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f(x|a, B) = Ba T(a)" e Bx If you provide R code as a If you calculate by hand, your final answer should be solution, you must provide a complete solution all the way down through optim (...), assuming your data is stored in a variable generated through the following code: data <- rgamma (n=1e5, shape=3, rate=5) = NOTE: If you use RStudio, you may not use dgamma() for your log-likelihood func- tion! The Gamma function r(a) (not distribution, but function) is gamma () in RStudio-try ?gamma for help using it.

f(x|a, B) = Ba T(a)" e Bx If you provide R code as a If you calculate by hand, your final answer should be solution, you must provide a complete solution all the way down through optim (...), assuming your data is stored in a variable generated through the following code: data <- rgamma (n=1e5, shape=3, rate=5) = NOTE: If you use RStudio, you may not use dgamma() for your log-likelihood func- tion! The Gamma function r(a) (not distribution, but function) is gamma () in RStudio-try ?gamma for help using it.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For this question use r studio r language!

1. The Gamma distribution is often used to describe the wait time until a certain number of events occurs.

Assume x1, . . . , xn ∼iid Gamma(α, β), where α is shape and β is rate. Calculate the maximum likelihood estimator of β either by hand or via R, but not both. The probability density function (PDF) for the Gamma distribution is:

 

Ba f(r|a, B) = -Bx e If you calculate by hand, your final answer should be B = solution, you must provide a complete solution all the way down through optim(...), assuming your data is stored in a variable generated through the following code: data <- rgamma(n=1e5, shape=D3, rate=5) If you provide R code as a .... NOTE: If you use RStudio, you may not use dgamma() for your log-likelihood func- tion! The Gamma function r(@) (not distribution, but function) is gamma() in RStudio-try ?gamma for help using it.
Transcribed Image Text:Ba f(r|a, B) = -Bx e If you calculate by hand, your final answer should be B = solution, you must provide a complete solution all the way down through optim(...), assuming your data is stored in a variable generated through the following code: data <- rgamma(n=1e5, shape=D3, rate=5) If you provide R code as a .... NOTE: If you use RStudio, you may not use dgamma() for your log-likelihood func- tion! The Gamma function r(@) (not distribution, but function) is gamma() in RStudio-try ?gamma for help using it.
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