Suppose that Y, Y and Y3 denote a random sample from an exponential distribution with probability...
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Suppose that Y₁, Y₂ and Y3 denote a random sample from an exponential distribution with probability density function, f(y) = { / € ² 0 e¾/0; y > 0 ;0/w and the following five estimators are available for 0. 0₂ = 51/¹1,0₂ = 3Y₁ + Y₂ - 9 2 ,03 = Y i) Which of these estimators are unbiased? ii) What is the best estimator for ? iii) Find a multiple of ₁ and ₂ that are unbiased estimators of 0. Suppose that Y₁, Y₂ and Y3 denote a random sample from an exponential distribution with probability density function, f(y) = { / € ² 0 e¾/0; y > 0 ;0/w and the following five estimators are available for 0. 0₂ = 51/¹1,0₂ = 3Y₁ + Y₂ - 9 2 ,03 = Y i) Which of these estimators are unbiased? ii) What is the best estimator for ? iii) Find a multiple of ₁ and ₂ that are unbiased estimators of 0.
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Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
Posted Date:
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