Question
In: Statistics and Probability
The following data was collected from a global warming exercise regarding the time elapsed in months...
The following data was collected from a global warming exercise regarding the time elapsed in months between major floods attributed to global warming. Time Elapsed: 1,2,2,1,1,1,2,2,3,4,3,4,3,5,3,4,3,4,6,7,8,6,7,6,8,7,6,7,6,7,6,8,9,9,10,10,11,11,11,9,9,10,12,13,14,14,14,13, 13,12,12,15,15,16,16,17,17,16,18,19,20,20,21,23,23,19,19,11,13,12,24
Using the Method of Moments (MM) for a data fit investigation to a distribution
i. Find an estimate for the Exponential distribution parameter.
ii. Find estimators for Gamma distribution parameters.
iii. Find estimators for Normal distribution parameters
iv. Write down the log-likelihood function for the normal distribution (only in terms of the summation with the correct indexes) and calculate its value in R using the maximum likelihood estimates of µ and σ
v. Assess the fit of these three distributions to the empirical distribution for the time elapsed by presenting all three fits on to a cumulative probability graph. Which model would you recommend? Why?
vi. Select the best model among the tested models via AIC.
Solutions
Expert Solution
i. Find an estimate for the Exponential distribution parameter.
ii. Find estimators for Gamma distribution parameters.
iii. Find estimators for Normal distribution parameters
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orchestra answered 2 years agoRelated Solutions
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