StatisticalModelsandMethodsforLifetimeData

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Statistical Models and Methods

for Lifetime Data

Second Edition

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CONTENTS

Ohscrvation

Sche

llJ

cs, Censo

1"Î

ng,

and

LiI{elihood

2.1

Introdllctic

啊.

2.2 Right Cemoring and Maximum

Iihood, 52

2.2.1

Som

巳

Types

Right Censoring, 52

2.2.2 A

巳

ral

Formulation

Right

巳 nsoring

，

2.2.3

kelihood

Infer

巳

with

Censor

巳

Data,

2.3

加巧

S 0

Incomple

叫

以

2.3.1

Int

巳

rmitt

巳

Obs

巳

rvation

and Interval

巳

nsoring

，

2.3.2

ble

巳 nsoring

，

2.3.3

Rl~marks

Missing Data, 66

TJ'U ncation and Selection Effects,

2.4.1

Dnlaycd Entry and

巳

Truncation, 67

.2'

Rc!trosp

巳

ctiv

巳

Observation

and

Sel

巳

ction

Effects, 70

2.5 Jnformatioll

ancl

巳

sign

Iss

可邸，

ßibliogmphic

Not~s

，

Problems and

Supple

ll1巳

nts

，

, Some

Nonl)arm

ll'

~tric

and

Graphical

Procedures

3.1

Introductio

飞

3.2 Nnnparam

tric Estimation

a S

rvivor Function and

Quantiles

, 80

3.2.1

‘巳

Product-

mit

Estima

旬，

3.2.2

丁

Nelson-Aalen

Estimat

巳，

.~.2.3

Inferval Estímatíon

Survíval

Probabiliti

巳

01'

anlil

邸，

3.2

A, ymptotic

Prope

巳吕

Estimat

Ol飞

3.3 Descriplive and Diagnostic Plots, 98

3.3.1

门

lnvolving S

rvivor 0

Cumulativ

巳

I-

l!:

zard Functio

s, 98

C1.

lssic Probability Plots,

108

Estimatioll ,

Haznrd 0

巳

nsity

Functions, J 09

, Gêneral Remarks, J 09

SO'

e Simple Procedllres and

ExampJe, J

3.5

JVl

ethods fo' Truncated and IntervaJ Censored

Dat

且，

115

3.5.1

巳

:'t-Tnmcnted

Dntn

116

3.5.2

Right-Trllncat

巳 d

Data,

120

3.5.3 lnt !rval-Censored Data, 124

CONTENTS

3.6 Life

Tab1es

, 128

3.6

Standard

fe Table Methods,

128

3.6.2 Theory for

fe Table Methodology, 132

Bibliographic Notes, 136

Computational

Not

邸，

138

Probl 巳

and Supplements, 139

Inference

Procedures

for

Parametric

Models

4.1

Infer

巳

nce

Proc

巳

dur

巳

forExpon

巳

ntial

Distributions, J 47

1.1

Methods Based on Large-Sample

Theo

巧，

148

2 Exact Methods for

巳

rtain

Life

剿，

152

4.1

Comparison

Distributions, 154

.1.4

Planning

Experim

巳

nts

fe Tests, 157

4.2

Inferenc

巳

Procedures

for Some

Oth

巳

Models, 164

4.2.1"

巳

Gamma

Distribution, 164

4.2.2 The

lnv

巳

rse

Gaussian Distribution, 170

4.2

Mod

巳

with

Polynomial-Bas

巳

Hazard Functions, 172

4.3

Group

巳

，

Interval

巳

nsored

，

Truncat

巳

Data, 174

4.3.1

Group

巳

fetim

巳

，

174

4.3.2

Int

巳 rva1-C巳

nsored

Data, 176

4.3.3 Truncated Data, 177

Mixture Models,

181

4.5 Threshold

Param

巳

ters

，

185

4.5

General Remarks, 186

4.5.2

The

Thr

巳巳

-Parameter

Weibull Distribution, 187

巳虫1V

0-Paramet

巳

Exponential Distribution, 190

4.6

巳

diction

lntervals, 194

Bibliographic

Not

巳

，

200

Computational Notes, 201

Problems and

Suppl

巳

ments

，

202

147

扩

ference

Procedures

for Log-Location-Scale Di

stributions

211

5.1

Infer

巳

for

Location-Scale Distributions, 211

1.1

kelihood-Bas

巳

如

1ethods

，

212

2 Exact Procedures Under

巳

Censori

吨，

217

5.2 Weibu

lI and Extreme-Value

Dì

stributions, 218

5.2

.Ì

Likelihood-Bas

巳

Infer

巳

nce

Procedures, 218

5.2.2 Exact Confidence Intervals

Und

巳

pe 2

Censorir

毡，

223

5.3 Log-Normal and Log-Logistic

Dì

stributions, 230

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