What is the Cramer Rao lower bound and why is it important?
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- a data managment company records a large amount of data. Historically, there are 1.5 errors per 100 pages of data. Let x be the random variable representing the number of errors in 100 pages. i) if X has a poisson distributiuon, write down value of its paramaters ii) what is the probability that there are three errors in a randomly selected 100 pages? ii) what is the probability that there are three or more errors in a randomly selected 200 pages?1. What is the Cramer-Rao lower bound for the variance of the unbiased estimator of the parameter ?? 2. Use the one-parameter regular exponential family definition to find the functions, ℎ(?),?(?),?(?) and ?(?).Provide a detailed and comparative account of the two tests of heteroskedasticity (theBreusch-Pagan test and the White test)
- What is the White test for heteroskedasticity?A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute Cramer’s V and identify if it is a small, medium, or large effectWhich of the stochastic matrice in Exercise is regular?