consideration. Romain. * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

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