Write down the log-likelihood function for the problem and obtain an analytical solution for the Maximum Likelihood de-dy əIn L(X) ƏX = 0
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- Find the maximum likelihood estimator by getting the derivative and equating it to 0Write the value of the (log) likelihood for the fitted glm model and the value of the deviance for comparing the glm fit against the maximal modelI know the maximum likelihood estimate is ymin, but I cannot solve any other aspects of the problem. Any or all parts of the answer welcome
- In Step 2, am I supposed to take a second derivative of the log likelihood function and make sure it's < 0? Also in Step 3, I don't understand how we proved φˆ is a biased estimator. I thought we proved that E φˆ = φˆ and if so it should be an unbiased estimatorThe desired seeding rate of a farmer on his corn field is 90,000 seeds per hectare. If emergence of 90% is expected, what should be expected plant population?Let X1, ..., Xn be a sample from an exponential population with parameter λ.(a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased?(c) Is the estimator consistent?
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- If x1, x2, . . . , xn are the values of a random sample from a normal population with the known standard deviation σ, find the maximum likelihood estimator for µ (the mean of the population)A. Calculate the expected cost of hsinf each antibiotic B. To minimize the total expected cost, which antibiotic should be choseShow that the mean of a random sample of size n from an exponential population is a minimum variance unbi-ased estimator of the parameter θ.