Chapter 7 Functions of Random Variables (Optional)

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Presentation transcript:

Chapter 7 Functions of Random Variables (Optional)

Section 7.1 Introduction

Section 7.2 Transformation of Variables

Theorem 7.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 7.1 Mapping set A into set B Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 7.2 Decreasing and increasing function Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 7.3 Moments and Moment-Generating Functions

Definition 7.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 7.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 7.12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Corollary 7.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Corollary 7.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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