Conditional specification of statistical models:
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| Previous Title: | Arnold, Barry C. Conditionally specified distributions |
|---|---|
| Main Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1999
|
| Series: | Springer series in statistics
|
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008619798&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XVI, 411 S. graph. Darst. |
| ISBN: | 0387987614 |
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MARC
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| 100 | 1 | |a Arnold, Barry C. |d 1939- |e Verfasser |0 (DE-588)111442435 |4 aut | |
| 245 | 1 | 0 | |a Conditional specification of statistical models |c Barry C. Arnold ; Enrique Castillo ; José María Sarabia |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1999 | |
| 300 | |a XVI, 411 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer series in statistics | |
| 650 | 4 | |a Distribution (Théorie des probabilités) | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 0 | 7 | |a Bedingte Wahrscheinlichkeitsverteilung |0 (DE-588)4294196-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistisches Modell |0 (DE-588)4121722-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Statistisches Modell |0 (DE-588)4121722-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Bedingte Wahrscheinlichkeitsverteilung |0 (DE-588)4294196-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Castillo, Enrique |d 1946- |e Verfasser |0 (DE-588)124179266 |4 aut | |
| 700 | 1 | |a Sarabia, José-Mariá |e Verfasser |4 aut | |
| 780 | 0 | 0 | |i Früher u.d.T. |a Arnold, Barry C. |t Conditionally specified distributions |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008619798&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008619798 | |
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| _version_ | 1820960298464444416 |
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CONTENTS
PREFACE
VII
1
CONDITIONAL
SPECIFICATION:
CONCEPTS
AND
THEOREMS
1
1.1
WHY
CONDITIONAL
SPECIFIED
MODELS?
.
1
1.2
HOW
MAY
ONE
SPECIFY
A
BIVARIATE
DISTRIBUTION?
.
2
1.3
EARLY
WORK
ON
CONDITIONALLY
SPECIFIED
MODELS
.
4
1.4
THE
CONDITIONAL
SPECIFICATION
PARADIGM
.
5
1.5
COMPATIBLE
CONDITIONALS:
FINITE
DISCRETE
CASE
.
5
1.6
COMPATIBILITY
IN
MORE
GENERAL
SETTINGS
.
8
1.7
UNIQUENESS
.
U
1.8
CONDITIONALS
IN
PRESCRIBED
FAMILIES
.
12
1.9
AN
EXAMPLE
.
14
1.10
BIBLIOGRAPHIE
NOTES
.
16
EXERCISES
.
16
2
EXACT
AND
NEAR
COMPATIBILITY
19
2.1
INTRODUCTION
.
19
2.2
REVIEW
AND
EXTENSIONS
OF
COMPATIBILITY
RESULTS
.
19
2.3
NEAR
COMPATIBILITY
.
30
2.4
MINIMAL
INCOMPATIBILITY
IN
TERMS
OF
KULLBACK-LEIBLER
PSEUDO-DISTANCE
.
31
2.5
MORE
THAN
ONE
EXPERT
.
36
2.6
RELATED
DISCREPANCY
MEASURES
.
37
2.7
MARKOVIAN
MEASURES
OF
DISCREPANCY
.
41
2.8
C-COMPATIBILITY
.
43
2.9
EXTENSIONS
TO
MORE
GENERAL
SETTINGS
.
50
2.10
BIBLIOGRAPHIE
NOTES
.
50
EXERCISES
.
51
3
DISTRIBUTIONS
WITH
NORMAL
CONDITIONALS
53
3.1
INTRODUCTION
.
53
XII
CONTENTS
3.2
VARIATIONS
ON
THE
CLASSICAL
BIVARIATE
NORMAL
THEME
.
53
3.3
NORMAL
CONDITIONALS
.
55
3.4
PROPERTIES
OF
THE
NORMAL
CONDITIONALS
DISTRIBUTION
.
59
3.5
THE
CENTERED
MODEL
.
65
3.6
BIBLIOGRAPHIE
NOTES
.
72
EXERCISES
.
72
4
CONDITIONALS
IN
EXPONENTIAL
FAMILIES
75
4.1
INTRODUCTION
.
75
4.2
DISTRIBUTIONS
WITH
CONDITIONALS
IN
GIVEN
EXPONENTIAL
FAMILIES
.
75
4.3
DEPENDENCE
IN
CEF
DISTRIBUTIONS
.
78
4.4
EXPONENTIAL
CONDITIONALS
.
80
4.5
NORMAL
CONDITIONALS
.
82
4.6
GAMMA
CONDITIONALS
.
83
4.7
WEIBULL
CONDITIONALS
.
88
4.8
GAMMA-NORMAL
CONDITIONALS
.
89
4.9
POWER-FUNCTION
AND
OTHER
WEIGHTED
DISTRIBUTIONS
AS
CONDITIONALS
.
90
4.10
BETA
CONDITIONALS
.
93
4.11
INVERSE
GAUSSIAN
CONDITIONALS
.
94
4.12
THREE
DISCRETE
EXAMPLES
(BINOMIAL,
GEOMETRIE,
AND
POISSON)
.
95
4.13
POISSON-GAMMA
CONDITIONALS
.
97
4.14
BIBLIOGRAPHIE
NOTES
.
99
EXERCISES
.
99
5
OTHER
CONDITIONALLY
SPECIFIED
FAMILIES
103
5.1
INTRODUCTION
.
103
5.2
BIVARIATE
DISTRIBUTIONS
WITH
PARETO
CONDITIONALS
.
104
5.3
PEARSON
TYPE
VI
CONDITIONALS
.
107
5.4
BIVARIATE
DISTRIBUTIONS
WITH
GENERALIZED
PARETO
CONDITIONALS
.
109
5.5
BIVARIATE
DISTRIBUTIONS
WITH
CAUCHY
CONDITIONALS
.
116
5.6
BIVARIATE
DISTRIBUTIONS
WITH
STUDENT-T
CONDITIONALS
.
122
5.7
BIVARIATE
DISTRIBUTIONS
WITH
UNIFORM
CONDITIONALS
.
123
5.8
POSSIBLY
TRANSLATED
EXPONENTIAL
CONDITIONALS
.
124
5.9
BIVARIATE
DISTRIBUTIONS
WITH
SCALED
BETA
CONDITIONALS
.
.
.
125
5.10
WEIBULL
AND
LOGISTIC
CONDITIONALS
.
126
5.11
MIXTURES
.
128
5.12
BIBLIOGRAPHIE
NOTES
.
129
EXERCISES
.
129
6
IMPROPER
AND
NONSTANDARD
MODELS
133
6.1
INTRODUCTION
.
133
CONTENTS
XIII
6.2
LOGISTIC
REGRESSION
.
134
6.3
UNIFORM
CONDITIONALS
.
135
6.4
EXPONENTIAL
AND
WEIBULL
CONDITIONALS
.
135
6.5
MEASUREMENT
ERROR
MODELS
.
136
6.6
STOCHASTIC
PROCESSES
AND
WOEHLER
FIELDS
.
136
6.7
PHYSICAL
INTERPRETATIONS
OF
THE
MODEL
PARAMETERS
.
144
6.8
BIBLIOGRAPHIE
NOTES
.
145
EXERCISES
.
145
7
CHARACTERIZATIONS
INVOLVING
CONDITIONAL
MOMENTS
147
7.1
INTRODUCTION
.
147
7.2
MARDIA
'
S
BIVARIATE
PARETO
DISTRIBUTION
.
148
7.3
LINEAR
REGRESSIONS
WITH
CONDITIONALS
IN
EXPONENTIAL
FAMILIES
.
149
7.4
LINEAR
REGRESSIONS
WITH
CONDITIONALS
IN
LOCATION
FAMILIES
.
150
7.5
SPECIFIED
REGRESSIONS
WITH
CONDITIONALS
IN
SCALE
FAMILIES
.
152
7.6
CONDITIONALS
IN
LOCATION-SCALE
FAMILIES
WITH
SPECIFIED
MOMENTS
.
153
7.7
GIVEN
ONE
CONDITIONAL
DISTRIBUTION
AND
THE
OTHER
REGRESSION
.
155
7.8
CONDITIONAL
MOMENTS
ONLY
GIVEN
.
169
7.9
BIBLIOGRAPHIE
NOTES
.
170
EXERCISES
.
170
8
MULTIVARIATE
EXTENSIONS
175
8.1
INTRODUCTION
.
175
8.2
EXTENSION
BY
UNDERLINING
.
175
8.3
COMPATIBILITY
IN
THREE
DIMENSIONS
.
176
8.4
COMPATIBILITY
IN
HIGHER
DIMENSIONS
.
177
8.5
CONDITIONALS
IN
PRESCRIBED
FAMILIES
.
177
8.6
CONDITIONALS
IN
EXPONENTIAL
FAMILIES
.
178
8.7
MULTIVARIATE
EXPONENTIAL
CONDITIONALS
DISTRIBUTION
.
179
8.8
MULTIVARIATE
NORMAL
CONDITIONALS
DISTRIBUTION
.
180
8.9
MULTIVARIATE
CAUCHY
CONDITIONALS
DISTRIBUTION
.
181
8.10
MULTIVARIATE
UNIFORM
CONDITIONALS
DISTRIBUTION
.
181
8.11
MULTIVARIATE
PARETO
CONDITIONALS
DISTRIBUTION
.
182
8.12
MULTIVARIATE
BETA
CONDITIONALS
DISTRIBUTION
.
183
8.13
MULTIVARIATE
BINOMIAL
CONDITIONALS
DISTRIBUTION
.
185
8.14
FUERTHER
EXTENSION
BY
UNDERLINING
.
185
8.15
CHARACTERIZATION
OF
MULTIVARIATE
NORMALITY
.
186
8.16
MULTIVARIATE
NORMALITY
IN
MORE
ABSTRACT
SETTINGS
.
190
8.17
CHARACTERIZING
MARDIA
'
S
MULTIVARIATE
PARETO
DISTRIBUTION
.
191
8.18
BIBLIOGRAPHIE
NOTES
.
193
XIV
CONTENTS
EXERCISES
.
194
9
ESTIMATION
IN
CONDITIONALLY
SPECIFIED
MODELS
197
9.1
INTRODUCTION
.
197
9.2
THE
UBIQUITOUS
NORMING
CONSTANT
.
197
9.3
MAXIMUM
LIKELIHOOD
.
198
9.4
PSEUDOLIKELIHOOD
INVOLVING
CONDITIONAL
DENSITIES
.
204
9.5
MARGINAL
LIKELIHOOD
.
207
9.6
AN
EFFICIENCY
COMPARISON
.
207
9.7
METHOD
OF
MOMENTS
ESTIMATES
.
210
9.8
LOG-LINEAR
POISSON
REGRESSION
ESTIMATES
.
217
9.9
BAYESIAN
ESTIMATES
.
219
9.10
MULTIVARIATE
EXAMPLES
.
222
9.11
BIBLIOGRAPHIE
NOTES
.
225
EXERCISES
.
225
10
MARGINAL
AND
CONDITIONAL
SPECIFICATION
IN
GENERAL
229
10.1
INTRODUCTION
.
229
10.2
SPECIFYING
BIVARIATE
DENSITIES
.
229
10.3
TO
HIGHER
DIMENSIONS
WITH
CARE
.
235
10.4
CONDITIONAL/MARGINAL
SPECIFICATION
IN
K
DIMENSIONS
.
236
10.5
CHECKING
UNIQUENESS
.
238
10.6
CHECKING
COMPATIBILITY
.
240
10.7
OVERSPECIFICATION
.
246
10.8
MARGINALS
AND
CONDITIONALS
IN
SPECIFIED
FAMILIES
.
246
10.9
XI
GIVEN
.
248
10.10
XJJ)
GIVEN
X
T
.
248
10.11
THE
CASE
OF
X
GIVEN
Y,
Y
GIVEN
Z,
AND
Z
GIVEN
X
.
.
.
251
10.12
LOGISTIC
REGRESSION
MODELS
.
252
10.13
BIBLIOGRAPHIE
NOTES
.
253
EXERCISES
.
253
11
CONDITIONAL
SURVIVAL
MODELS
255
11.1
INTRODUCTION
.
255
11.2
CONDITIONAL
SURVIVAL
IN
THE
BIVARIATE
CASE
.
256
11.3
CONDITIONAL
SURVIVAL
FUNCTIONS
IN
PARAMETRIC
FAMILIES
.
.
.
257
11.4
EXAMPLES
OF
DISTRIBUTIONS
CHARACTERIZED
BY
CONDITIONAL
SURVIVAL
.
261
11.5
MULTIVARIATE
EXTENSIONS
.
264
11.6
CONDITIONAL
DISTRIBUTIONS
.
265
11.7
CONDITIONAL
PROPORTIONAL
HAZARDS
.
267
11.8
CONDITIONAL
ACCELERATED
FAILURE
.
269
11.9
AN
ALTERNATIVE
SPECIFICATION
PARADIGM
.
271
11.10
BIBLIOGRAPHIE
NOTES
.
274
EXERCISES
.
274
CONTENTS
XV
12
APPLICATIONS
TO
MODELING
BIVARIATE
EXTREMES
275
12.1
INTRODUCTION
.
275
12.2
UNIVARIATE
AND
BIVARIATE
GUMBEL
DISTRIBUTIONS
.
276
12.3
CONDITIONALLY
SPECIFIED
BIVARIATE
GUMBEL
DISTRIBUTIONS
.
.
277
12.4
POSITIVE
OR
NEGATIVE
CORRELATION
.
282
12.5
DENSITY
CONTOURS
.
282
12.6
MAXIMAL
WIND
SPEEDS
.
287
12.7
MORE
FLEXIBILITY
NEEDED
.
290
12.8
BIBLIOGRAPHIE
NOTE
.
291
EXERCISES
.
S
.
291
13
BAYESIAN
ANALYSIS
USING
CONDITIONALLY
SPECIFIED
MODELS
293
13.1
INTRODUCTION
.
293
13.2
MOTIVATION
FROM
A
NORMAL
EXAMPLE
.
294
13.3
PRIORS
WITH
CONVENIENT
POSTERIORS
.
295
13.4
CONJUGATE
EXPONENTIAL
FAMILY
PRIORS
FOR
EXPONENTIAL
FAMILY
LIKELIHOODS
.
299
13.5
CONDITIONALLY
SPECIFIED
PRIORS
.
301
13.6
NORMAL
DATA
.
304
13.7
PARETO
DATA
.
312
13.8
INVERSE
GAUSSIAN
DATA
.
317
13.9
RATIOS
OF
GAMMA
SCALE
PARAMETERS
.
318
13.10
COMPARISON
OF
NORMAL
MEANS
.
322
13.11
REGRESSION
.
327
13.12
THE
2X2
CONTINGENCY
TABLE
.
330
13.13
MULTINOMIAL
DATA
.
331
13.14
CHANGE
POINT
PROBLEMS
.
332
13.15
BIVARIATE
NORMAL
.
333
13.16
NO
FREE
LUNCH
.
334
13.17
BIBLIOGRAPHIE
NOTES
.
334
EXERCISES
.
334
14
CONDITIONAL
VERSUS
SIMULTANEOUS
EQUATION
MODELS
337
14.1
INTRODUCTION
.
337
14.2
TWO
SUPERFICIALLY
SIMILAR
MODELS
.
338
14.3
GENERAL
CS
AND
SE
MODELS
.
339
14.4
LINEAR
NORMAL
MODELS
.
340
14.5
NONLINEAR
NORMAL
MODELS
.
344
14.6
PARETO
CS
AND
SE
MODELS
.
346
14.7
DISCRETE
MODELS
.
349
14.8
HIGHER-DIMENSIONAL
MODELS
.
350
14.9
BIBLIOGRAPHIE
NOTE
.
350
EXERCISES
.
351
XVI
CONTENTS
15
PAELLA
353
15.1
INTRODUCTION
.
353
15.2
DIATOMIC
CONDITIONALS
AND
STOP-LOSS
TRANSFORMS
.
353
15.3
FAILURE
RATES
AND
MEAN
RESIDUAL
LIFE
FUNCTIONS
.
357
15.4
HYPOTHESIS
TESTING
.
358
15.5
RELATED
STOCHASTIC
PROCESSES
.
359
15.6
GIVEN
E(X\Y
=
Y)
AND
FX(X)
.
361
15.7
NEAR
COMPATIBILITY
WITH
GIVEN
PARAMETRIC
FAMILIES
OF
DISTRIBUTIONS
.
362
15.8
MARGINAL
MAPS
.
364
15.9
A
CAUTIONARY
TALE
.
364
15.10
BIBLIOGRAPHIE
NOTES
.
369
EXERCISES
.
369
A
SIMULATION
371
A.L
INTRODUCTION
.
371
A.2
THE
REJECTION
METHOD
.
372
A.3
THE
IMPORTANCE
SAMPLING
METHOD
.
374
A.4
APPLICATION
TO
MODELS
WITH
CONDITIONALS
IN
EXPONENTIAL
FAMILIES
.
377
A.5
OTHER
CONDITIONALLY
SPECIFIED
MODELS
.
378
A.6 A
DIRECT
APPROACH
NOT
INVOLVING
REJECTION
.
379
A.7
BIBLIOGRAPHIE
NOTES
.
380
EXERCISES
.
380
B
NOTATION
USED
IN
THIS
BOOK
383
REFERENCES
-
389
AUTHOR
INDEX
399
SUBJECT
INDEX
403 |
| any_adam_object | 1 |
| author | Arnold, Barry C. 1939- Castillo, Enrique 1946- Sarabia, José-Mariá |
| author_GND | (DE-588)111442435 (DE-588)124179266 |
| author_facet | Arnold, Barry C. 1939- Castillo, Enrique 1946- Sarabia, José-Mariá |
| author_role | aut aut aut |
| author_sort | Arnold, Barry C. 1939- |
| author_variant | b c a bc bca e c ec j m s jms |
| building | Verbundindex |
| bvnumber | BV012682565 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273.6.A76 1999 |
| callnumber-search | QA273.6.A76 1999 |
| callnumber-sort | QA 3273.6 A76 41999 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 800 SK 830 |
| ctrlnum | (OCoLC)41278469 (DE-599)BVBBV012682565 |
| dewey-full | 519.2/4 519.2/421 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/4 519.2/4 21 |
| dewey-search | 519.2/4 519.2/4 21 |
| dewey-sort | 3519.2 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012682565 |
| illustrated | Illustrated |
| indexdate | 2025-01-11T13:44:27Z |
| institution | BVB |
| isbn | 0387987614 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008619798 |
| oclc_num | 41278469 |
| open_access_boolean | |
| owner | DE-824 DE-703 DE-739 DE-521 DE-634 |
| owner_facet | DE-824 DE-703 DE-739 DE-521 DE-634 |
| physical | XVI, 411 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer series in statistics |
| spelling | Arnold, Barry C. 1939- Verfasser (DE-588)111442435 aut Conditional specification of statistical models Barry C. Arnold ; Enrique Castillo ; José María Sarabia New York [u.a.] Springer 1999 XVI, 411 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Distribution (Théorie des probabilités) Distribution (Probability theory) Bedingte Wahrscheinlichkeitsverteilung (DE-588)4294196-9 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 s DE-604 Bedingte Wahrscheinlichkeitsverteilung (DE-588)4294196-9 s Castillo, Enrique 1946- Verfasser (DE-588)124179266 aut Sarabia, José-Mariá Verfasser aut Früher u.d.T. Arnold, Barry C. Conditionally specified distributions DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008619798&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Arnold, Barry C. 1939- Castillo, Enrique 1946- Sarabia, José-Mariá Conditional specification of statistical models Distribution (Théorie des probabilités) Distribution (Probability theory) Bedingte Wahrscheinlichkeitsverteilung (DE-588)4294196-9 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| subject_GND | (DE-588)4294196-9 (DE-588)4121722-6 |
| title | Conditional specification of statistical models |
| title_auth | Conditional specification of statistical models |
| title_exact_search | Conditional specification of statistical models |
| title_full | Conditional specification of statistical models Barry C. Arnold ; Enrique Castillo ; José María Sarabia |
| title_fullStr | Conditional specification of statistical models Barry C. Arnold ; Enrique Castillo ; José María Sarabia |
| title_full_unstemmed | Conditional specification of statistical models Barry C. Arnold ; Enrique Castillo ; José María Sarabia |
| title_old | Arnold, Barry C. Conditionally specified distributions |
| title_short | Conditional specification of statistical models |
| title_sort | conditional specification of statistical models |
| topic | Distribution (Théorie des probabilités) Distribution (Probability theory) Bedingte Wahrscheinlichkeitsverteilung (DE-588)4294196-9 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| topic_facet | Distribution (Théorie des probabilités) Distribution (Probability theory) Bedingte Wahrscheinlichkeitsverteilung Statistisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008619798&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT arnoldbarryc conditionalspecificationofstatisticalmodels AT castilloenrique conditionalspecificationofstatisticalmodels AT sarabiajosemaria conditionalspecificationofstatisticalmodels |