Write down the log-likelihood function for the problem and obtain an analytical solution for the Maximum Likelihood
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Find the maximum likelihood estimator by getting the derivative and equating it to 0In 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 estimator
- Please help me find likelihood, log-likelihood and MLEs of two parameters, thank you.Suppose X1, . . . , Xn ∼ Exponential(λ) is a set of n observations drawn independently from an Exponential distribution.(a) Write out the likelihood function. (b) Write out the log-likelihood function. (c) Find the score function by taking the partial derivative of the log-likelihood function. (d) Set the score function equal to zero and solve for the parameter λ. (e) Take the second partial derivative of the score function. (f) Check to make sure this value is negative to ensure that the log-likelihood function is concave down.Write 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 model
