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xi | |
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xv | |
Preface |
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xix | |
Acknowledgments |
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xxi | |
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1 | (22) |
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Hydrologic Frequency Analysis |
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1 | (1) |
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General Aspects and Approaches |
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1 | (3) |
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4 | (2) |
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Return Period, Probability, and Plotting Positions |
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6 | (2) |
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8 | (2) |
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10 | (1) |
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11 | (1) |
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12 | (11) |
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Test for Independence and Stationarity |
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13 | (1) |
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Homogeneity and Stationarity Tests |
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14 | (2) |
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16 | (7) |
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Selection and Evaluation of Parent Distributions: Conventional Moments |
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23 | (30) |
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Moments of Distributions and Their Sample Estimates |
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23 | (3) |
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Moment Ratio Diagrams (MRDs) |
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26 | (10) |
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36 | (2) |
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Selection of Distributions |
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38 | (9) |
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41 | (2) |
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43 | (4) |
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Regional Homogeneity and Regionalization |
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47 | (6) |
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Selection and Evaluation of Parent Distributions: Probability Weighted Moments and L--Moments |
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53 | (20) |
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Moments of Distributions and Their Sample Estimates |
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53 | (3) |
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56 | (5) |
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61 | (3) |
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61 | (1) |
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Regional Homogeneity Tests |
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62 | (2) |
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64 | (9) |
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Data and Preliminary Analysis |
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64 | (1) |
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65 | (4) |
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Regional Quantile Estimates |
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69 | (4) |
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Parameter and Quantile Estimation |
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73 | (10) |
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73 | (1) |
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73 | (3) |
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74 | (1) |
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Method of Maximum Likelihood (MLM) |
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75 | (1) |
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Method of Probability Weighted Moments (PWM) |
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75 | (1) |
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76 | (1) |
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77 | (6) |
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Standard Error in the MOM |
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78 | (2) |
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Standard Error in the MLM |
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80 | (1) |
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Standard Error in the PWM |
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81 | (2) |
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Normal and Related Distributions |
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83 | (44) |
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83 | (13) |
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83 | (2) |
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85 | (1) |
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85 | (1) |
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Maximum Likelihood (ML) Method |
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86 | (1) |
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87 | (3) |
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90 | (2) |
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92 | (1) |
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92 | (1) |
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92 | (2) |
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94 | (2) |
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Two-Parameter Lognormal (LN(2)) Distribution |
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96 | (11) |
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96 | (1) |
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97 | (1) |
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97 | (1) |
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Maximum Likelihood (ML) Method |
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98 | (1) |
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99 | (2) |
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101 | (2) |
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103 | (1) |
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103 | (1) |
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104 | (3) |
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Three-Parameter Lognormal (LN(3)) Distribution |
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107 | (20) |
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107 | (2) |
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109 | (1) |
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109 | (1) |
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The Maximum Likelihood (ML) Method |
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110 | (2) |
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112 | (3) |
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115 | (2) |
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117 | (1) |
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117 | (2) |
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119 | (8) |
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127 | (80) |
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127 | (13) |
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127 | (1) |
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128 | (1) |
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128 | (2) |
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Maximum Likelihood (ML) Method |
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130 | (1) |
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131 | (2) |
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133 | (2) |
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135 | (1) |
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135 | (1) |
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136 | (1) |
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137 | (3) |
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Two-Parameter Gamma (G(2)) Distribution |
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140 | (14) |
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140 | (1) |
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141 | (1) |
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141 | (1) |
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Maximum Likelihood (ML) Method |
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142 | (2) |
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144 | (2) |
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146 | (4) |
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150 | (1) |
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150 | (1) |
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150 | (4) |
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154 | (16) |
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154 | (2) |
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156 | (1) |
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156 | (1) |
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Maximum Likelihood (ML) Method |
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157 | (2) |
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159 | (4) |
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163 | (2) |
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165 | (1) |
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165 | (1) |
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165 | (5) |
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Log-Pearson (3) Distribution |
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170 | (21) |
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170 | (4) |
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Studies on Skewness Coefficients |
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174 | (1) |
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175 | (1) |
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175 | (1) |
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Maximum Likelihood (ML) Method |
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176 | (1) |
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177 | (4) |
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181 | (2) |
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183 | (1) |
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183 | (3) |
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186 | (5) |
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U.S. Water Resources Council Method (WRCM) |
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191 | (16) |
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191 | (1) |
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Frequency Analysis Procedure by the WRCM |
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192 | (7) |
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199 | (1) |
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200 | (7) |
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Extreme Value Distributions |
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207 | (52) |
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Generalized Extreme Value (GEV) Distribution |
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207 | (22) |
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208 | (1) |
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208 | (4) |
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Maximum Likelihood (ML) Method |
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212 | (4) |
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216 | (5) |
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221 | (1) |
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222 | (1) |
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222 | (1) |
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223 | (2) |
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225 | (4) |
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The Extreme Value Type I EV(1) Distribution |
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229 | (12) |
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232 | (1) |
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232 | (1) |
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Maximum Likelihood (ML) Method |
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232 | (2) |
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234 | (2) |
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236 | (2) |
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238 | (1) |
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238 | (1) |
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239 | (1) |
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240 | (1) |
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241 | (18) |
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243 | (1) |
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243 | (2) |
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Maximum Likelihood (ML) Method |
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245 | (1) |
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246 | (3) |
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249 | (2) |
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251 | (1) |
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251 | (1) |
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251 | (8) |
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259 | (32) |
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The Five-Parameter Wakeby Distribution (WAK(5)) |
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259 | (8) |
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259 | (1) |
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260 | (5) |
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265 | (1) |
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265 | (2) |
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The Four-Parameter Wakeby Distribution (WAK(4)) |
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267 | (4) |
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267 | (1) |
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267 | (2) |
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269 | (2) |
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271 | (1) |
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The Generalized Pareto Distribution |
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271 | (20) |
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271 | (1) |
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272 | (1) |
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272 | (3) |
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Maximum Likelihood (ML) Method |
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275 | (2) |
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277 | (4) |
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281 | (3) |
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284 | (1) |
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284 | (1) |
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285 | (1) |
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285 | (6) |
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The Logistic Distribution |
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291 | (32) |
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291 | (11) |
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291 | (1) |
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291 | (1) |
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291 | (1) |
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Maximum Likelihood (ML) Method |
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292 | (2) |
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294 | (3) |
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297 | (1) |
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298 | (1) |
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298 | (1) |
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299 | (1) |
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300 | (2) |
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Generalized Logistic Distribution |
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302 | (21) |
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302 | (2) |
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304 | (1) |
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304 | (2) |
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Region I: -10 < Cs < 10; -1/3 < k < 1/3 |
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306 | (1) |
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Region II: 0 < Cs < 10; 1/3 < k < 1/2 |
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306 | (1) |
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Region III: -10 < Cs < 0; -1/2 < k < -1/3 |
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306 | (1) |
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The Maximum Likelihood (ML) Method |
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307 | (4) |
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311 | (3) |
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314 | (2) |
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316 | (1) |
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316 | (1) |
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317 | (6) |
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323 | (4) |
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323 | (1) |
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323 | (4) |
References |
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327 | (16) |
Index |
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343 | |