Probability theory and statistical applications: a profound treatise for self-study
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2016]
|
| Series: | De Gruyter graduate
|
| Subjects: | |
| Online Access: | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110363197&searchTitles=true Inhaltsverzeichnis |
| Physical Description: | IX, 284 Seiten Diagramme 24 cm x 17 cm |
| ISBN: | 3110363194 9783110363197 |
Staff View
MARC
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| 100 | 1 | |a Zörnig, Peter |d 1955- |e Verfasser |0 (DE-588)1047567814 |4 aut | |
| 245 | 1 | 0 | |a Probability theory and statistical applications |b a profound treatise for self-study |c Peter Zörnig |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2016] | |
| 264 | 4 | |c © 2016 | |
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| 653 | |a Order statistics | ||
| 653 | |a Transforms of random variables | ||
| 653 | |a Generating functions | ||
| 653 | |a Convergence of random variables | ||
| 653 | |a Probability measures | ||
| 653 | |a Statistical applications | ||
| 653 | |a Univariate and multivariate models | ||
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Record in the Search Index
| _version_ | 1804176221143040000 |
|---|---|
| adam_text | CONTENTS
1.1
1.2
1
.
2.1
1
.
2.2
1.3
1.4
2
2.1
2.2
2.3
2.4
3
3.1
3.2
4
4.1
4.2
4.3
5
5.1
5.2
5.3
5.4
5.5
6
6.1
6.2
7
7.1
7.2
7.3
7.4
7.5
8
8.1
8.2
8.3
I
MATHEMATICS REVISION * 1
BASIC NOTIONS OF SETS * 1
BASIC CONCEPTS OF COMBINATORICS * 5
MORE ABOUT BINOMIAL COEFFICIENTS * 6
SPECIFIC PERMUTATIONS AND A GENERALIZATION _ 1 0
SOME SPECIA( FUNCTIONS * 13
INTEGRATION OF BI*DIMENSIONAL FUNCTIONS * 19
INTRODUCTION T . PROBABILITY * 26
MATHEMATICA( MODELS * 26
FURTHER EXAMPLES OF RANDOM EXPERIMENTS * 26
ASSIGNING PROBABILITIES TO EVENTS * 28
BASIC NOTIONS OF PROBABILITY* 30
FINITE SAMPLE SPACES
* 36
EQUALLY LIKELY OUTCOMES * 36
VARIANTS OF A RANDOM EXPERIMENT* 3
*
CONDITIONAL PROBABILITY AND INDEPENDENCE *
CONDITIONAL PROBABILITY*-4 4
BAYES* THEOREM * 47
INDEPENDENT EVENTS * 48
ONE-DIMENSIONAL RANDOM VARIABLES * 59
THE CONCEPT OF A RANDOM VARIABLE * 59
DISCRETE RANDOM VARIABLES * 60
THE B*NOM*AL D*ST
*
*BUON AND EXTENSIONS * 61
CONTINUOUS RANDOM VARIABLES * 64
DISTRIBUTION FUNCTION _ 67
FUNCTIONS OF RANDOM VARIABLES
* 73
CONTINUOUS RANDOM VARIABLES* 73*
DISCRETE RANDOM VARIABLES * 79
BI-DIMENSLONAL RANDOM VARIABLES
* 83
DISCRETE RANDOM VARIABLES * 83
CONTINUOUS RANDOM VARIABLES * 85
MARGINA( DISTRIBUIONS AND INDEPENDENT VA
*
*A B L E S _ 8 8
CONDITIONAL DISTRIBUTIONS AND DISTRIBUTION FUNCTIONS * 91
FUNCTIONS OF A RANDOM VARIABLE * 94
CHARACTERISTICS OF RANDOM VA RIA B LES_ 1 0 0
THE EXPECTED VALUE OF A RANDOM VARIABLE * 100
EXPECTATION OF A FUNCTION OF A RANDOM VARIABLE * 102
PROPERTIES OF THE EXPECTED VALUE * 104
THP
VARIANCE OF A RANDOM VARIABLE * 106
PROBABILITY IN E Q U A LITIE S
COVARIANCE AND CORRELATION * 112
DISCRETE PROBABILITY MODELS
* 119
THE POISSON DISTRIBUTION _ 1 1
*
THE POISSON PROCESS * 121
THE GEOMETRIC DISTRIBUTION
_ 122
THE PASCAL DISTRIBUTION * 124
THE HYPERGEOMETRIC DISTRIBUTION _ 1 2 6
THE MULTINOMIAL DISTRIBUTION*129
*
CONTINUOUS PROBABILITY MODELS
* 133
THE NORMA* DISTRIBUTION _ ! 3 3
THE EXPONENTIAL DISTRIBUTION * 138
THE GAMMA DISTRIBUTION
*
139
THE CHI*SQUARE DISTRIBUTION * 141
THE BETA DISTRIBUTION * 1
THE MULTIVARIATE NORMAL DISTRIBUTION* -144
GENERATING FUNCTIONS IN PROBABILITY* 151
THE MOMENT-GENERATING FUNCTION _ 151
GENERATION OF MOMENTS * 153
REPRODUCTIVE P
*
OPE *
*
E S _ 1 5 6
THE PROBABILITY-GENERATING FUNCTION * 159
GENERATION OF PROBABILITIES AND FACTORIAL MOMENTS * 161
SUMS OF MANY RANDOM VARIABLES * 166
THE LAW OF LARGE NUMBERS * 166
NORMAL APPROXIMATION TO THE BINOMIAL DISTRIBUTION * 167
THE CENTRAL LIMIT THEOREM * 170
SAMPLES AND SAMPHNG DISTRIBUONS
* 175
SAMPLES AND STATISTICS * 175
ORDER STATISTICS * 177
SAMPLING IN SIMULATION AND DETERMINISTIC APP* CA* O N S _ 1 8 2
ESTIMATION OF PARAMETERS * 191
CRITERIA FOR ESTIMATORS * 191
MAXIMUM LIKELIHOOD ESTIMATION*-195
METHOD OF MOMENTS * 200
UNEAR REGRESSION* 204
CONFIDENCE INTPRVFLIC* 11*
STUDENT*S T-HICTRIHIITINN* 215
HYPOTHECS TESTS* 221
BASIC CONCEPTS AND TPGFG* 221
OC- FUNCTION
*
POWER FUNCTION AND P -V A *U E _ 225
TESTS FOR THE MEAN OF A NORMAL DISTRIBUTION WITH UNKNOWN
VARIANCE* 230
5
6
1
2
3
4
5
6
1
2
3
4
5
,
0
1
2
3
4
5
1
2
3
1
2
3
1
2
3
4
5
6
1
2
3
O
O
O
O
O
O
Q
L
R
4
L
1
4
1
4
L
2
2
2
2
3
3
3
3
4
4
4
4
4
4
4
5
C
^
*
S
*
^
15.4 TESTS FOR THE VARIANCE OF A NORMAL DISTRIBUTION* 231
15.5 COMPARING THE MEANS OF TWO NORMAL DISTRIBUTIONS* 232
15.6 COMPARING THE VARIANCES OFTWO NORMALDISTRIBUTIONS* 236
15.7 CHI-SQUARE G
00
DNESS
0
*F*FIT TEST* 237
15.8 CONTINGENCY TABLE CHI-SQUARE TEST*.2 4 0
APPENDIX* 246
SOLUTIONS TO ********** 246
TABLE OF HIQTRIHNTINNO* . 272
STANDARD NOM AL DISTRIBUTIV^ 275
STUDENT*S T-D*ST
*
*BU* O N _ 276
CHI-SQUARE DISTRIBUTION* 278
REFERENCES* 280
INDEX* 281
|
| any_adam_object | 1 |
| author | Zörnig, Peter 1955- |
| author_GND | (DE-588)1047567814 |
| author_facet | Zörnig, Peter 1955- |
| author_role | aut |
| author_sort | Zörnig, Peter 1955- |
| author_variant | p z pz |
| building | Verbundindex |
| bvnumber | BV043554876 |
| classification_rvk | QH 170 QH 230 QH 231 SK 800 |
| ctrlnum | (OCoLC)954035858 (DE-599)DNB1076282830 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| indexdate | 2024-07-10T07:28:44Z |
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| isbn | 3110363194 9783110363197 |
| language | English |
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| spelling | Zörnig, Peter 1955- Verfasser (DE-588)1047567814 aut Probability theory and statistical applications a profound treatise for self-study Peter Zörnig Berlin ; Boston De Gruyter [2016] © 2016 IX, 284 Seiten Diagramme 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Fachhochschul-/Hochschulausbildung Order statistics Transforms of random variables Generating functions Convergence of random variables Probability measures Statistical applications Univariate and multivariate models Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Statistik (DE-588)4056995-0 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, EPUB 978-3-11-040283-4 Erscheint auch als Online-Ausgabe, PDF 978-3-11-040271-1 http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110363197&searchTitles=true Verlag DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028970054&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zörnig, Peter 1955- Probability theory and statistical applications a profound treatise for self-study Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4079013-7 |
| title | Probability theory and statistical applications a profound treatise for self-study |
| title_auth | Probability theory and statistical applications a profound treatise for self-study |
| title_exact_search | Probability theory and statistical applications a profound treatise for self-study |
| title_full | Probability theory and statistical applications a profound treatise for self-study Peter Zörnig |
| title_fullStr | Probability theory and statistical applications a profound treatise for self-study Peter Zörnig |
| title_full_unstemmed | Probability theory and statistical applications a profound treatise for self-study Peter Zörnig |
| title_short | Probability theory and statistical applications |
| title_sort | probability theory and statistical applications a profound treatise for self study |
| title_sub | a profound treatise for self-study |
| topic | Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Statistik Wahrscheinlichkeitstheorie |
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