### Abstract

We consider a rectangular grid induced by the south-west records from the planar Poisson point
process in $R^2_+$.
A random symmetry property of the matrix whose entries are the areas of tiles of the grid implies cute multivariate distributional identities for certain rational functions of independent exponential and uniform random variables.

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Eurandom |

Number of pages | 4 |

Publication status | Published - 2012 |

### Publication series

Name | Report Eurandom |
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Volume | 2012021 |

ISSN (Print) | 1389-2355 |

## Fingerprint Dive into the research topics of 'Exponential-uniform identities related to records'. Together they form a unique fingerprint.

## Cite this

Gnedin, A. V., & Marynych, A. (2012).

*Exponential-uniform identities related to records*. (Report Eurandom; Vol. 2012021). Eurandom.