Probability Distributions: With Truncated, Log and Bivariate Extensions - Brossura

Thomopoulos, Nick T.

Brossura

ISBN 10: 3319760432 ISBN 13: 9783319760438

Casa editrice: Springer, 2018

Riassunto

1. Continuous Distributions

1.1 Introduction

1.2 Sample Data Statistics

1.3 Notation

1.4 Parameter Estimating Methods

1.5 Transforming Variables

Transform Data to (0,1)

Transform Data to (x ≥0)

1.6 Continuous Random Variables

1.7 Continuous Uniform 

Coefficient of Variation

Parameter Estimates

1.8 Exponential 

1.9 Erlang  

Parameter Estimates

1.10 Gamma  

Parameter Estimates

1.11 Beta  

Standard Beta  

Mean and Variance 

Parameter Estimates

1.12    Weibull  

Weibull Plot 

Parameter Estimates

1.13 Normal

Standard Normal Distribution 

Coefficient of Variation

Parameter Estimates

1.14 Lognormal     

Parameter Estimates

1.15 Summary

1.16   Reference

2   Discrete Distributions

2.1   Introduction

2.2   Discrete Random Variables

Lexis Ratio

2.3   Discrete Uniform

Parameter Estimates

2.4   Binomial

Lexis Ratio

Parameter Estimates

Normal Approximation  

Poisson Approximation  

2.5 Geometric

Number of Trials

Number of Failures

Lexis Ratio

Parameter Estimate

2.6   Pascal

Number of Trials

Lexis Ratio 

Parameter Estimate

Number of Failures

Lexis Ratio

Parameter Estimate

2.7   Poisson

Lexis Ratio

Relation to the Exponential Distribution

Parameter Estimate

2.8   Hyper Geometric

Parameter Estimate2.9 Summary

2.10   Reference

3 Standard Normal

3.1 Introduction

3.2 Gaussian Distribution

3.3 Some Relations on the Standard Normal Distribution

4.3 Normal Distribution

3.5 Standard Normal

3.6     Hastings Approximations

Approximation of F(z) from z

Approximation of z from F(z)

3.7 Table Values of the Standard Normal

3.8 Discrete Normal Distribution

3.9 Summary

3.10   References

4 Partial Expectation

4.1 Introduction

4.2 Partial Expectation

4.3 Left Location Parameter

Table Entries

4.4 Inventory Management

4.5 Right Location Parameter

4.6 Advance Demand

4.7   Summary

4.8   References

5 Left Truncated Normal

5.1   Introduction

5.2   Left-Location Parameter

5.3   Mathematical Equations

5.4   Table Entries

5.5   More Tables

5.6   Left Truncated Distribution

5.7 Application to Sample Data

5.8   LTN for Inventory Control

Automotive Service Parts Distribution Center

Retail Products

5.9   Summary

5.10   References

6   Right Truncated Normal

6.1   Introduction

6.2   Right Truncated Distribution

6.3   Mathematical Equations

6.4   Variable t Range

6.5 Table Entries

6.6 Application to Sample Data

6.7   More Tables

6.8   Summary

6.9   Reference

7 Truncated Normal Spread Ratio

7.1   Introduction

7.2   The Spread Ratio

7.3   LTN Distribution Measures7.4   LTN Table Entries

7.5   RTN Distribution Measures

7.6 &n

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 3319760432
• ISBN 13: 9783319760438
• Rilegatura: Paperback
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile