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(b) If n = 10 time headway observations are made, resulting in the values 3.11, 0.35, 2.55, 2.20, 5.44, 3.42, 10.39, 8.93, 17.69, and 1.30, calculate the estimates of 0 and λ. (Round your estimate of λ to three decimal places.) ê= λ =

(b) If n = 10 time headway observations are made, resulting in the values 3.11, 0.35, 2.55, 2.20, 5.44, 3.42, 10.39, 8.93, 17.69, and 1.30, calculate the estimates of 0 and λ. (Round your estimate of λ to three decimal places.) ê= λ =

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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Consider a random sample X₁, X₂₁ λе-^(x - 0) f(x; λ, 0) = 0 Taking 0 = 0 gives the pdf of the exponential distribution considered previously (with positive density to the right of zero). An example of the shifted exponential distribution appears in time headway in traffic flow where 0 = 0.5 is the minimum possible time headway. (a) Obtain the maximum likelihood estimator of 0. n - Exi the maximum of x; n Σ(x₁ - 6) the minimum of x; ê nΣx; Obtain the maximum likelihood estimator of λ. the minimum of x; î n - Exi the maximum of x; = .., X from the shifted exponential pdf x ≥ 0 otherwise n (x₁ - 6) ê nExi (b) If n = 10 time headway observations are made, resulting in the values 3.11, 0.35, 2.55, 2.20, 5.44, 3.42, 10.39, 8.93, 17.69, and 1.30, calculate the estimates of 0 and λ. (Round your estimate of λ to three decimal places.) ê= Â=
Transcribed Image Text:Consider a random sample X₁, X₂₁ λе-^(x - 0) f(x; λ, 0) = 0 Taking 0 = 0 gives the pdf of the exponential distribution considered previously (with positive density to the right of zero). An example of the shifted exponential distribution appears in time headway in traffic flow where 0 = 0.5 is the minimum possible time headway. (a) Obtain the maximum likelihood estimator of 0. n - Exi the maximum of x; n Σ(x₁ - 6) the minimum of x; ê nΣx; Obtain the maximum likelihood estimator of λ. the minimum of x; î n - Exi the maximum of x; = .., X from the shifted exponential pdf x ≥ 0 otherwise n (x₁ - 6) ê nExi (b) If n = 10 time headway observations are made, resulting in the values 3.11, 0.35, 2.55, 2.20, 5.44, 3.42, 10.39, 8.93, 17.69, and 1.30, calculate the estimates of 0 and λ. (Round your estimate of λ to three decimal places.) ê= Â=
Expert Solution
Step 1

Since (a) is answered i gives solution of (b)

From given :

n=10

xi:3.11,0.35,2.55,2.20,5.44,3.42,10.39,8.93,17.69,1.30

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