Sufficiency criterion in statistical inference

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dc.contributor.advisor Ali, Mir M. en_US Bookmyer, Lloyd D. en_US 2011-06-03T19:31:37Z 2011-06-03T19:31:37Z 1976 en_US 1976
dc.identifier LD2489.Z78 1976 .B66 en_US
dc.description.abstract In statistical inference one of the most important properties that an estimator of an unknown parameter can possess is the property of sufficiency. The use of sufficient statistics has been prescribed in the past and their use today plays an ever increasing role in modern statistical inference. Because of the utmost importance of sufficient statistics, it is the goal of this thesis to study the various aspects of sufficiency in connection with the estimation of parameters.This study utilizes a blend of a geometric and an analytic approach to sufficiency. This is done to show the power of each and to demonstrate how the two approaches complement each other and combine to give better insight into the concept of sufficiency.In this thesis the author also establishes some new and important results on sufficiency and minimal sufficiency. These results, taken as a whole, constitute a unified presentation of some of the most important aspects of sufficiency and non-sufficiency.
dc.format.extent 61 leaves ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Mathematical statistics. en_US
dc.subject.lcsh Statistical hypothesis testing. en_US
dc.title Sufficiency criterion in statistical inference en_US Thesis (M.S.)
dc.identifier.cardcat-url en_US

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  • Master's Theses [5510]
    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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