Theorem 17-1. If T, is a consistent estimator of y(0) and y {y(0)} is a continuous function of y(0), then y (T„) is a consistent estimator of yly(0)}.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Prove the following theorem

Theorem 17.1. If T„ is a consistent estimator of y(0) and ys {y (0)} is a continuous
function of y(0), then y (T„) is a consistent estimator of y {y(0)}.
Transcribed Image Text:Theorem 17.1. If T„ is a consistent estimator of y(0) and ys {y (0)} is a continuous function of y(0), then y (T„) is a consistent estimator of y {y(0)}.
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