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statistikte Bayesyen ve Klasik Yakla m n Kavramsal Farkl l klar (Conceptual Distinctions of Bayesian and Classical Approaches in Statistics)

Keywords: Keywords: Bayesian Inference , Classical Statistical Inference , Precision , HPD Interval , Coherence , Subjective Bayesian Analysis , Objective Bayesian Analysis.

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Abstract:

Conceptual Distinctions of Bayesian and Classical Approaches in StatisticsFundamentals of the ResearchWhen the progressing process is taken to be account, it’s seen that the approaches on statistics have polarized between two pivots. Despite of the domination of Classical approach in statistics, Bayesian approach has also crucial arguments. It’s needed to clarify the descriptions of both aspects about statistical concepts by compiling them. Besides, using “prior information”, that is main difference from Classical one, created the discussion of objective and subjective Bayesian analysis. Thus, compilation of concepts and launching a current discussion are the main motivations that lead to this study.Purpose of the ResearchThe purpose of the study is to express the distinctions between Bayesian approach and Classical approach on the basis of statistical concepts.Data SourcesNo data is used at the study due to not to be intended to do an application.Main DiscussionIn the context of this stated purpose, at first, the dissimilarities that become clear in the description of uncertainty and probability are tried to be described. Again by regarding the distinctions of the approaches, Parameter, Point Estimation, Confidence Interval and Hypothesis Testing that are the main subjects of statistical inference are touched on. Since using the prior information, Bayesian approach produces different results from Classical one, so it has been criticized, claiming as to be subjective. Actually Bayesian approach also has been discussing the objectivity and subjectivity since it’s seen variety on the application Bayesian method. In the study, merely as an introduction, this discussion relating the Bayesian schools is considered.ResultsFrom both aspects, the distinctions of the concepts that have key role in statistical inference are emphasized. It’s enlightened the discussion of objective - subjective Bayesian Analysis by means of introducing the current views in the literature.

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