| Preface |
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xv | |
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1 | (2) |
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3 | (14) |
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Probability, Random Variable, Variate, and Random Number |
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3 | (2) |
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Range, Quantile, Probability Statements and Domain, and Distribution Function |
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5 | (3) |
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Inverse Distribution and Survival Function |
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8 | (1) |
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Probability Density Function and Probability Function |
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9 | (2) |
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Other Associated Functions and Quantities |
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11 | (6) |
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General Variate Relationships |
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17 | (14) |
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17 | (1) |
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17 | (1) |
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One-to-One Transformations and Inverses |
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18 | (2) |
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Variate Relationships Under One-to-One Transformation |
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20 | (2) |
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Parameters, Variate, and Function Notation |
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22 | (2) |
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Transformation of Location and Scale |
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24 | (1) |
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Transformation from the Rectangular Variate |
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25 | (1) |
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Many-to-One Transformations |
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26 | (3) |
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Functions of Several Variates |
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29 | (2) |
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31 | (3) |
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32 | (1) |
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Curtailed Bernoulli Trial Sequences |
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32 | (1) |
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33 | (1) |
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33 | (1) |
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34 | (9) |
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Notes on Beta and Gamma Functions |
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35 | (2) |
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37 | (3) |
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40 | (1) |
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41 | (1) |
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Inverted Beta Distribution |
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41 | (1) |
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Noncentral Beta Distribution |
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42 | (1) |
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Beta Binomial Distribution |
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42 | (1) |
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43 | (5) |
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44 | (2) |
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46 | (1) |
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47 | (1) |
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48 | (4) |
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49 | (1) |
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49 | (1) |
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50 | (1) |
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50 | (2) |
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52 | (6) |
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53 | (4) |
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57 | (1) |
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57 | (1) |
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Chi-Squared (Noncentral) Distribution |
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58 | (4) |
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59 | (3) |
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62 | (3) |
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62 | (1) |
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Dirichlet Multinomial Distribution |
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63 | (2) |
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Empirical Distribution Function |
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65 | (6) |
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Estimation from Uncensored Data |
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65 | (1) |
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Estimation from Censored Data |
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66 | (1) |
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67 | (1) |
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67 | (2) |
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Graphical Method for the Modified Order-Numbers |
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69 | (1) |
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70 | (1) |
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71 | (3) |
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72 | (1) |
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73 | (1) |
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73 | (1) |
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74 | (3) |
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75 | (1) |
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76 | (1) |
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77 | (5) |
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79 | (1) |
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80 | (1) |
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81 | (1) |
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81 | (1) |
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82 | (3) |
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Members of the Exponential Family |
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82 | (1) |
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Univariate One-Parameter Exponential Family |
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82 | (2) |
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84 | (1) |
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Extreme Value (Gumbel) Distribution |
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85 | (5) |
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86 | (1) |
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86 | (3) |
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89 | (1) |
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89 | (1) |
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F (Variance Ratio) or Fisher-Snedecor Distribution |
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90 | (5) |
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91 | (4) |
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F (Noncentral) Distribution |
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95 | (3) |
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96 | (2) |
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98 | (8) |
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99 | (2) |
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101 | (1) |
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102 | (1) |
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Inverted Gamma Distribution |
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103 | (1) |
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Normal Gamma Distribution |
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103 | (1) |
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Generalized Gamma Distribution |
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104 | (2) |
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106 | (3) |
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107 | (1) |
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108 | (1) |
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108 | (1) |
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Hypergeometric Distribution |
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109 | (5) |
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111 | (1) |
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111 | (1) |
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112 | (1) |
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112 | (1) |
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Negative Hypergeometric Distribution |
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112 | (1) |
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Generalized Hypergeometric (Series) Distribution |
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113 | (1) |
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Inverse Gaussian (Wald) Distribution |
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114 | (3) |
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115 | (1) |
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116 | (1) |
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117 | (4) |
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118 | (2) |
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120 | (1) |
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120 | (1) |
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Logarithmic Series Distribution |
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121 | (3) |
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122 | (1) |
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122 | (2) |
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124 | (5) |
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126 | (1) |
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127 | (1) |
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128 | (1) |
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128 | (1) |
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129 | (5) |
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130 | (3) |
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133 | (1) |
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133 | (1) |
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134 | (3) |
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136 | (1) |
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136 | (1) |
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Multivariate Normal (Multinormal) Distribution |
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137 | (3) |
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138 | (1) |
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139 | (1) |
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Negative Binomial Distribution |
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140 | (5) |
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142 | (1) |
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142 | (2) |
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144 | (1) |
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144 | (1) |
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Normal (Gaussian) Distribution |
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145 | (6) |
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146 | (4) |
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150 | (1) |
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150 | (1) |
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151 | (4) |
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153 | (1) |
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153 | (1) |
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154 | (1) |
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154 | (1) |
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155 | (6) |
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157 | (1) |
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157 | (3) |
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160 | (1) |
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160 | (1) |
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Power Function Distribution |
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161 | (4) |
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162 | (2) |
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164 | (1) |
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164 | (1) |
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Power Series (Discrete) Distribution |
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165 | (2) |
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166 | (1) |
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166 | (1) |
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166 | (1) |
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167 | (3) |
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168 | (1) |
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169 | (1) |
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Rectangular (Uniform) Continuous Distribution |
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170 | (5) |
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171 | (3) |
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174 | (1) |
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174 | (1) |
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Rectangular (Uniform) Discrete Distribution |
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175 | (3) |
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176 | (1) |
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177 | (1) |
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178 | (6) |
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180 | (3) |
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183 | (1) |
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Student's t (Noncentral) Distribution |
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184 | (3) |
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186 | (1) |
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187 | (2) |
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188 | (1) |
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188 | (1) |
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189 | (3) |
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190 | (1) |
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191 | (1) |
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191 | (1) |
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192 | (12) |
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193 | (1) |
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194 | (1) |
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194 | (2) |
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196 | (1) |
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Three-Parameter Weibull Distribution |
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196 | (1) |
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Three-Parameter Weibull Random Number Generation |
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197 | (1) |
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197 | (2) |
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Five-Parameter Bi-Weibull Distribution |
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199 | (3) |
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202 | (2) |
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Wishart (Central) Distribution |
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204 | (2) |
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205 | (1) |
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205 | (1) |
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206 | (4) |
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210 | (10) |
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Normal Distribution Function |
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211 | (1) |
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Percentiles of the Chi-Squared Distribution |
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212 | (2) |
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Percentiles of the F Distribution |
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214 | (4) |
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Percentiles of the Student's t Distribution |
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218 | (1) |
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Partial Expectations for the Standard Normal Distribution |
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219 | (1) |
| Bibliography |
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220 | |