名称：

Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods (Hardcover) (2000)
by Zaven A. Karian (Author), Edward J. Dudewicz (Author)

Amazon介绍：

http://www.amazon.com/Fitting-Statistical-Distributions-Generalized-Distribution/dp/1584880694/ref=sr_1_1/002-2197334-9304058?ie=UTF8&s=books&qid=1173559310&sr=8-1

大小：435页，3.22MB

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目录：（下面的由于是从djvu文件中OCR所得，有很多单词中间出现了不必要的空格，但是让打算购买的板油判断清楚这是不是他们要的书应该没什么问题）

Contents

Preface

About the Authors

Dedication

1 The Generalized Lambda Family of Distributions

1.1 History and Background

1.2 Definition of the Generalized Lambda Distributions

1.3 The Parameter Space of the GLD

1.4 Shapes of the GLD Density Functions

1.5 GLD Random Variate Generation

Problems for Chapter 1

2 Fitting Distributions and Data with

the GLD via the Method of Moment s

2.1 The Moments of the GLD Distribution

2.2 The (0:5,0:4 )-Space Covered by the GLD Family

2.3 Fitting the GLD Through the Method of Moment s

2. Fitting through Direct Computation

2 . :~ .2 Fitting by the Use of Tables

2.3.3 Limitations of the Method of Moment s

2.1 GLD Approximations of Some Well-Known Distributions

2..1 .1 The Normal Distribution

2..1 .2 The Uniform Distribution

2.4.3 The Student 's t Distribution

2.4.4 The Exponential Distribution

2.4.5 The Chi-Square Distribution

204.6 The Gamma Distribution

204.7 The Weibull Distribution

204.8 The Lognormal Distribution

204.9 The Beta Distribution

204 .10 The Inverse Gaussian Distribution

204.11 The Logistic Distribution

2.4 .12 The Largest Extreme Value Distribution

204. 1 :~ The Extreme Value Distribution

2.4 .14 The Double Exponent ial Distribution

204.15 The F-Distribution

204.16 The Pareto Dist ribution

204 .17 Summary of Distributions and their GLD fi ts

2.5 Examples: GLD Fits of Dat a, Method of Moment s

V).l Assessment of Good ness-of-F it

2.5.2 Example: Cadmium in Horse Kidneys

2..5.3 Example: Brain (Left Thalamus) MRI Scan Dat a

2.504 Example: Human Twin Dat a for Quant ifying Genet ic

{vs. Environmental ) Variance

2..5.5 Example: Rainfall Distributions

2.6 Moment-Based GLD Fit to Dat a from a Histogram

2.7 The GLD and Design of Experiment s

Problems for Chapter 2

3 T he Extended GLD System, t he EGLD:

Fitting by t he Met.hod of Moments

:U The Beta Distribution and its Moments

3.2 The Generalized Beta Distribution and its Moments

:3.3 Estim ation of GBD(t31 ' ,132,,133, ,134) Paramete rs

3.4 GBD Approximat ions of Some Well-Known Distributions

3.4 .1 The Normal Distribution

304.2 The Uniform Distribution

3.4.3 The Student's t Distribution

30404 The Exponential Distribution

304.5 The Chi-Square Distribution

304.6 The Gamma Distribution

304.7 The \Veibull Distribution

304.8 The Lognormal Distribution

3.4.9 The Beta Distribution

304.10 The Inverse Gaussian Distribut ion

3..5.3

:1.5.4

:L5.5

ao4. ll The Logist ic Distribution

ao4.12 The Largest Extreme Value Distribution

304 .13 The Ext reme Value Distribution

ao4.14 The Double Exponent ial Distribution

:t1 .1.5 The F-Distribution

304.1G The Pareto Distribution

:L5 Exam ples: GBD Fit s of Dat a, Met hod of Moment s

a.5. 1 Example: Fit ting a GBD to Simulated Dat a

from GBD(:l , 5, 0, - 0.5)

3..5.2 Example: Fitt ing a GBD to Dat a Simulated

from GBD(2, 7, 1,4)

Example: Cadmium in Horse Kid neys

Example: Rainfall Dat a of Sect ion 2.5.5

Example: Tree Stand Height s and Diamet ers

in Forest ry

:UJ EGLD Random Vari ate Generation

P roblems for Chap ter 3

4 A Per cent ile-Ba sed Approach to F itting

Distrib ut io ns a nd Data wit h t he G LD

4. 1 The Use of Percent iles

4.2 The (P3, P4)-space of GLD(.\ I, '\ 2, '\3, '\4)

4.3 Estimat ion of GLD Parameters Through a Met hod of Percent

iles

404 GLD Approximat ions of Some Well-Known Distributions

404 .1 The Normal Dist ribution

404.2 The Uniform Dist ribution

404.3 The Student 's t Distribution

40404 The Exponential Distribution

404.5 The Ch i-Square Distribution

404.6 The Gamma Distribution

404 .7 The Welbull Distribution

404.8 The Lognormal Distribution

404.9 The Bet a Distribution

404.10 The Inverse Gaussian Dist ribution

404 .11 The Logist ic Distribution

404.12 The Largest Extreme Value Distribution

404 .13 The Ext reme Value Distribution

404.14 The Double Exponent ial Distribution

404.15 The F-Dist rib ution

404.1G The Pareto Distribution

4.4.17 Summary of Distribution Approximations

4.5 Comparison of the Moment and Percent ile Methods

4.6 Examples: GLD Fits of Dat a via the Method of Percent iles

4.6.1 Example : Dat a from the Cauchy Distribution

4.G.2 Dat a on Radiation in Soil Samples

4.6.:{ Data on Velocit ies with in Galaxies

4.Go4 Rainfall Dat a of Sections 2.5.5 and :~.504

4.7 Percent ile-Based GLD Fit of Dat a from a Histogram

Problems for Chapt er 4

5 GLD-2: The Bi varia te G LD Di st rib ution

5.1 Overview

.5.2 Placket t's Method of Bivariate d.f Constr uct ion: The GLD- 2

5. :~ Fit ting the GLD- 2 to Well-Known Bivariate Distributions

5.:U The Bivariat e Normal (BVN) Distribution

5.:t 2 Gumbel' s Biva riat e Exponent ial Type I (BVE)

s.s.a Bivariat e Cauchy (BVC)

5.:t 4 Kibble's Bivariate Gamma (BVG)

504 GLD-2 Fit s: Distributions with Non-Ident ical Marginals

5.4.1 Bivariate Gamma BVG with Non-Ident ical Marginals

504 .2 Bivariat e with Normal and Cauchy Marginals

504.a Bivariate with Gamma and "Backwards Gamma" Marginals

.5 ..5 Fit t ing GLD- 2 to Dataset s

5.5.1 Algorithm for Fi tting the GLD- 2 to Data

5..5.2 Example: Human Twin Dat a of Section 2.5.4

5.5.a Example: The Rainfall Distributions of Section 2.5.5

5.504 Example: The Tree Stand Dat a of Sect ion :~.5.5

.5.6 GLD- 2 Random Variat e generation

5.7 Conclusions and Research P roblems Regarding GLD- 2

Problems for Chapter 5

6 T he Ge neralized Boot st rap (GB) and Monte Car lo (M'C )

Metho ds

Ii.I The Generalized Boot str ap (GB) Method

6.2 Comparisons of the GB and B1\1 Methods

Problems for Chapter G

Appendices

A Programs for Fitt ing the GLD, GBD, and GLD-2

A.l General Utility Programs

A.2 GLD Parameter Est imat ion: Method of Moment s

A.3 GBD Parameter Est imat ion: Method of Moment s

AA GLD Parameter Estimati on: Method of Percent iles

A.5 Programs for GLD-2 Fitting

B Table B-1 for GLD Fit s: Method of Moment s

C Table C- l for GBD Fits: Method of Moments

D Tables for GLD Fits: Method of Percent iles

E The Normal Distribution

References and Author Index

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