A least deviation approach for credibility estimation : an alternative approach to Buhlmann's credibility

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dc.contributor.advisor Dean, Curtis G.
dc.contributor.author Adnan, Mian Arif Shams
dc.date.accessioned 2016-07-27T15:00:36Z
dc.date.available 2016-07-27T15:00:36Z
dc.date.issued 2016-07-23
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/123456789/200302
dc.description.abstract All previously derived univariate measures of credibility are much affected by outlier(s) and their multivariate or hierarchical or regression counterparts on the other hand, fail to cope with the observations of non-normal populations. All of them considered traditional measure of risk (that uses the squared error loss function) and variance (or, standard deviation) that fail to capture fully the “true dispersion” of the data for estimating credibility. Moreover, maximum of the credibility estimators are based on normality approximations of the parent population of the data. Attempts have been made here to find new robust measures of credibility which are based on all observations and one dimensional dispersion measures. These measures are useable to any loss distribution irrespective of shape of that distribution (symmetric and/or asymmetric loss distribution) and are less affected by outlier(s) and/or extreme observation(s). en_US
dc.description.sponsorship Department of Mathematical Sciences
dc.description.tableofcontents Existing measures of greatest accuracy credibility -- New measures of greatest accuracy credibility -- Comparative study between Bühlmann's credibility and absolute error loss function credibility for single exposure -- Comparative study between Bühlmann and Straub's and absolute error loss function credibility for multiple exposures -- Real life examples.
dc.subject.lcsh Outliers (Statistics)
dc.subject.lcsh Nonparametric statistics.
dc.subject.lcsh Credibility theory (Insurance)
dc.title A least deviation approach for credibility estimation : an alternative approach to Buhlmann's credibility en_US
dc.description.degree Thesis (M.A.) en_US
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/1825299


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  • Master's Theses [5416]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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