Continuous univariate distributions: 2
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston
Mifflin
1995
New York, NY Wiley 1995 |
| Edition: | 2. ed. |
| Series: | Johnson, Norman L.: Distributions in statistics
... Wiley series in probability and mathematical statistics |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006857070&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XIX, 719 S. graph. Darst. |
| ISBN: | 0471584940 9780471584940 |
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MARC
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| 245 | 1 | 0 | |a Continuous univariate distributions |n 2 |c Norman L. Johnson ; Samuel Kotz |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Boston |b Mifflin |c 1995 | |
| 264 | 1 | |a New York, NY |b Wiley |c 1995 | |
| 300 | |a XIX, 719 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Johnson, Norman L.: Distributions in statistics |v ... | |
| 490 | 0 | |a Wiley series in probability and mathematical statistics | |
| 700 | 1 | |a Kotz, Samuel |d 1930-2010 |e Verfasser |0 (DE-588)119529653 |4 aut | |
| 700 | 1 | |a Balakrishnan, Narayanaswamy |d 1956- |e Verfasser |0 (DE-588)122214846 |4 aut | |
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Record in the Search Index
| DE-BY-TUM_call_number | 0001 96 A 543-2(2) 0048 MAT 603f 2001 A 23541-2 0048 1.97 A 303 0102 MAT 603f 2001 A 23541-2 |
|---|---|
| DE-BY-TUM_katkey | 734164 |
| DE-BY-TUM_location | Mag LSB 01 |
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| _version_ | 1821931070790041600 |
| adam_text | Contents
Preface
xiii
List of
Tables
xv
22
Extreme Value Distributions
1
1
Genesis,
1
2
Introduction,
2
3
Limiting Distributions of Extremes,
4
4
Distribution Function and Moments,
11
5
Order Statistics,
15
6
Record Values,
17
7
Generation, Tables, and Probability Paper,
23
8
Characterizations,
25
9
Methods of Inference,
26
9.1
Moment Estimation,
27
9.2
Simple Linear Estimation,
28
9.3
Best Linear Unbiased (Invariant) Estimation,
32
9.4
Asymptotic Best Linear Unbiased Estimation,
37
9.5
Linear Estimation with Polynomial Coefficients,
39
9.6
Maximum Likelihood Estimation,
41
9.7
Conditional Method,
49
9.8
Method of Probability-Weighted Moments,
50
9.9
Block-Type Estimation,
51
9.10
A Survey of Other Developments,
53
10
Tolerance Limits and Intervals,
55
11
Prediction Limits and Intervals,
59
12
Outliers and Robustness,
64
13
Probability Plots, Modifications, and Model Validity,
66
vii
VIU
CONTENTS
14
Applications,
72
15
Generalized Extreme Value Distributions,
75
16
Other Related Distributions,
86
References,
93
23
Logistic Distribution
113
1
Historical Remarks and Genesis,
113
2
Definition,
115
3
Generating Functions and Moments,
116
4
Properties,
118
5
Order Statistics,
123
6
Methods of Inference,
127
7
Record Values,
135
8
Tables,
137
9
Applications,
138
10
Generalizations,
140
11
Related Distributions,
147
References,
154
24
Laplace (Double Exponential) Distributions
164
1
Definition, Genesis, and Historical Remarks,
164
2
Moments, Generating Functions, and Properties,
165
3
Order Statistics,
168
4
Methods of Inference,
172
4.1
Maximum Likelihood Estimation,
172
4.2
Best Linear Unbiased Estimation,
175
4.3
Simplified Linear Estimation,
181
4.4
Asymptotic Best Linear Unbiased Estimation,
183
4.5
Conditional Inference,
185
4.6
Other Developments,
187
5
Tolerance Limits and Prediction Intervals,
187
6
Related Distributions,
190
7
Applications,
201
References,
201
25
Beta Distributions
210
1
Definition,
210
2
Genesis and Random Number Generation,
212
3
Properties,
217
CONTENTS
ІХ
4
Estimation,
221
5 Applications, 235
6
Approximations and Tables,
238
6.1
Approximations,
238
6.2
Tables,
244
7
Related Distributions,
247
8
Products, Quotients, and Differences of Independent
Beta Variables,
256
References,
264
26
Uniform (Rectangular) Distributions
276
1
Definition,
276
2
Genesis,
277
3
Historical Remarks,
278
4
Generating Functions, Moments,
and Order Statistics,
279
5
Characterizations,
281
6
Estimation of Parameters,
286
7
Estimation Using Order Statistics
—
Censored Samples,
293
8
Tables of Random Numbers,
295
9
Related Distributions,
296
9.1
Mixtures of Two Uniform Distributions,
302
9.2
Other Related Distributions,
304
10
Applications,
307
10.1
Corrections for Grouping,
308
10.2
Life Testing,
308
10.3
Traffic Flow Applications,
310
10.4
Applications in Statistical Tests and Models,
312
11
Random Number Generation,
312
References,
314
27
F-Distributions
322
1
Introduction,
322
2
Properties,
325
3
Order Statistics,
332
4
Tables,
332
5
Approximations and Nomograms,
334
6
Applications,
343
1 CONTENTS
7
Pearson Type VI Distributions,
344
8
Other Related Distributions,
346
8.1
Generalized F-Distributions,
348
8.2
Other Related Distributions,
350
References,
355
28
/-Distributions
362
1
Genesis and Historical Remarks,
362
2
Properties,
363
3
Tables and Nomograms,
368
3.1
Tables,
368
3.2
Nomograms,
372
4
Approximations,
374
5
Applications,
395
6
Pearson Type
VII
Distributions and Their
Modifications,
396
7
Other Related Distributions,
403
References,
422
29
Noncentral
χ
^Distributions
433
1
Definition and Genesis,
433
2
Historical Notes,
435
3
Distribution,
435
4
Moments,
447
5
Properties of the Distribution,
450
6
Estimation,
451
7
Tables and Computer Algorithms,
458
8
Approximations,
461
9
Applications,
467
10
Related Distributions,
470
References,
473
30
Noncentral
ŕ
-Distributions
480
1
Definition and Genesis,
480
2
Historical Remarks,
481
3
Properties,
481
4
Tables and Computer Programs,
488
4.1
Tables,
488
4.2
Computer Programs,
489
CONTENTS xl
5
Approximations,
491
6
Estimation of the Noncentrality Parameter A,,
495
7
Related Distributions,
499
7.1
Doubly
Noncentral
F-Distributions,
499
7.2
Noncentral
Beta Distributions,
502
References,
504
31
Noncentral
/-Distributions
508
1
Definition,
508
2
Historical Remarks,
508
3
Applications and Estimation,
509
4
Moments,
512
5
Distribution Function,
514
6
Approximations,
519
7
Tables, Charts, and Computer Algorithms,
527
8
Related Distributions,
533
8.1
Noncentral
Beta Distribution,
533
8.2
Doubly
Noncentral
(-Distribution,
533
8.3
Modified
Noncentral
ř-Distribution,
537
8.4
Distribution of
Noncentral
ř-Statistic
When
the Population is
Nonnormal, 538
References,
539
32
Distributions of Correlation Coefficients
545
1
Introduction and Genesis,
545
2
Derivation of Distribution of R,
547
3
Historical Remarks,
556
4
Distribution of
R
in Non-normal Populations
and Robustness,
559
5
Tables and Approximations (Asymptotic Expansions),
569
5.1
Tables,
569
5.2
Approximations Using Transforms,
571
5.3
Asymptotic Expansions of the Distribution
of R,
578
6
Estimation of p: Additional Robustness
Considerations,
580
6.1
General Remarks,
580
6.2
Point Estimation,
583
6.3
Maximum Likelihood Estimation.
590
XII CONTENTS
6.4
Estimation of Common
ρ
Based on Several
Samples,
592
6.5
Miscellaneous Estimation Problems,
597
7
Sample Covariance,
599
8
Circular Serial Correlation,
601
9
Noncircular Serial Correlation,
605
10
Leipnik Distribution,
612
11
Multiple Correlation Coefficient,
617
References,
627
33
Lifetime Distributions and Miscellaneous Ordenngs
639
1
Introduction,
639
2
Life Distributions,
640
3
Birnbaum-Saunders Distributions
and Transformations,
651
4
Ordering and Classification of Distributions,
663
4.1
Basic Definitions and Bounds,
663
4.2
Reliability Classification of Orderings,
668
4.3
Alternative Stochastic Ciassincation
of Orderings,
672
References,
681
Abbreviations
691
Author Index
593
Subject Index
711
|
| any_adam_object | 1 |
| author | Johnson, Norman Lloyd 1917-2004 Kotz, Samuel 1930-2010 Balakrishnan, Narayanaswamy 1956- |
| author_GND | (DE-588)128650419 (DE-588)119529653 (DE-588)122214846 |
| author_facet | Johnson, Norman Lloyd 1917-2004 Kotz, Samuel 1930-2010 Balakrishnan, Narayanaswamy 1956- |
| author_role | aut aut aut |
| author_sort | Johnson, Norman Lloyd 1917-2004 |
| author_variant | n l j nl nlj s k sk n b nb |
| building | Verbundindex |
| bvnumber | BV010305102 |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)633614602 (DE-599)BVBBV010305102 |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV010305102 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T09:51:42Z |
| institution | BVB |
| isbn | 0471584940 9780471584940 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006857070 |
| oclc_num | 633614602 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-473 DE-BY-UBG DE-945 DE-824 DE-N2 DE-703 DE-19 DE-BY-UBM DE-20 DE-29 DE-355 DE-BY-UBR DE-521 DE-634 DE-83 |
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| physical | XIX, 719 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Mifflin Wiley |
| record_format | marc |
| series2 | Johnson, Norman L.: Distributions in statistics Wiley series in probability and mathematical statistics |
| spellingShingle | Johnson, Norman Lloyd 1917-2004 Kotz, Samuel 1930-2010 Balakrishnan, Narayanaswamy 1956- Continuous univariate distributions |
| title | Continuous univariate distributions |
| title_auth | Continuous univariate distributions |
| title_exact_search | Continuous univariate distributions |
| title_full | Continuous univariate distributions 2 Norman L. Johnson ; Samuel Kotz |
| title_fullStr | Continuous univariate distributions 2 Norman L. Johnson ; Samuel Kotz |
| title_full_unstemmed | Continuous univariate distributions 2 Norman L. Johnson ; Samuel Kotz |
| title_short | Continuous univariate distributions |
| title_sort | continuous univariate distributions |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006857070&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004900161 |
| work_keys_str_mv | AT johnsonnormanlloyd continuousunivariatedistributions2 AT kotzsamuel continuousunivariatedistributions2 AT balakrishnannarayanaswamy continuousunivariatedistributions2 |
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