Unit:
Κατεύθυνση Στατιστική και Επιχειρησιακή ΈρευναLibrary of the School of Science
Supervisors info:
Νικόλαος Παπαδάτος Αναπλ. Καθηγητής
Original Title:
Περί προσέγγισης της διωνυμικής κατανομής από την Poisson
Translated title:
On the approximation of Poisson and Binomial Distributions
Summary:
This thesis is mainly about the distance between Binomial and Poisson
distributions aiming at best possible approximation.For this purpose,we
introduce two distances:Total Variation Distance and Kolmogorov
Distance.Then,closed-forms are given.Finally,a new idea is presented,which
minimizes to a great extend the Total Variation Distance,as well as new
results.
Keywords:
Total Variation Distance, Kolmogorov Distance, Distance between binomial and Poisson, Poisson approximation, Sharp estimates
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