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ASL Basic Functions Vol.6 (for C)
| Contents |
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Chapter 1 INTRODUCTION
- 1.1
- OVERVIEW
- 1.1.1
- Introduction to The Advanced Scientific Library ASL C interface
- 1.1.2
- Distinctive Characteristics of ASL C interface
- 1.2
- KINDS OF LIBRARIES
- 1.3
- ORGANIZATION
- 1.3.1
- Introduction
- 1.3.2
- Organization of Function Description
- 1.3.3
- Contents of Each Item
- 1.4
- FUNCTION 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
- ASL_djteno, ASL_rjteno
Normal Distribution Random Number Test- 2.3.2
- ASL_djteex, ASL_rjteex
Exponential Distribution Random Number Test- 2.3.3
- ASL_djtecc, ASL_rjtecc
Cauchy Distribution Random Number Test- 2.3.4
- ASL_djtegu, ASL_rjtegu
Gumbel Distribution Random Number Test- 2.3.5
- ASL_djtewe, ASL_rjtewe
Weibull Distribution Random Number Tests- 2.3.6
- ASL_djtegm, ASL_rjtegm
Gamma Distribution Random Number Test- 2.3.7
- ASL_djtelg, ASL_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
- ASL_d1cdno, ASL_r1cdno
Normal Distribution- 3.2.2
- ASL_d1cdin, ASL_r1cdin
Inverse of Normal Distribution- 3.2.3
- ASL_d1cdbn, ASL_r1cdbn
Bivariate Normal Distribution- 3.2.4
- ASL_d1cdch, ASL_r1cdch
χ2 Distribution- 3.2.5
- ASL_d1cdic, ASL_r1cdic
Inverse of χ2 Distribution- 3.2.6
- ASL_d1cdnc, ASL_r1cdnc
Noncentral χ2 Distribution- 3.2.7
- ASL_d1cdix, ASL_r1cdix
Inverse Noncentral χ2 Distribution- 3.2.8
- ASL_d1cdtb, ASL_r1cdtb
t Distribution- 3.2.9
- ASL_d1cdit, ASL_r1cdit
Inverse of t Distribution- 3.2.10
- ASL_d1cdnt, ASL_r1cdnt
Noncentral t Distribution- 3.2.11
- ASL_d1cdis, ASL_r1cdis
Inverse Noncentral t Distribution- 3.2.12
- ASL_d1cdfb, ASL_r1cdfb
F Distribution- 3.2.13
- ASL_d1cdif, ASL_r1cdif
Inverse of F Distribution- 3.2.14
- ASL_d1cdgm, ASL_r1cdgm
Gamma Distribution- 3.2.15
- ASL_d1cdig, ASL_r1cdig
Inverse Gamma Distribution- 3.2.16
- ASL_d1cdbt, ASL_r1cdbt
Beta Distribution- 3.2.17
- ASL_d1cdib, ASL_r1cdib
Inverse Beta Distribution- 3.2.18
- ASL_d1cduf, ASL_r1cduf
Uniform Distribution- 3.2.19
- ASL_d1cdtr, ASL_r1cdtr
Triangular Distribution- 3.2.20
- ASL_d1cdpa, ASL_r1cdpa
Pareto Distribution- 3.2.21
- ASL_d1cdwe, ASL_r1cdwe
Weibull Distribution- 3.2.22
- ASL_d1cdex, ASL_r1cdex
Exponential Distribution- 3.2.23
- ASL_d1cdgu, ASL_r1cdgu
Gumbel Distribution- 3.2.24
- ASL_d1cdld, ASL_r1cdld
Logarithmic Distribution- 3.2.25
- ASL_d1cdln, ASL_r1cdln
Log-Normal Distribution- 3.2.26
- ASL_d1cdlg, ASL_r1cdlg
Logistic Distribution- 3.2.27
- ASL_d1cdcc, ASL_r1cdcc
Cauchy Distribution- 3.3
- DISCRETE DISTRIBUTIONS
- 3.3.1
- ASL_d1ddbp, ASL_r1ddbp
Binomial Distribution and Negative Binomial Distribution- 3.3.2
- ASL_d1ddgo, ASL_r1ddgo
Geometric Distribution- 3.3.3
- ASL_d1ddpo, ASL_r1ddpo
Poisson Distribution- 3.3.4
- ASL_d1ddhg, ASL_r1ddhg
Hypergeometric Distribution- 3.3.5
- ASL_d1ddhn, ASL_r1ddhn
Negative Hypergeometric Distribution
Chapter 4 SAMPLE STATISTICS
- 4.1
- INTRODUCTION
- 4.1.1
- Explanation
- 4.1.2
- Reference Bibliography
- 4.2
- BASIC STATISTICS
- 4.2.1
- ASL_d2ba1t, ASL_r2ba1t
One Sample Basic Statistics- 4.2.2
- ASL_d2ba2s, ASL_r2ba2s
Two Samples Basic Statistics- 4.2.3
- ASL_d2bams, ASL_r2bams
m Samples Basic Statistics- 4.2.4
- ASL_d2bagm, ASL_r2bagm
Geometric Mean- 4.2.5
- ASL_d2bamo, ASL_r2bamo
Moment- 4.2.6
- ASL_d2bahm, ASL_r2bahm
Harmonic Mean- 4.2.7
- ASL_d2basm, ASL_r2basm
Root Mean Square- 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
- ASL_d3iera, ASL_r3iera
Interval Estimation of the Population Ratio According to One Set of Samples- 6.2.2
- ASL_d3ieme, ASL_r3ieme
Interval Estimation of the Population Mean According to One Set of Samples- 6.2.3
- ASL_d3iesu, ASL_r3iesu
Interval Estimation of the Difference of the Population Means According to Two Sets of Independent Samples- 6.2.4
- ASL_d3ieva, ASL_r3ieva
Interval Estimation of the Population Variance Due to One Set of Samples- 6.2.5
- ASL_d3ietc, ASL_r3ietc
Interval Estimation of the Population Correlation Coefficient According to One Set of Samples- 6.2.6
- ASL_d3iecd, ASL_r3iecd
Interval Estimation of the Difference of the Population Correlation Coefficient According to Two Sets of Independent Samples- 6.2.7
- ASL_d3iesr, ASL_r3iesr
Interval Estimation in the Simple Linear Regression- 6.3
- TESTS
- 6.3.1
- ASL_d3tsra, ASL_r3tsra
Test of the Population Ratio According to One Set of Samples- 6.3.2
- ASL_d3tsrd, ASL_r3tsrd
Test of the Difference of the Population Ratios According to Two Sets of Independent Samples- 6.3.3
- ASL_d3tsme, ASL_r3tsme
Test of the Population Mean According to One Set of Samples- 6.3.4
- ASL_d3tssu, ASL_r3tssu
Test of the Difference of the Population Means According to Two Sets of Independent Samples- 6.3.5
- ASL_d3tsva, ASL_r3tsva
Test of the Population Variance Due to One Set of Samples- 6.3.6
- ASL_d3tstc, ASL_r3tstc
Test of the Population Correlation Coefficient According to One Set of Samples- 6.3.7
- ASL_d3tscd, ASL_r3tscd
Test of the Difference of the Population Correlation Coefficients According to Two Sets of Independent Samples- 6.3.8
- ASL_d3tssr, ASL_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 C INTERFACE
- B.1
- Units for Determining Error
- B.2
- Maximum and Minimum Values of Floating Point Data
