Question
In: Statistics and Probability
a) Find the mode of the beta distribution b) Find the mode of the gamma distribution
a) Find the mode of the beta distribution
b) Find the mode of the gamma distribution
Solutions
Expert Solution
BETA DISTRIBUTION: beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parametrized by two positive shape parameters, denoted by α and β, that appear as exponents of the random variable and control the shape of the distribution. The generalization to multiple variables is called a Dirichlet distribution.
GAMMA DISTRIBUTION: gamma distribution is a two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and chi-squared distribution are special cases of the gamma distribution.
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f
5
2
4
5
3
2
2
3
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1111
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221221
256256
248248
276276
220220
237237
298298
273273
220220
187187
298298
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85
100
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225
234
250
250
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