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Biometrika 1977 64(1):170-171; doi:10.1093/biomet/64.1.170
© 1977 by Biometrika Trust
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Miscellanea

Runs of occupied cells

DAVID STRAUSS

Department of Statistics, University of California Riverside

If balls are dropped randomly and independently into a number of cells arranged on a line, or on a circle, the occupied cells will form into unconnected runs. The number r of runs could be used as a test statistic for aggragation. In this note the distribution of r is derived and its asymptotic normality established.

Key Words: Combinatorial probability • Occupancy • Runs


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