The number of connections to a wrong phone number is often modeled by a Poisson distribution. To estimate the unknown parameter of that distribution (the mean number of wrong connections) one observes a sample x₁,..., n of wrong connections on n different days. Assum- ing that σ = ₁ + ... + x₂ > 0, (i) give the likelihood function of the sample; (ii) find the m.l.e. and MLE of A. =t. (i) If ƒ (x|λ) = e¯^, then show that the likelihood function is
The number of connections to a wrong phone number is often modeled by a Poisson distribution. To estimate the unknown parameter of that distribution (the mean number of wrong connections) one observes a sample x₁,..., n of wrong connections on n different days. Assum- ing that σ = ₁ + ... + x₂ > 0, (i) give the likelihood function of the sample; (ii) find the m.l.e. and MLE of A. =t. (i) If ƒ (x|λ) = e¯^, then show that the likelihood function is
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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