Modely s Touchardovým rozdělením
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B
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Vysoké učení technické v Brně. Fakulta strojního inženýrství
Abstract
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.
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.
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.
Description
Keywords
Touchard distribution, Count data, Overdispersion, Underdispersion, Zero-Inflated counts, Exponential Family of distribution, Generalized Linear Models., Touchard distribution, Count data, Overdispersion, Underdispersion, Zero-Inflated counts, Exponential Family of distribution, Generalized Linear Models.
Citation
IBUKUN, M. Modely s Touchardovým rozdělením [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2021.
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Document version
Date of access to the full text
Language of document
en
Study field
Matematické inženýrství
Comittee
prof. RNDr. Josef Šlapal, CSc. (předseda)
prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda)
doc. Ing. Luděk Nechvátal, Ph.D. (člen)
doc. Mgr. Zuzana Hübnerová, Ph.D. (člen)
prof. Mgr. Pavel Řehák, Ph.D. (člen)
Prof. Bruno Rubino (člen)
prof. Vladimir Protasov (člen)
prof. Matteo Colangeli (člen)
Date of acceptance
2021-06-24
Defence
The student introduced his diploma thesis to the committee members and explained the fundamentals of his topic called Models with Touchard Distribution.
The supervisor read the review and the opponent's review, too.
The student answered the opponent's questions well.
Result of defence
práce byla úspěšně obhájena
Document licence
Standardní licenční smlouva - přístup k plnému textu bez omezení