Multivariate probability:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
London
Arnold
2004
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Ausgabe: | 1. publ. |
Schriftenreihe: | Arnold texts in statistics
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Auch angekündigt als: McColl, John H.: Multivariate probability and stochastic processes |
Beschreibung: | X, 304 S. graph. Darst. |
ISBN: | 0340719966 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | ^FRFPHAE ? **.-*. .*Y N *, CONTENTS IOT »W MOHFIRT »NOIT-I? SERIES
PREFACE VII PREFACE IX 1 FUNDAMENTALS OF PROBABILITY 1 1.1 MODELLING
UNCERTAINTY 1 1.2 THE AXIOMS OF PROBABILITY 6 1.3 CONDITIONAL
PROBABILITY 14 SUMMARY 26 2 RANDOM VARIABLES 27 2.1 BASIC DEFINITIONS 27
2.2 EXPECTED VALUE AND VARIANCE 44 2.3 THE MOMENT-GENERATING FUNCTION 56
SUMMARY 62 3 TRANSFORMING AND SIMULATING RANDOM VARIABLES ,^ 63 3.1
FUNCTIONS OF A RANDOM VARIABLE 63 3.2 EXPECTED VALUE AND VARIANCE OF A
FUNCTION OF A RANDOM VARIABLE 71 3.3 SIMULATION USING THE INVERSE
DISTRIBUTION FUNCTION 75 SUMMARY 83 4 BIVARIATE DISTRIBUTIONS 85 4.1
JOINT AND MARGINAL DISTRIBUTIONS 85 4.2 CONDITIONAL DISTRIBUTIONS AND
INDEPENDENCE 95 4.3 ITERATED EXPECTATION AND VARIANCE 114 4.4 THE
BIVARIATE NORMAL DISTRIBUTION AND REGRESSION 122 R SUMMARY 130 5 RANDOM
VECTORS * 131 5.1 JOINT AND MARGINAL DISTRIBUTIONS 131 5.2 INDEPENDENCE
AND CONDITIONAL DISTRIBUTIONS 150 5.3 MORE ABOUT CORRELATION 163 5.4 THE
JOINT MOMENT-GENERATING FUNCTION 168 SUMMARY N 176 VI CONTENTS 6
SEQUENCES OF RANDOM VARIABLES 6.1 SUMS AND AVERAGES OF RANDOM VARIABLES
0.2 LIMIT THEOREMS AND CONVERGENCE SUMMARY 7 FUNCTIONS OF A RANDOM
VECTOR 7.1 FUNCTIONS OF DISCRETE RANDOM VARIABLES 1.2 FUNCTIONS OF A
CONTINUOUS RANDOM VECTOR /* 5 ORDER STATISTICS 7.4 SOME FURTHER METHODS
OF SIMULATION SUMMARY 8 THE MULTIVARIATE NORMAL DISTRIBUTION 8 2 TCNH .
ARACTE 5 IZIN G THE *LTIVARIATE NORMAL DISTRIBUTION 8.2 INDEPENDENCE AND
ASSOCIATION SUMMARY 9 SAMPLING 9.1 SAMPLING WITH AND WITHOUT REPLACEMENT
9.2 MULTIVARIATE SAMPLING DISTRIBUTIONS 9~3 THE NORMAL LINEAR MODEL
SUMMARY APPENDIX A - USEFUL MATHEMATICAL RESULTS AI SOME IMPORTANT
SERIES A2 GAMMA AND BETA FUNCTIONS A3 EIGENVALUES AND EIGENVECTORS OF
MATRICES A4 POSITIVE DEFINITE MATRICES A5 SYMMETRIE IDEMPOTENT MATRICES
A6 MISCELLANEOUS MATRIX RESULTS APPENDIX B - SOME STATISTICAL TABLES BL
TABLE OF RANDOM DIGITS B2 TABLE OF THE STANDARD NORMAL DISTRIBUTION
FUNETION HINTS AND SOLUTIONS FOR SELECTED EXERCISES REFERENCES INDEX
|
any_adam_object | 1 |
author | McColl, John H. |
author_facet | McColl, John H. |
author_role | aut |
author_sort | McColl, John H. |
author_variant | j h m jh jhm |
building | Verbundindex |
bvnumber | BV012487544 |
callnumber-first | Q - Science |
callnumber-label | QA273 |
callnumber-raw | QA273 |
callnumber-search | QA273 |
callnumber-sort | QA 3273 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 830 |
ctrlnum | (OCoLC)246384660 (DE-599)BVBBV012487544 |
dewey-full | 519.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.2 |
dewey-search | 519.2 |
dewey-sort | 3519.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 1. publ. |
format | Book |
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genre | (DE-588)4151278-9 Einführung gnd-content |
genre_facet | Einführung |
id | DE-604.BV012487544 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:28:27Z |
institution | BVB |
isbn | 0340719966 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008476120 |
oclc_num | 246384660 |
open_access_boolean | |
owner | DE-703 |
owner_facet | DE-703 |
physical | X, 304 S. graph. Darst. |
publishDate | 2004 |
publishDateSearch | 2004 |
publishDateSort | 2004 |
publisher | Arnold |
record_format | marc |
series2 | Arnold texts in statistics |
spelling | McColl, John H. Verfasser aut Multivariate probability John H. McColl Multivariate probability and stochastic processes 1. publ. London Arnold 2004 X, 304 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Arnold texts in statistics Auch angekündigt als: McColl, John H.: Multivariate probability and stochastic processes Multivariate Wahrscheinlichkeitsverteilung (DE-588)4205373-0 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Multivariate Wahrscheinlichkeitsverteilung (DE-588)4205373-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008476120&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | McColl, John H. Multivariate probability Multivariate Wahrscheinlichkeitsverteilung (DE-588)4205373-0 gnd |
subject_GND | (DE-588)4205373-0 (DE-588)4151278-9 |
title | Multivariate probability |
title_alt | Multivariate probability and stochastic processes |
title_auth | Multivariate probability |
title_exact_search | Multivariate probability |
title_full | Multivariate probability John H. McColl |
title_fullStr | Multivariate probability John H. McColl |
title_full_unstemmed | Multivariate probability John H. McColl |
title_short | Multivariate probability |
title_sort | multivariate probability |
topic | Multivariate Wahrscheinlichkeitsverteilung (DE-588)4205373-0 gnd |
topic_facet | Multivariate Wahrscheinlichkeitsverteilung Einführung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008476120&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT mccolljohnh multivariateprobability AT mccolljohnh multivariateprobabilityandstochasticprocesses |