Models of Statistic Distributions of Nonparametric Goodness-of-Fit Tests in Composite Hypotheses Testing for Double Exponential Law Cases

2011 ◽  
Vol 40 (16) ◽  
pp. 2879-2892 ◽  
Author(s):  
B. Yu. Lemeshko ◽  
S. B. Lemeshko
Keyword(s):  
Goodness Of Fit ◽  
Hypotheses Testing ◽  
Exponential Law ◽  
Goodness Of Fit Tests ◽  
Double Exponential ◽  
Composite Hypotheses

scholarly journals Data driven efficient score tests for Poissonity

2019 ◽  
Vol 39 (1) ◽  
pp. 115-126
Author(s):  
Tadeusz Inglot
Keyword(s):  
Poisson Distribution ◽  
Simulation Study ◽  
Goodness Of Fit ◽  
Data Driven ◽  
General Construction ◽  
Efficient Score ◽  
Score Tests ◽  
Goodness Of Fit Tests ◽  
Composite Hypotheses

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.

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