Convergence properties of the q-deformed binomial distribution

By Martin Zeiner. 2010

57 citations recorded by the source corpus.

We consider the q-deformed binomial distribution introduced by S.C. Jing 1994: The q-deformed binomial distribution and its asymptotic behaviour, J. Phys. A 27 (2) (1994), 493{499 and W.S. Chung et al.: q-deformed probability and binomial distribution, Internat. J. Theoret. Phys. 34 (11) (1995), 2165{2170 and establish several convergence results involving the Euler and the exponential distribution; some of them are q-analogues of classical results.

Subfields: Applied Mathematics, Modeling and Simulation, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/38cf127db6cc8bc107c55d6ae40ec01991a7df2c

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In Applied Mathematics

In Modeling and Simulation

In Statistics and Probability

Citations in the corpus

Prevalence of symptoms of depression, anxiety, insomnia, posttraumatic stress disorder, and psychological distress among populations affected by the COVID-19 pandemic: A systematic review and meta-analysis (2020, methodology): “The binomial-normal model was indicated as it gives unbiased estimates and a good coverage of confidence intervals for meta-analyses with proportions (Hamza et al., 2008; Stijnen et al., 2010).”
EASL Clinical Practice Guidelines: Drug-induced liver injury. (2019, background): “1/1,000, about 3,000 exposed individuals would be needed to have a 95% probability of observing at least 1 Hy’s law case in the treated population.(369) Thus, even given increasingly large trials in drug development programmes, there is a genuine risk that the first signal for a new drug’s potential”