## Abstract

We give an alternative proof of a useful formula for calculating the probability density function of the product of n uniform, independently and identically distributed random variables. Ishihara (2002) proves the result by induction; here we use Fourier analysis and contour integral methods which provide a more intuitive explanation of how the convolution theorem acts in this case.

Translated title of the contribution | Product of n independent uniform random variables |
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Original language | English |

Pages (from-to) | 2501 - 2503 |

Number of pages | 3 |

Journal | Statistics and Probability Letters |

Volume | 79, issue 24 |

DOIs | |

Publication status | Published - Dec 2008 |