Likehood ratios and the strenght of statistical evidence

 
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2008 (EN)
Λόγοι πιθανοφάνειας και ισχύς των στατιστικών ενδείξεων
Likehood ratios and the strenght of statistical evidence

Ράπτης, Θωμάς Κωνσταντίνου

Στόχος της παρούσας εργασίας αποτέλεσε η μελέτη της θεωρίας της Πιθανοφάνειας και ειδικότερα των Λόγων Πιθανοφάνειας που χρησιμοποιούνται στη μέτρηση της ισχύος των ενδείξεων που προκύπτουν μετά από την παρατήρηση ορισμένων δεδομένων. Η σύγκριση της θεωρίας αυτής με αυτές της στατιστικής συχνοτήτων, συγκεκριμένα της θεωρίας αποφάσεων η οποία αναπτύχθηκε από τους Neyman & Pearson και των Ελέγχων σημαντικότητας των οποίων θεμελιωτής, ανάμεσα σε άλλους, ήταν ο Fisher, αλλά και της Στατιστικής Bayes ανέδειξε τα πλεονεκτήματα της υπό μελέτης θεωρίας στην ερμηνεία των δεδομένων.
Goal of this work was to illustrate the theory of Likelihood and particularly Likelihood Ratios which are used to measure the strength of evidence after the observation of an experiment. The investigation of the use of Likelihood in the interpretation of the data as evidence brought out the advantages of this theory in comparison with those of "frequentist" statistic, more specific with decision theory which was based on a paradigm of Neyman and Pearson and Significance tests one of the most important originator of which was Fisher and finally advantages compared with Bayes statistic.

info:eu-repo/semantics/masterThesis
Postgraduate Thesis / Μεταπτυχιακή Εργασία

Likehood ratios
Λόγοι πιθανοφάνειας
Strength of evidence
Ισχύς ενδείξεων

Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (EL)
Aristotle University of Thessaloniki (EN)

Greek
English

2008
2009-06-21T21:00:00Z


Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης, Σχολή Θετικών Επιστημών, Τμήμα Μαθηματικών

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info:eu-repo/semantics/openAccess



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