Unbiased estimators and their applications: 1 Univariate case
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Dordrecht u.a.
Kluwer Acad. Publ.
1993
|
| Series: | Mathematics and its applications
263 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 521 S. graph. Darst. |
| ISBN: | 0792323823 |
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MARC
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| 245 | 1 | 0 | |a Unbiased estimators and their applications |n 1 |p Univariate case |c by V. G. Voinov and M. S. Nikulin |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 1993 | |
| 300 | |a XII, 521 S. |b graph. Darst. | ||
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| 490 | 0 | |a Mathematics and its applications |v ... | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Foreword to the English Edition ix
Preface xi
Chapter I. Elements of the Theory of Point Statistical Estimation 1
1. The Problem of Point Statistical Estimation 1
2. Risk of a Statistical Estimator 9
3. Consistency 13
4. Unbiasedness 19
5. Examples 30
6. Order Statistics 43
7. Empirical Distribution Function 53
8. Sufficient Statistics 59
9. The Information Inequality 77
10. The Rao Blackwell Kolmogorov Theorem 83
11. Maximum Likelihood Estimation 90
12. The Method of Moments 105
13. Equivariant Estimators 111
14. Techniques for Improving Estimators 116
15. Unbiasedness in the Mean, and Other Concepts of Unbiasedness 123
16. Some Problems of Unbiased Estimation for the Normal Distribution 133
Chapter II. Techniques for Constructing Unbiased Estimators 145
1. Introducing a Factor Deleting the Bias 145
2. The Rao Blackwell Kolmogorov Method 147
3. Estimators Based on the Unbiased Probability Density Function
Estimator 159
4. Techniques Based on the Equation of Unbiasedness 167
5. Unbiased Estimators of Parameters of Discrete Distributions 204
6. The Abbey and David Techniques 235
Chapter III. Applications of Unbiased Estimation Theory 247
1. Unbiased Estimators of Parameters of Truncated Exponential and
Normal Distributions, with Applications 247
v
vi Contents
2. Some Statistical Models and Estimators Useful in Integrated Circuit
Quality Control 268
3. Unbiased Estimators in the Classical Occupancy Problem with Ap¬
plications 280
4. Some Unbiased Estimators of the Reliability of Systems 290
5. Unbiasedness, Sufficiency, and a Chi Square Goodness of Fit Test for
Discrete Exponential Distributions of Rank One 296
Appendix 305
Tables of Unbiased Estimators 305
Al. Unbiased Estimators of Functions of Parameters of the Normal Distri¬
bution 306
A2. Unbiased Estimators of Functions of the Parameter 6 of the Uniform
Distribution 340
A3. Unbiased Estimators of the Functions of the Parameter 9 of the Discrete
Uniform Distribution (Sampling with Replacement) 347
A4. Unbiased Estimators of Functions of the Parameter 0 of the Discrete
Uniform Distribution (Sampling without Replacement) 349
A5. Unbiased Estimators of Functions of the Parameter 8 of the Gamma
Distribution 350
A6. Unbiased Estimators of Functions of Parameters /x and A of the Inverse
Gaussian Distribution 368
A7. Unbiased Estimators of Functions of Parameters of the Weibull Distri¬
bution 382
A8. Unbiased Estimators of Functions of Parameters of the Rayleigh Distri¬
bution 388
A9. Unbiased Estimators of Functions of Parameters of some Independent
Normal Distributions 393
A10. Unbiased Estimators of Functions of a Paramater of the Seminormal
Distribution 400
All. Unbiased Estimators of Functions of Parameters of the Left Truncated
Exponential Distribution (fi and a are Unknown) 405
A12. Unbiased Estimators of Functions of Parameters of the Left Truncated
Exponential Distribution ( r is Known) 410
A13. Unbiased Estimators of Functions of Parameters of the Paretian Law 413
A14. Unbiased Estimators of Functions of Parameters of the Left Truncated
Exponential Distribution of a General Type ^
Contents vii
A15. Unbiased Estimators of Functions of a Parameter of the Right Truncated
Exponential Distributions 426
A16. Unbiased Estimators of Functions of Parameters of the Uniform Distri¬
bution with Two Unknown Parameters 430
A17. Unbiased Estimators for Functions of a Parameter 9 of the Extreme
Value Distribution 433
A18. Unbiased Estimators of Functions of Parameters of the Burr Distribution 435
A19. Unbiased Estimators of Functions of Parameters of the Logarithmic
Power Distribution 437
A20. Unbiased Estimators for Functions of Parameters 9 and r of the Left
Truncated Power Series Distribution 439
A21. Unbiased Estimators of Functions of Parameters 9 and r of the Left
Truncated Generalized Logarithmic Series Distribution 443
A22. Unbiased Estimators of Functions of Parameters 6 and r of the Left
Truncated Logarithmic Series Distribution 447
A23. Unbiased Estimators of Functions of Parameters of the Truncated Geo¬
metrical Distribution 450
A24. Unbiased Estimators of Functions of a Parameter 0 of the Binomial
Distribution 457
A25. Unbiased Estimators of Functions of a Parameter 9 of the Negative Bino¬
mial Distribution 461
A26. Unbiased Estimators of Functions of Parameters of the Left Truncated
Generalized Negative Binomial Distribution 464
A27. Unbiased Estimators of Functions of Parameters of the Left Truncated
Generalized Poisson and the Borel Tanner Distribution 470
A28. Unbiased Estimators of Functions of the Parameter 9 of the Poisson
Distribution 474
A29. Unbiased Estimators of Functions of Parameters of the Left Truncated
Poisson Distribution 479
A30. Unbiased Estimators of Functions of the Parameter 9 of the Hypergeo
metric Distribution 484
A31. Unbiased Estimators of Functions of the Parameter 9 of the Negative
Hypergeometric Distribution 485
A32. Unbiased Estimators of Functions of Parameters of the Lognormal Dis¬
tribution 486
A33. UMVUE s of Parameters for a Subclass of Stable Distributions 492
A34. UMVUE s of Parameters for the Stirling Distribution of the Second Kind 493
References 497
Subject Index 519
|
| any_adam_object | 1 |
| author | Voinov, Vasilij G. Nikulin, Michail S. |
| author_GND | (DE-588)131649515 |
| author_facet | Voinov, Vasilij G. Nikulin, Michail S. |
| author_role | aut aut |
| author_sort | Voinov, Vasilij G. |
| author_variant | v g v vg vgv m s n ms msn |
| building | Verbundindex |
| bvnumber | BV008279749 |
| classification_rvk | SK 830 |
| ctrlnum | (OCoLC)468098141 (DE-599)BVBBV008279749 |
| dewey-full | 519.544 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.544 |
| dewey-search | 519.544 |
| dewey-sort | 3519.544 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV008279749 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:17:40Z |
| institution | BVB |
| isbn | 0792323823 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005470800 |
| oclc_num | 468098141 |
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| physical | XII, 521 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Voinov, Vasilij G. Verfasser aut Nesmeščennye ocenki i ich primenenija Unbiased estimators and their applications 1 Univariate case by V. G. Voinov and M. S. Nikulin Dordrecht u.a. Kluwer Acad. Publ. 1993 XII, 521 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 263 Mathematics and its applications ... Estimation, Théorie de l' ram Processus ponctuels ram Nikulin, Michail S. Verfasser (DE-588)131649515 aut (DE-604)BV008279748 1 Mathematics and its applications 263 (DE-604)BV008163334 263 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005470800&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Voinov, Vasilij G. Nikulin, Michail S. Unbiased estimators and their applications Mathematics and its applications Estimation, Théorie de l' ram Processus ponctuels ram |
| title | Unbiased estimators and their applications |
| title_alt | Nesmeščennye ocenki i ich primenenija |
| title_auth | Unbiased estimators and their applications |
| title_exact_search | Unbiased estimators and their applications |
| title_full | Unbiased estimators and their applications 1 Univariate case by V. G. Voinov and M. S. Nikulin |
| title_fullStr | Unbiased estimators and their applications 1 Univariate case by V. G. Voinov and M. S. Nikulin |
| title_full_unstemmed | Unbiased estimators and their applications 1 Univariate case by V. G. Voinov and M. S. Nikulin |
| title_short | Unbiased estimators and their applications |
| title_sort | unbiased estimators and their applications univariate case |
| topic | Estimation, Théorie de l' ram Processus ponctuels ram |
| topic_facet | Estimation, Théorie de l' Processus ponctuels |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005470800&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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