Random sums and branching stochastic processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1995
|
| Schriftenreihe: | Lecture notes in statistics
96 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 195 S. |
| ISBN: | 038794446X |
Internformat
MARC
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| 100 | 1 | |a Rahimov, Ibrahim |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Random sums and branching stochastic processes |c Ibrahim Rahimov |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1995 | |
| 300 | |a 195 S. | ||
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| 490 | 1 | |a Lecture notes in statistics |v 96 | |
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Datensatz im Suchindex
| _version_ | 1807865663219302400 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
1
CHARTER
I.
SUMS
OF
A
RANDOM
NUMBER
OF
RANDOM
VARIABLES.
5
§1.1.
SAMPLING
SUMS
OF
DEPENDENT
VARIABLES
AND
MIXTURES
OF
INFINITELY
DIVISIBLE
DISTRIBUTIONS.
5
§LA.
SUMS
OF
A
RANDOM
NUMBER
OF
RANDOM
VARIABLES.
7
§LB.
MULTIPLE
SUMS
OF
DEPENDENT
RANDOM
VARIABLES.
9
§LC.
SAMPLING
SUMS
FROM
A
FINITE
POPULATION.
14
§1.2.
LIMIT
THEOREMS
FOR
A
SUM
OF
RANDOMLY
INDEXED
SEQUENCES.
18
§2A.
SUFFICIENT
CONDITIONS.
18
§2B.
NECESSARY
AND
SUFFICIENT
CONDITIONS.
21
§2C.
AN
APPLICATION.
25
§1.3.
NECESSARY
AND
SUFFICIENT
CONDITIONS
AND
LIMIT
THEOREMS
FOR
SAMPLING
SUMS.
27
§3A.
CONVERGENCE
THEOREMS.
27
§3B.
THE
RATE
OF
CONVERGENCE.
35
CHARTER
II.
BRANCHING
PROCESSES
WITH
GENERALIZED
IMMIGRATION.
44
§2.
1
.CLASSICAL
MODELS
OF
BRANCHING
PROCESSES.
44
§LA.
BELLMAN-HARRLS
PROCESSES.
45
§LB.
MOMENTS
AND
EXTLNCTION
PROBABILLTIES.
46
§LC.
ASYMPTOTICS
OF
NON-EXTINETION
PROBABILITY
AND
EXPONENTIAL
LIMIT
DISTRIBUTLON.
48
§LD.
BRANCHING
PROCESSES
WITH
STATIONARY
IMMIGRATION.
51
§LE.
CONTLNUOUS
TIME
BRANCHING
PROCESSES WITH
IMMIGRATION.
54
§2.2.
GENERAL
BRANCHING
PROCESSES
WITH
REPRODUCTION
DEPENDENT
IMMIGRATION.
58
§2A.
THE
MODEL.
59
§2B.
THE
MAIN
THEOREM.
62
§2C.
THE
PROOF
OF
THE
MAIN
THEOREM.
64
§2D.
APPLICATIONS
OF
THE
MAIN
THEOREM.
71
§2.3.
DISCRETE
TIME
PROCESSES.
76
§3A.
THE
MODEL.
76
§3B.
LIMIT
THEOREMS
FOR
DISCRETE
TIME
PROCESSES.
78
§3C.
SOME
EXAMPLES.
84
§3D.RANDOMLY
STOPPED
IMMIGRATION.
87
§2.4.
CONVERGENCE
TO
JIRINA
PROCESSES
AND
TRANSFER
THEOREMS
FOR
BRANCHING
PROCESSES.
92
§4A.
THE
MODEL.
92
§4B.
THE
MAIN
THEOREM
AND
COROLLARIES.
94
§4C.
THE
PROOF
OF
THE
MAIN
THEOREM.
97
CHARTER
III.
BRANCHING
PROCESSES
WITH
TIME-DEPENDENT
IMMIGRATION.
105
§3.1.
DECREASING
IMMIGRATION.
105
§LA.
THE
MAIN
THEOREM.
106
§LB.
THE
PROOF
OF
THE
MAIN
THEOREM.
118
§LC.
STATE-DEPENDENT
IMMIGRATION.
122
§3.2.
INCREASING
IMMIGRATION.
124
§2A.
THE
PROCESS
WITH
INFINITE
VARIANCE.
124
§2B.
THE
PROCESS
WITH
FINITE
VARIANCE.
132
§3.3.
LOCAL
LIMIT
THEOREMS.
136
§3A.
OCCUPATION
OF
AN
INCREASING
STATE.
136
§3B.
OCCUPATION
OF
A
FIXED
STATE.
154
CHAPTER
IV.
THE
ASYMPTOTIC
BEHAVIOR
OF
FAMILIES
OF
PARTICLES
IN
BRANCHING
PROCESSES.
156
§4.1.
SUMS
OF
DEPENDENT
INDICATORS.
157
§LA.
SUMS
OF
FUNCTIONS
OF
INDEPENDENT
RANDOM
VARIABLES.
157
§LB.
SAMPLING
SUMS
OF
DEPENDENT
INDICATORS.
163
§4.2.
FAMILY
OF
PARTICLES
IN
CRITICAL
PROCESSES.
167
§2A.
THE
MODEL.
167
§2B.
LIMIT
THEOREMS.
168
§4.3.
FAMILIES
OF
PARTICLES
IN
SUPERCRITICAL
AND
SUBCRITICAL
PROCESSES.
177
§3A.
SUPERCRITICAL
PROCESSES.
177
§3B.
SUBCRITICAL
PROCESSES.
184
REFERENCES.
184
INDEX.
194 |
| any_adam_object | 1 |
| author | Rahimov, Ibrahim |
| author_facet | Rahimov, Ibrahim |
| author_role | aut |
| author_sort | Rahimov, Ibrahim |
| author_variant | i r ir |
| building | Verbundindex |
| bvnumber | BV010108288 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.234 |
| dewey-search | 519.234 |
| dewey-sort | 3519.234 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV010108288 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-20T00:50:47Z |
| institution | BVB |
| isbn | 038794446X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006711541 |
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| physical | 195 S. |
| publishDate | 1995 |
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| publisher | Springer |
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| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Rahimov, Ibrahim Verfasser aut Random sums and branching stochastic processes Ibrahim Rahimov New York [u.a.] Springer 1995 195 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 96 Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Zufällige Folge (DE-588)4191092-8 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Summe (DE-588)4193845-8 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 s Summe (DE-588)4193845-8 s DE-604 Verzweigungsprozess (DE-588)4188184-9 s Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Zufällige Folge (DE-588)4191092-8 s 2\p DE-604 Lecture notes in statistics 96 (DE-604)BV002447846 96 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006711541&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rahimov, Ibrahim Random sums and branching stochastic processes Lecture notes in statistics Verzweigungsprozess (DE-588)4188184-9 gnd Zufallsvariable (DE-588)4129514-6 gnd Zufällige Folge (DE-588)4191092-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Summe (DE-588)4193845-8 gnd |
| subject_GND | (DE-588)4188184-9 (DE-588)4129514-6 (DE-588)4191092-8 (DE-588)4057630-9 (DE-588)4193845-8 |
| title | Random sums and branching stochastic processes |
| title_auth | Random sums and branching stochastic processes |
| title_exact_search | Random sums and branching stochastic processes |
| title_full | Random sums and branching stochastic processes Ibrahim Rahimov |
| title_fullStr | Random sums and branching stochastic processes Ibrahim Rahimov |
| title_full_unstemmed | Random sums and branching stochastic processes Ibrahim Rahimov |
| title_short | Random sums and branching stochastic processes |
| title_sort | random sums and branching stochastic processes |
| topic | Verzweigungsprozess (DE-588)4188184-9 gnd Zufallsvariable (DE-588)4129514-6 gnd Zufällige Folge (DE-588)4191092-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Summe (DE-588)4193845-8 gnd |
| topic_facet | Verzweigungsprozess Zufallsvariable Zufällige Folge Stochastischer Prozess Summe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006711541&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
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