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ASL Basic Functions Vol.6 (for Fortran)
| Contents |
|---|
Chapter 1 INTRODUCTION
- 1.1
- OVERVIEW
- 1.1.1
- Introduction to The Advanced Scientific Library ASL
- 1.1.2
- Distinctive Characteristics of ASL
- 1.2
- KINDS OF LIBRARIES
- 1.3
- ORGANIZATION
- 1.3.1
- Introduction
- 1.3.2
- Organization of Subroutine Description
- 1.3.3
- Contents of Each Item
- 1.4
- SUBROUTINE NAMES
- 1.5
- NOTES
Chapter 2 RANDOM NUMBER TESTS
- 2.1
- INTRODUCTION
- 2.1.1
- Explanation
- 2.1.2
- Reference Bibliography
- 2.2
- UNIFORM RANDOM NUMBER TESTS
- 2.3
- CONTINUOUS DISTRIBUTION RANDOM NUMBER TESTS
- 2.3.1
- DJTENO, RJTENO
Normal Distribution Random Number Test- 2.3.2
- DJTEEX, RJTEEX
Exponential Distribution Random Number Test- 2.3.3
- DJTECC, RJTECC
Cauchy Distribution Random Number Test- 2.3.4
- DJTEGU, RJTEGU
Gumbel Distribution Random Number Test- 2.3.5
- DJTEWE, RJTEWE
Weibull Distribution Random Number Tests- 2.3.6
- DJTEGM, RJTEGM
Gamma Distribution Random Number Test- 2.3.7
- DJTELG, RJTELG
Logistic Distribution Random Number Test- 2.4
- DISCRETE DISTRIBUTION RANDOM NUMBER TESTS
Chapter 3 PROBABILITY DISTRIBUTIONS
- 3.1
- INTRODUCTION
- 3.1.1
- Explanation
- 3.1.2
- Reference Bibliography
- 3.2
- CONTINUOUS DISTRIBUTIONS
- 3.2.1
- D1CDNO, R1CDNO
Normal Distribution- 3.2.2
- D1CDIN, R1CDIN
Inverse of Normal Distribution- 3.2.3
- D1CDBN, R1CDBN
Bivariate Normal Distribution- 3.2.4
- D1CDCH, R1CDCH
χ2 Distribution- 3.2.5
- D1CDIC, R1CDIC
Inverse of χ2 Distribution- 3.2.6
- D1CDNC, R1CDNC
Noncentral χ2 Distribution- 3.2.7
- D1CDIX, R1CDIX
Inverse Noncentral χ2 Distribution- 3.2.8
- D1CDTB, R1CDTB
t Distribution- 3.2.9
- D1CDIT, R1CDIT
Inverse of t Distribution- 3.2.10
- D1CDNT, R1CDNT
Noncentral t Distribution- 3.2.11
- D1CDIS, R1CDIS
Inverse Noncentral t Distribution- 3.2.12
- D1CDFB, R1CDFB
F Distribution- 3.2.13
- D1CDIF, R1CDIF
Inverse of F Distribution- 3.2.14
- D1CDGM, R1CDGM
Gamma Distribution- 3.2.15
- D1CDIG, R1CDIG
Inverse Gamma Distribution- 3.2.16
- D1CDBT, R1CDBT
Beta Distribution- 3.2.17
- D1CDIB, R1CDIB
Inverse Beta Distribution- 3.2.18
- D1CDUF, R1CDUF
Uniform Distribution- 3.2.19
- D1CDTR, R1CDTR
Triangular Distribution- 3.2.20
- D1CDPA, R1CDPA
Pareto Distribution- 3.2.21
- D1CDWE, R1CDWE
Weibull Distribution- 3.2.22
- D1CDEX, R1CDEX
Exponential Distribution- 3.2.23
- D1CDGU, R1CDGU
Gumbel Distribution- 3.2.24
- D1CDLD, R1CDLD
Logarithmic Distribution- 3.2.25
- D1CDLN, R1CDLN
Log-Normal Distribution- 3.2.26
- D1CDLG, R1CDLG
Logistic Distribution- 3.2.27
- D1CDCC, R1CDCC
Cauchy Distribution- 3.3
- DISCRETE DISTRIBUTIONS
Chapter 4 SAMPLE STATISTICS
- 4.1
- INTRODUCTION
- 4.1.1
- Explanation
- 4.1.2
- Reference Bibliography
- 4.2
- BASIC STATISTICS
- 4.3
- VARIANCE-COVARIANCE
- 4.4
- CORRELATION COEFFICIENTS
Chapter 5 TIME SERIES ANALYSIS
- 5.1
- INTRODUCTION
- 5.1.1
- Explanation
- 5.1.2
- Reference Bibliography
- 5.2
- AUTOCOVARIANCE AND CROSS COVARIANCE
- 5.3
- AUTOCORRELATION AND CROSS CORRELATION
- 5.4
- SMOOTHING AND DEMAND FORECASTING
Chapter 6 TESTS AND ESTIMATES
- 6.1
- INTRODUCTION
- 6.1.1
- Explanation
- 6.1.2
- Reference Bibliography
- 6.2
- INTERVAL ESTIMATES
- 6.2.1
- D3IERA, R3IERA
Interval Estimation of the Population Ratio According to One Set of Samples- 6.2.2
- D3IEME, R3IEME
Interval Estimation of the Population Mean According to One Set of Samples- 6.2.3
- D3IESU, R3IESU
Interval Estimation of the Difference of the Population Means According to Two Sets of Independent Samples- 6.2.4
- D3IEVA, R3IEVA
Interval Estimation of the Population Variance Due to One Set of Samples- 6.2.5
- D3IETC, R3IETC
Interval Estimation of the Population Correlation Coefficient According to One Set of Samples- 6.2.6
- D3IECD, R3IECD
Interval Estimation of the Difference of the Population Correlation Coefficient According to Two Sets of Independent Samples- 6.2.7
- D3IESR, R3IESR
Interval Estimation in the Simple Linear Regression- 6.3
- TESTS
- 6.3.1
- D3TSRA, R3TSRA
Test of the Population Ratio According to One Set of Samples- 6.3.2
- D3TSRD, R3TSRD
Test of the Difference of the Population Ratios According to Two Sets of Independent Samples- 6.3.3
- D3TSME, R3TSME
Test of the Population Mean According to One Set of Samples- 6.3.4
- D3TSSU, R3TSSU
Test of the Difference of the Population Means According to Two Sets of Independent Samples- 6.3.5
- D3TSVA, R3TSVA
Test of the Population Variance Due to One Set of Samples- 6.3.6
- D3TSTC, R3TSTC
Test of the Population Correlation Coefficient According to One Set of Samples- 6.3.7
- D3TSCD, R3TSCD
Test of the Difference of the Population Correlation Coefficients According to Two Sets of Independent Samples- 6.3.8
- D3TSSR, R3TSSR
Test in the Simple Linear Regression
Chapter 7 ANALYSIS OF VARIANCE AND DESIGN OF EXPERIMENTS
- 7.1
- INTRODUCTION
- 7.1.1
- Explanation
- 7.1.2
- Reference Bibliography
- 7.2
- ONE-WAY LAYOUT
- 7.3
- TWO-WAY LAYOUT
- 7.4
- MULTIPLE-WAY LAYOUT
- 7.5
- CUMULATIVE METHOD
- 7.6
- RANDOMIZED BLOCK DESIGN
- 7.7
- GRECO-LATIN SQUARE METHOD
- 7.8
- BALANCED INCOMPLETE BLOCK DESIGN
Chapter 8 NONPARAMETRIC TESTS
- 8.1
- INTRODUCTION
- 8.1.1
- Explanation
- 8.1.2
- Reference Bibliography
- 8.2
- TESTS USING χ2 DISTRIBUTION
- 8.3
- TESTS USING OTHER DISTRIBUTION
Chapter 9 MULTIVARIATE ANALYSIS
- 9.1
- INTRODUCTION
- 9.1.1
- Explanation
- 9.1.2
- Reference Bibliography
- 9.2
- PRINCIPAL COMPONENT ANALYSIS
- 9.3
- FACTOR ANALYSIS
- 9.4
- CANONICAL CORRELATION ANALYSIS
- 9.5
- DISCRIMINANT ANALYSIS
- 9.6
- CLUSTER ANALYSIS
Chapter 10 REGRESSION ANALYSIS
- 10.1
- INTRODUCTION
- 10.1.1
- Explanation
- 10.1.2
- Reference Bibliography
- 10.2
- LINEAR REGRESSION ANALYSIS
- 10.3
- NONLINEAR REGRESSION ANALYSIS
Appendix
- Appendix A
- METHODS OF HANDLING ARRAY DATA
- A.1
- Methods of handling array data corresponding to matrix
- A.2
- Data storage modes
- A.2.1
- Real matrix (two-dimensional array type)
- A.2.2
- Real symmetric matrix and positive symmetric matrix
- Appendix B
- MACHINE CONSTANTS USED IN ASL
- B.1
- Units for Determining Error
- B.2
- Maximum and Minimum Values of Floating Point Data
