Mathematical statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
La Salle, Ill.
Math. Association of America
1971
|
| Ausgabe: | 6. print. |
| Schriftenreihe: | Carus Mathematical Monographs
3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 181 S. |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | TABLE OF CONTENTS
CHAPTER PAGX
I. The Nature or the Problems and Underlying
Concepts or Mathematical Statistics .... 1
1. The scope of mathematical statistics
2. Historical remarks
3. Two general types of problems
4. Relative frequency and probability
5. Observed and theoretical frequency distributions
6. The arithmetic mean and mathematical expecta¬
tion
7. The mode and the most probable value
8. Moments and the mathematical expectations of
powers of a variable
II. Relative Frequencies in Simple Sampling ... 22
9. The binomial description of frequency
10. Mathematical expectation and standard deviation
of the number of successes
11. Theorem of Bernoulli
12. The De Moivre Laplace theorem
13. The quartile deviation
14. The law ol small probabilities. The Poisson expo¬
nential function
III. Frequency Functions of One Variable .... 46
15. Introduction
16. The Pearson system of generalized frequency
curves
17. Generalized normal curves—Gram Charlier series
18. Remarks on the genesis of Type A and Type B
forms
19. The coefficients of the Type A series expressed in
moments of the observed distribution
20. Remarks on two methods of determining the co¬
efficients of the Type A series
ix
x TABLE OF CONTENTS
CHAPTER PAGF
21. The coefficients of the Type B series
22. Remarks
23. Skewness
24. Excess
25. Remarks on the distribution of certain transformed
variates
26. Remarks on the use of various frequency functions
as generating functions in a series representation
IV. Correlation 77
27. Meaning of simple correlation
28. The regressive method and the correlation surface
method of describing correlation
29. The correlation coefficient
THE REGRESSION METHOD OF DESCRIPTION
30. Linear regression
31. The standard deviation of arrays—mean square
error of estimate
32. Non linear regression—the correlation ratio
33. Multiple correlation
34. Partial correlation
35. Non linear regression in n variables—multiple cor¬
relation ratio
36. Remarks on the place of probability in the regres¬
sion method
THE CORRELATION SURFACE METHOD
OS DESCRIPTION
37. Normal correlation surfaces
38. Certain properties of normally correlated dis¬
tributions
39. Remarks on further methods of characterizing
correlation
V. On Random Sampling Fluctuations 114
40. Introduction
41. Standard error and correlation of errors in class
frequencies
TABLE OF CONTENTS xi
CHAPTER PAGE
42. Remarks on the assumptions involved in the deriva¬
tion of standard errors
43. Standard error in the arithmetic mean and in a
5th moment coefficient about a fixed point
44. Standard error of the qth moment nq about a mean
45. Remarks on the standard errors of various statis¬
tical constants
46. Standard error of the median
47. Standard deviation of the sum of independent
variables
48. Remarks on recent progress with sampling errors of
certain averages obtained from small samples
49. The recent generalizations of the Bienayme
Tchebycheff criterion
50. Remarks on the sampling fluctuations of an ob¬
served frequency distribution from the underlying
theoretical distribution
VI. The Lexis Theory 146
51. Introduction
52. Poisson series
53. Lexis series
54. The Lexis ratio
VII A Development of the Grah Charljer Series . . 156
55. Introduction
56. On a development of Type A and Type B from the
law of repeated trials
57. The values of the coefficients of the Type A series
obtained from the biorthogonal property
58. The values of the coefficients of type A series ob¬
tained from a least squares criterion
59. The coefficients of a Type B series
Notes . , 173
Index 178
|
| any_adam_object | 1 |
| author | Rietz, Henry L. 1875-1943 |
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| author_facet | Rietz, Henry L. 1875-1943 |
| author_role | aut |
| author_sort | Rietz, Henry L. 1875-1943 |
| author_variant | h l r hl hlr |
| building | Verbundindex |
| bvnumber | BV007205798 |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)41464373 (DE-599)BVBBV007205798 |
| discipline | Mathematik |
| edition | 6. print. |
| format | Book |
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| id | DE-604.BV007205798 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:57:38Z |
| institution | BVB |
| language | German |
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| physical | XI, 181 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Math. Association of America |
| record_format | marc |
| series | Carus Mathematical Monographs |
| series2 | Carus Mathematical Monographs |
| spelling | Rietz, Henry L. 1875-1943 Verfasser (DE-588)126410194 aut Mathematical statistics 6. print. La Salle, Ill. Math. Association of America 1971 XI, 181 S. txt rdacontent n rdamedia nc rdacarrier Carus Mathematical Monographs 3 Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Carus Mathematical Monographs 3 (DE-604)BV001887236 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004612550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rietz, Henry L. 1875-1943 Mathematical statistics Carus Mathematical Monographs Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 |
| title | Mathematical statistics |
| title_auth | Mathematical statistics |
| title_exact_search | Mathematical statistics |
| title_full | Mathematical statistics |
| title_fullStr | Mathematical statistics |
| title_full_unstemmed | Mathematical statistics |
| title_short | Mathematical statistics |
| title_sort | mathematical statistics |
| topic | Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004612550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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