Statistics
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...209.5805p&link_type=abstract
2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #58.05; Bulletin of the American Astronomical Society, V
Statistics
Scientific paper
We have developed an advanced undergraduate laboratory exercise that measures arrival times between cosmic-ray detections in a scintillator array and uses a LabVIEW application to analyze the statistics in terms of single-interval times, multiple-interval times, and numbers of pulses arriving in fixed-length intervals. The exercise clearly shows the exponential form of the Poissonian interval distribution and the progression of the Poisson distribution towards a normal distribution both in terms of the distribution of events per fixed interval and intervals per number of events. We can also use the software to run simulations of arrival times for statistical distributions other than Poissonian and show that the development of the normal distribution that obtains for large measurement intervals is not special to Poissonian processes but occurs for many random distributions: a vivid demonstration of the central limit theorem.
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