Interarrival times to a coffee shop is random with unknown distribution. A shop owner wants to...
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Interarrival times to a coffee shop is random with unknown distribution. A shop owner wants to approximate daily interarrival times using the first 20 arrivals of the day, denoted as X₁, X2, X3, X20, with one of the following estimators: 30X3+40X13+50X₁ 110 A₂ = 0.4X₁ +0.85X14-0.15X10 2X₁ + 2X10 + X20 5 A3 = A₁ = 2aX₁ + (1-2a)X10 where 0≤ası 3X10 + 4X20 8 As a) Determine the bias and precision for each estimator. Write down the MSE expressions. b) Which estimator is better A, or A4. (Use MSE). Interarrival times to a coffee shop is random with unknown distribution. A shop owner wants to approximate daily interarrival times using the first 20 arrivals of the day, denoted as X₁, X2, X3, X20, with one of the following estimators: 30X3+40X13+50X₁ 110 A₂ = 0.4X₁ +0.85X14-0.15X10 2X₁ + 2X10 + X20 5 A3 = A₁ = 2aX₁ + (1-2a)X10 where 0≤ası 3X10 + 4X20 8 As a) Determine the bias and precision for each estimator. Write down the MSE expressions. b) Which estimator is better A, or A4. (Use MSE).
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To determine the bias and precision for each estimator and write down the mean squared error MSE expressions we need to calculate the expected value E ... View the full answer
Related Book For
Introduction to Management Science A Modeling and Cases Studies Approach with Spreadsheets
ISBN: 978-0078024061
5th edition
Authors: Frederick S. Hillier, Mark S. Hillier
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