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Find the Bayes estimator of the rate of a Poisson… duration 11 minutes 12 seconds Find the Bayes estimator of the rate of a Poisson… Find the Bayes estimator of the rate of a Poisson distribution	Find the Bayes estimator of the rate of a Poisson distribution This example illustrates how to find the Bayes estimator, under squared error loss function, of the rate of a Poisson distribution if the prior distribution on the rate is a gamma distribution. bayes estimator parameter space support prior distribution posterior distribution marginal distribution posterior mean gamma distribution From Jane Harvill 233 plays 0
Bayes Estimators duration 15 minutes 24 seconds Bayes Estimators Bayes Estimators	Bayes Estimators 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… bayes estimator prior distribution posterior distribution marginal distribution conjugate family From Jane Harvill 258 plays 0
Order Statistics duration 16 minutes 47 seconds Order Statistics Order Statistics	Order Statistics Sample values such as the smallest, largest, or middle observations from a random sample can provide additional summary information. The minimum, maximum, or median are all examples of order… order statistics marginal distribution joint distribution minimum maximum quartiles range midrange interquartile range transformation median From Jane Harvill 197 plays 0
Conditional Distributions and Independence duration 28 minutes 53 seconds Conditional Distributions and Independence Conditional Distributions and Independence	Conditional Distributions and Independence Oftentimes when two random variables (X, Y) are observed, the values of the two variables are related. For example, it may be that knowledge about the value of X gives information about the value of… conditional distribution marginal distribution joint distribution conditional expectation moment generating function conditional probability independent random variables From Jane Harvill 174 plays 0
Joint and Marginal Distributions, Discrete Case duration 19 minutes 8 seconds Joint and Marginal Distributions, Discrete Case Joint and Marginal Distributions, Discrete Case	Joint and Marginal Distributions, Discrete Case All of the models previously discussed involved only one random variable and were called univariate models. We now move forward and discuss probability models that involve more than one random… joint distribution marginal distribution expectation From Jane Harvill 106 plays 0