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Asymptotic normality in vacancies on a line
Author(s) -
Runnenburg J. Th.
Publication year - 1982
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1982.tb00785.x
Subject(s) - normality , mathematics , line (geometry) , combinatorics , discrete mathematics , geometry , statistics
Covering a row of hooks by hats (one hat needs two adjacent hooks) by choosing for the next hat a pair of free hooks with equal probability from the free hooks, we encounter x n , the number of isolated hooks remaining uncovered. We prove that x n is asymptotically normal.