(Chess games) Garry and Anish decide to play 10 chess games. Garry wins 4, they draw...
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(Chess games) Garry and Anish decide to play 10 chess games. Garry wins 4, they draw 4, and Anish wins 2. We decide to model the games probabilistically, assuming that they are independent and in each game Garry has a probability of winning and Anish has a probability a of winning. (a) Plot the log-likelihood function of the parametric model. (b) What is the maximum likelihood estimate of 0 and a? (c) Model the data as realizations from a discrete random variable and compute its empirical pmf. Compare this nonparametric model to the parametric model from the previous questions. (Chess games) Garry and Anish decide to play 10 chess games. Garry wins 4, they draw 4, and Anish wins 2. We decide to model the games probabilistically, assuming that they are independent and in each game Garry has a probability of winning and Anish has a probability a of winning. (a) Plot the log-likelihood function of the parametric model. (b) What is the maximum likelihood estimate of 0 and a? (c) Model the data as realizations from a discrete random variable and compute its empirical pmf. Compare this nonparametric model to the parametric model from the previous questions.
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a Pdraw 10a with this likelihood function 10 a 04a 104 L0 a logl 4log0 2loga 4log10a plot is done ... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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