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Models with Touchard Distribution
Ibukun, Michael Abimbola ; Karpíšek, Zdeněk (oponent) ; Hübnerová, Zuzana (vedoucí práce)
In 2018, Raul Matsushita, Donald Pianto, Bernardo B. De Andrade, Andre Cançado & Sergio Da Silva published a paper titled ”Touchard distribution”, which presented a model that is a two-parameter extension of the Poisson distribution. This model has its normalizing constant related to the Touchard polynomials, hence the name of this model. This diploma thesis is concerned with the properties of the Touchard distribution for which delta is known. Two asymptotic tests based on two different statistics were carried out for comparison in a Touchard model with two independent samples, supported by simulations in R.
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Models with Touchard Distribution
Ibukun, Michael Abimbola ; Karpíšek, Zdeněk (oponent) ; Hübnerová, Zuzana (vedoucí práce)
In 2018, Raul Matsushita, Donald Pianto, Bernardo B. De Andrade, Andre Cançado & Sergio Da Silva published a paper titled ”Touchard distribution”, which presented a model that is a two-parameter extension of the Poisson distribution. This model has its normalizing constant related to the Touchard polynomials, hence the name of this model. This diploma thesis is concerned with the properties of the Touchard distribution for which delta is known. Two asymptotic tests based on two different statistics were carried out for comparison in a Touchard model with two independent samples, supported by simulations in R.
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Model pro rozdíl dvou Poissonových veličin
Volf, Petr
Při používání Poissonova rozdělení pravděpodobnosti často narážíme na problém jeho malé flexibility. Shrneme postupy, jak vhodně tuto distribuci modifikovat. Další možnost nabízejí situace, kdy analyzujeme rozdíl dvou Poissonovských veličin. Pro tento případ bylo odvozeno Skellamovo rozdělení. Ukážeme metodu statistické analýzy v tomto případě. Model zahrnuje latentní proměnné, proto je k analýze použito procedur MCMC (Markov Chain Monte Carlo).
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