Preface |
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xiii | |
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1 | (8) |
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1 | (1) |
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2 | (2) |
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4 | (4) |
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8 | (1) |
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8 | (1) |
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9 | (23) |
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9 | (6) |
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Visualizing Univariate Data Through Statistical Parameters: A Summary |
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14 | (1) |
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Data Distributions: Probability Density Functions |
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15 | (4) |
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16 | (1) |
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Selected Comments About the Normal Distribution |
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17 | (1) |
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Testing the Normal Probability Density for Goodness of Fit |
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17 | (2) |
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Statistical Hypothesis Testing |
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19 | (5) |
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19 | (3) |
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22 | (1) |
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Hypothesis Test for the Probability Plot |
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23 | (1) |
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So, Which Hypothesis Test Should Be Used? |
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23 | (1) |
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Other Distribution Functions and Suggested Applications |
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24 | (2) |
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24 | (1) |
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The Exponential Distribution |
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24 | (2) |
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The Log-Normal Distribution |
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26 | (1) |
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How Do I Reproduce Results in This Chapter, or Analyze My Own Data... |
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26 | (3) |
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26 | (1) |
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...Using Microsoft Excel? |
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27 | (1) |
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...Using Matlab Student Version 5.3? |
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28 | (1) |
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29 | (3) |
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29 | (3) |
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32 | (29) |
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32 | (12) |
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The Method of Least Squares |
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32 | (2) |
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Linear Least Squares Regression |
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34 | (2) |
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Linear Regression, Type II |
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36 | (2) |
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On the Adequacy of the Linear Regression Model |
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38 | (2) |
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Hypothesis Testing of the Slope, M |
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40 | (1) |
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40 | (2) |
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42 | (1) |
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43 | (1) |
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On the Statistical Significance of the Correlation Coefficient |
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43 | (1) |
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44 | (5) |
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44 | (1) |
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Least Absolute Deviation (LAD) Regression |
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45 | (1) |
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Comment: Least Squares or Least Absolute Deviation, Which Should be Used? |
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46 | (1) |
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Analysis of Residuals to Infer the Need for Nonlinear Regression |
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47 | (2) |
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Application of Correlation Analysis to the Nevada_Landsat Data Set |
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49 | (5) |
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How Do I Reproduce Results in This Chapter, or Analyze My Own Data... |
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54 | (4) |
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54 | (1) |
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55 | (1) |
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...Using Microsoft Excel? |
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56 | (2) |
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58 | (1) |
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A Review of the Nevada_Landsat Data Set |
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59 | (1) |
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59 | (2) |
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59 | (2) |
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Multivariate Data Analysis |
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61 | (24) |
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Analysis of Variance (ANOVA) |
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61 | (2) |
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Application to the Nevada_Landsat_6x_Data |
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63 | (1) |
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Statistical Hypothesis Test for Two Data Sets |
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63 | (2) |
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Principal Components Analysis |
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65 | (12) |
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65 | (1) |
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Standardized Principal Components Analysis |
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65 | (1) |
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Principal Components are Eigenvectors |
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66 | (1) |
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67 | (2) |
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Eigendecomposing the Correlation Matrix for the Nevada_Landsat_6x_Data |
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69 | (2) |
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71 | (3) |
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Application to the Nevada_Landsat Data Set |
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74 | (2) |
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Accommodating Missing Data in Correspondence Analysis |
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76 | (1) |
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Multivariate, Linear Regression (Multiple Regression) |
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77 | (1) |
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Logistic Regression: An Application of Multivariate, Linear Regression to the Nevada_Landsat Data Set |
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77 | (1) |
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How Do I Reproduce Results in This Chapter, or Analyze My Own Data... |
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78 | (5) |
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78 | (1) |
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...Using Microsoft Excel? |
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79 | (1) |
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80 | (3) |
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A Summary of Analyses Thus Far Obtained of the Nevada_Landsat Data Set |
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83 | (1) |
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83 | (1) |
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Final Thoughts on the Robustness of Principal Components Methods |
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83 | (2) |
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84 | (1) |
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Univariate Spatial Analysis |
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85 | (47) |
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85 | (3) |
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Introduction to Time Series Analysis |
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85 | (3) |
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88 | (8) |
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89 | (4) |
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Application to the Nevada_Landsat Data Set |
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93 | (3) |
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Directional Variogram Analysis |
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96 | (1) |
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96 | (3) |
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Kriging: Spatial Interpolation as a Function of Spatial Autocorrelation |
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99 | (4) |
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Covariance is Obtained from the Variogram |
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102 | (1) |
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103 | (5) |
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On the Normality of the Spatial Data |
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104 | (1) |
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On Second Order Stationarity |
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104 | (1) |
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104 | (1) |
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On the Design of the Grid |
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105 | (1) |
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More on the Number of Nearest Neighbors used for Estimation |
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105 | (1) |
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On the Size of the Search Window (And the Type of Search Strategy) |
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105 | (1) |
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On the Concept of Sample Support: Punctual or Block |
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106 | (1) |
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On the Need for a Data Transform |
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106 | (2) |
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On Anisotropic Spatial Autocorrelation Modeling |
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108 | (1) |
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108 | (5) |
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Application to the Nevada_Landsat_Data |
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113 | (4) |
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117 | (2) |
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119 | (1) |
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How Do I Reproduce Results in This Chapter, or Analyze My Own Data |
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119 | (11) |
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119 | (1) |
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119 | (2) |
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121 | (1) |
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122 | (3) |
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125 | (1) |
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125 | (1) |
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126 | (1) |
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127 | (3) |
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130 | (2) |
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130 | (2) |
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Multivariate Spatial Data Analysis |
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132 | (27) |
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132 | (7) |
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Solving for the Cokriging Weights |
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133 | (1) |
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The Matrix System: Kriging: |
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133 | (1) |
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The Matrix System: Cokriging: |
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134 | (5) |
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On the Practice of Cokriging |
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139 | (7) |
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146 | (2) |
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Application to Principal Components Images |
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146 | (1) |
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Extension to Indicator Cokriging |
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147 | (1) |
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148 | (3) |
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Accommodating Undersampling in Cokriging |
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149 | (1) |
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Application to the Nevada_Landsat Data Set: Improving the Resolution of Thermal Images |
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149 | (2) |
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How Do I Reproduce Results in This Chapter Using... |
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151 | (6) |
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151 | (4) |
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155 | (1) |
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156 | (1) |
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157 | (1) |
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Final Thoughts on Cokriging |
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157 | (2) |
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158 | (1) |
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159 | (21) |
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Random Numbers and Their Generation |
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159 | (3) |
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One-Dimensional Spatial Simulation |
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162 | (2) |
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Extension to Three-Dimensional Space: The Method of Random Lines |
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164 | (1) |
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Simulation Using Fractals |
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165 | (2) |
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Nonconditional Simulation: The Need for Data Transformation |
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167 | (1) |
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Nonconditional Simulation of Nevada_Landsat_Data |
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168 | (5) |
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168 | (1) |
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169 | (1) |
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170 | (2) |
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172 | (1) |
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Conditioning the Simulation |
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173 | (2) |
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Application to the Nevada_Landsat_Data |
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173 | (1) |
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174 | (1) |
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174 | (1) |
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Why Is Spatial Simulation Useful? |
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175 | (1) |
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How Do I Reproduce Results in This Chapter, or Experiment With My Own Data... |
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176 | (2) |
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176 | (2) |
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178 | (2) |
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179 | (1) |
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180 | (39) |
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180 | (1) |
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181 | (7) |
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Algorithms for Contrast Adjustment |
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182 | (1) |
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183 | (2) |
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185 | (1) |
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185 | (1) |
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186 | (2) |
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188 | (6) |
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In a Digital Image, What Is a Low Frequency Feature? What Is a High Frequency Feature? |
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189 | (1) |
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Spatial Convolution Filtering: Low-Pass, High-Pass, High-Boost, and Custom Strategies |
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190 | (3) |
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193 | (1) |
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193 | (1) |
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East-West Custom High-Pass Filter (3x3) |
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193 | (1) |
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North-South Custom High-Pass Filter (3x3) |
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193 | (1) |
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Principal Components Analysis of Multispectral Digital Images |
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194 | (4) |
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198 | (5) |
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True Color Compositing: The 24-Bit Bitmap |
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199 | (4) |
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How Do I Reproduce Results in This Chapter, or Analyze My Own Images... |
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203 | (14) |
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203 | (3) |
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206 | (1) |
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207 | (1) |
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208 | (2) |
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Image Addition and Subtraction |
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210 | (1) |
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...Using Matlab 5.3 (Student Version)? |
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210 | (5) |
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...With the Help of Microsoft Excel? |
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215 | (2) |
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217 | (2) |
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217 | (2) |
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219 | (22) |
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Multispectral Digital Image Compositing for Classification |
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219 | (6) |
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Classification of Texture |
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224 | (1) |
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Compositing a Contour Map With a Digital Image |
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225 | (2) |
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Three-Dimensional Perspectives |
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227 | (6) |
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233 | (1) |
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How Do I Reproduce Results in This Chapter, or Pursue My Own Ideas... |
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234 | (5) |
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234 | (3) |
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237 | (2) |
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239 | (2) |
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240 | (1) |
Epilogue |
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241 | (6) |
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241 | (1) |
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241 | (2) |
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Is Kriging the Best Spatial Interpolation Method? |
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243 | (1) |
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The Robustness of Kriging |
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244 | (3) |
Appendices |
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247 | (12) |
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A Critical Values of the Chi-Square Distribution |
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248 | (3) |
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B Critical Values of Squared Correlation Coefficient, p-plot |
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251 | (2) |
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C Critical Values of F Distribution |
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253 | (4) |
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D Critical Values of t Distribution |
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257 | (2) |
Bibliography |
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259 | (4) |
Index |
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263 | |