Consider an urn containing a finite set of values. An item is selected at random from the urn. Then it is returned to the urn along with another item with the same value. Next a value is selected at random from the reconstituted urn and it and a copy our returned to the urn. This process is repeated until k additional items have been added to the original urn. The original composition of the urn along with the selected values, in order, are returned.

1 | ```
polyap(ysamp, k)
``` |

`ysamp` |
A vector of real numbers which make up the urn. |

`k` |
A positive integer which specifies the number of items added to the original composition of the urn. |

The returned value is a vector of length equal to the length of ysamp plus k

1 |

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