Reference no: EM131257262
1. For each of the following distributions, generate 1,000 variables and compare the mean, variance and histogram of the generated random variables with the theoretical values.
(a) Y ∼ binomial(8, 2/3)
(b) Y ∼ poisson(2/3)
(c) Y ∼ gamma(2, 2)
(d) Y ∼ beta(2, 4)
2. Let {Xn }N n=1 be a random sample from a continuous distribution with pdf:
fxn (xn ;θ) = θxθ-1 n I{xn , ∈ (0, 1) }, θ ∈ Θ ≡ R++
(a) Find the method of moments estimator and the maximum likelihood estimator.
(b) Generate a random sample of N = 1, 000 for θ = 3, compute the method of moments and the maximum likelihood estimators. Compare them with the true population parameter.
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Develop five medical staff by-law based on given information
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Compute method of moments and maximum likelihood estimators
: Generate a random sample of N = 1, 000 for θ = 3, compute the method of moments and the maximum likelihood estimators. Compare them with the true population parameter.
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Keeping unemployment at its natural rate
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