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9.34 The Rayleigh density function is given by -[(@)-* f(y) = y > 0, elsewhere. In Exercise 6.34(a), you established that Y² has an exponential distribution with mean . If Y₁, Y2,..., Y₁ denote a random sample from a Rayleigh distribution, show that W = Y is a consistent estimator for 0.

9.34 The Rayleigh density function is given by -[(@)-* f(y) = y > 0, elsewhere. In Exercise 6.34(a), you established that Y² has an exponential distribution with mean . If Y₁, Y2,..., Y₁ denote a random sample from a Rayleigh distribution, show that W = Y is a consistent estimator for 0.

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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9.34 The Rayleigh density function is given by -[(*)* n f(y) = y > 0, elsewhere. In Exercise 6.34(a), you established that Y2 has an exponential distribution with mean 8. If Y₁, Y2,..., Y₁ denote a random sample from a Rayleigh distribution, show that W₂ Y is a consistent estimator for 0. = i=1
Transcribed Image Text:9.34 The Rayleigh density function is given by -[(*)* n f(y) = y > 0, elsewhere. In Exercise 6.34(a), you established that Y2 has an exponential distribution with mean 8. If Y₁, Y2,..., Y₁ denote a random sample from a Rayleigh distribution, show that W₂ Y is a consistent estimator for 0. = i=1
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