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This lesson reviews point estimation from a frequentist perspective. Method of moments and maximum likelihood methods are reviewed. Following that is a discussion of decision theory, optimal…
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The two examples in this video illustrate how to show a family of distributions is complete. The first example uses the definition of complete. The second definition relies on the properties of…
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In data reduction, there are two key principles that play a role in ensuring the statistics being used are efficient in reducing the data and contain information that isn't misleading: those of…
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Two examples are provided that illustrate using the Factorization Theorem to find a sufficient statistic.
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An example to illustrate how to find the joint probability density function of a random sample from a gamma distribution using the result that the gamma family of distributions is an exponential…
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Example to show that the gamma family of PDFs is an exponential family
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An example to illustrate how to show the geometric(p) family of distributions is an exponential family.
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Many of the important distributions belong to a special class of distributions because their probability mass function (PMF) or probability density function (PDF) satisfies a specific mathematical…
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In the previous lesson on best unbiased estimators and the Cramer-Rao Lower Bound, the concept of sufficiency was not used. We will now consider how sufficiency is a powerful tool in our search for…
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The Bayesian approach to statistics is fundamentally different from the classical approach that we have been discussing. However, some aspects of the Bayesian approach can be quite helpful to other…
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The previous two lessons both describe data reduction principles in the following way. A function T(x) of the sample is specified, and the principle states that if x and y are two sample points with…
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In this lesson, we briefly review the concept of sufficiency and quickly move to minimal sufficiency. Following this is a brief discussion of ancillary statistics. We then focus on complete…
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When a random sample is drawn, some summary of the values is usually computed. Any well-defined summary may be expressed mathematically as a function of an n-dimension vector. The domain of that…
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We discuss three techniques for constructing families of distributions. The resulting families have ready physical interpretations that make them useful for modeling as well as convenient…
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Exponential families are a large family of probability density functions (PDF) and probability mass functions (PMF) that share certain convenient and important mathematical properties that are…
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October 10, 2017 - BGCT Day
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April 11, 2017 - Truett's Pastor of the Day presented by the Kyle Lake Center for Effective Preaching
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March 14, 2017 - Dr. John B. White, director of Truett's Sports Chaplaincy/Ministry Program, and Cindy White, program director for Truett's Youth Spirituality and Sports Institute,…
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February 7, 2017 - Truett's Pastor of the Day presented by the Kyle Lake Center for Effective Preaching
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January 30, 2017 - E.K. Bailey Memorial Preaching Event
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January 31, 2017 - E.K. Bailey Memorial Preaching Event
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January 31, 2017 - E.K. Bailey Memorial Preaching Event
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Spring Convocation - Tuesday, January 10, 2017
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W.C. Dobbs Endowed Lecture - November 17, 2016
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2016 Baylor Libraries Symposium: Thomas Paine's Rights of Man Panel Three 2016 September 29 Jeremy Everett The Art of Social Change: Cultivating Trust to Address Hunger and Poverty in a…
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Parchman Endowed Lectures October 26, 2016
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Parchman Endowed Lectures October 25, 2016
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