Ordre Nouveau, 272

Overreporting (of insurance claims), 75

Oxford University, 273, 274

Sample quantiles, 33

Scienti¬c publications, number of, 2

Sech-square distribution, 241

Panel Study of Income Dynamics (PSID),

Self-symmetry (of Lorenz curves), see

277

Lorenz curve, self-symmetric

Paralogistic distribution, 198

Singh-Maddala distribution, 14, 29, 52, 57,

Parameter orthogonality, 119, 225

Pareto™s a, 47, 48, 98, 241, 246 60, 186, 197“212, 285, 286

¬ttings of, 209, 210

Pareto diagram, 7, 97, 99

multivariate, 211

Pareto distribution, 2, 6, 7, 15, 16, 23, 24,

Socio-Economic Panel (SOEP), 277

43, 45, 46, 50, 51, 53“57, 59“94,

Spacings, 74

149, 238, 239, 283

Stable distribution, 13, 68, 73, 101“103,

¬ttings, 91“94

244

generalized, 103, 105, 106

Star-shaped ordering, 25, 116, 173

log-adjusted, 99, 100

Stationary distribution, 15, 16

three-parameter, 60

Steady-state solution, 14

Pareto (II) distribution, see Lomax

Stochastic dominance

distribution

¬rst-order (FSD), 71, 206, 216

Pareto family of Lorenz curves, 28

second-order (SSD), 25

Pareto-lognormal distribution, 105, 106

Stochastic process models:

Pareto optimality, 255

Angle (inequality process), 162, 163

Pearson system, 14, 49“51

Champernowne, 15, 16, 65“67

Pearson type V distribution, 10, 11

Gibrat (law of proportionate effect), 14,

Pearson type III distribution, 10, 11, 160

15, 108

People curve, 22

Stoppa distribution, 14, 53, 94“97, 283

People™s Republic of China, 2

Stoppa system, 52, 53

Perks distributions, 54, 240

Strong Pareto law, 47

Pietra coef¬cient, 31, 37, 78, 117, 120, 136,

Strongest Pareto law, 62

164, 193, 206, 232

Subexponentiality, 249

Planck™s law of radiation, 238, 239

Surplus wealth, 162

Pochhammer™s symbol, 139, 151, 287

Symmetry (of Lorenz curves), 23, 24, 116,

Power function distribution, 53, 73, 75, 149

205, 216

Power transformation, 72, 113, 189

Systems of distributions, 49“54

Premium principles, actuarial, 103

Prize-competition distribution, 103, 104,

133

Probability weighted moments (PWM), see Tail behavior, 48, 49

Estimation, probability weighted Takahasi-Burr distribution, 211

moments Talent, 11, 62, 63

Proportional failure rate (PFR), 199, 200 Theil coef¬cient(s), 31, 32, 78, 91, 117, 118,

Psychic income, 12 135, 136, 164, 232

Psychophysics, 110 Top-coding, 4

Total-time-on-test (TTT) transform, 23

Transition probabilities, 15, 66

Truncation, 74, 75

Quadratic elasticity distribution, 158, 159

Truncation invariance, 75

Quantile function, 20

332 SUBJECT INDEX

Turochamp, 274 Weak convergence, 32

Weak Pareto law, 47

Wealth, distribution of, 2, 5, 92, 93, 129,

UMVUE, see Estimation, uniformly 195

minimum variance unbiased Wealth data, see Data sources

Underreporting (of income), 75, 76, 142, Weber-Fechner law, 12, 110

143, 227 Weibull distribution, 57, 148, 174“178, 187,

Unimodality, 24, 77, 99, 113, 134 285

University of Bologna, 259, 265 ¬ttings of, 177, 178

University of Lausanne, 61, 254, 257, 260 Wolf point, 239

University of Turin, 253 Word frequencies, 2

World Wide Web, 2

Van der Wijk™s law, 12, 45, 73

Variance of logarithms, 31, 117, 119, 137, Yule distribution, 2

139, 143, 206

Villa Angora, 259, 260

Vinci distribution, see Inverse gamma Zandonatti distribution, 197

distribution Zenga curve, 42, 78, 118

Zenga coef¬cients, 42, 43, 78, 91, 96, 118,

217

Walras, Leon, 61, 254 Zenga ordering, 43, 118, 206, 217

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