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Sinopsis
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
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