scholarly journals Some goodness-of-fit tests for the Poisson distribution with applications in Biodosimetry

2020 ◽  
Vol 144 ◽  
pp. 106878
Author(s):  
Pedro Puig ◽  
Christian H. Weiß
2019 ◽  
Vol 39 (1) ◽  
pp. 115-126
Author(s):  
Tadeusz Inglot

New data driven score tests for testing goodness of fit of the Poisson distribution are proposed. They are direct applications of the general construction of data driven goodness-of-fit tests for composite hypotheses developed in Inglot et al. 1997. By a simulation study it is shown that these tests perform almost equally well as the best known solutions for standard alternatives and outperform them for more difficult alternatives.


2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Cate Wagner ◽  
Erica Barr ◽  
Joseph Spada ◽  
Cole Joslin ◽  
Paul M. Sommers

The National Hockey League is a professional ice hockey league in North America currently comprised of 31 teams.  Their seasons culminate with the Stanley Cup Playoffs.  The top sixteen teams (eight in each conference) qualify for the playoffs.  The conference champions face off in the final round, known as the Stanley Cup Finals.  The authors show that goals scored per game in the Stanley Cup Finals follow a Poisson distribution.  Using the results of all 438 Stanley Cup Final games played since 1939 (when the Finals became a best-of-seven series), chi-squared goodness-of-fit tests show that the observed distribution of goals scored per game by series winners, series losers, and game losers closely approximate a Poisson theoretical model.  The combined number of goals scored by both finalists and goals scored by game winners do not


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