Generalization and Probabilistic Proof of a Combinatorial Identity

In this note, we give a probabilistic proof of a combinatorial identity which involves binomial coefficients. Our results consist of showing that the identity essentially computes the moment of order n of the chi-square random variable with m degrees of freedom. [PUBLICATION ABSTRACT]

Saved in:
Bibliographic Details
Published inThe American mathematical monthly Vol. 118; no. 2; p. 1
Main Authors Chang, Guisong, Xu, Chen
Format Journal Article
LanguageEnglish
Published Washington Taylor & Francis Ltd 01.02.2011
Subjects
Online AccessGet full text

Cover

Loading…
Abstract In this note, we give a probabilistic proof of a combinatorial identity which involves binomial coefficients. Our results consist of showing that the identity essentially computes the moment of order n of the chi-square random variable with m degrees of freedom. [PUBLICATION ABSTRACT]
AbstractList In this note, we give a probabilistic proof of a combinatorial identity which involves binomial coefficients. Our results consist of showing that the identity essentially computes the moment of order n of the chi-square random variable with m degrees of freedom. [PUBLICATION ABSTRACT]
Author Xu, Chen
Chang, Guisong
Author_xml – sequence: 1
  givenname: Guisong
  surname: Chang
  fullname: Chang, Guisong
– sequence: 2
  givenname: Chen
  surname: Xu
  fullname: Xu, Chen
BookMark eNqNis0KgkAURocoSKt3GNoLo6Y526S_XYv2cs0Rrti9NTMu6ukz6AGCAx-H74RiSkxmIoJYpypSeptMRaCUSiJdaDUXoXPdqCrbJIHYHQ0ZCz2-wSOTBGrkxXINNfboPN6-xq0cAVnyvUYCzxahl-fGkEf_WopZC70zq98uxPqwv5an6GH5ORjnq44HS-NVFXmaZUWc6_Sv6AOoSTyf
CODEN AMMYAE
ContentType Journal Article
Copyright Copyright Mathematical Association Of America Feb 2011
Copyright_xml – notice: Copyright Mathematical Association Of America Feb 2011
DBID JQ2
DatabaseName ProQuest Computer Science Collection
DatabaseTitle ProQuest Computer Science Collection
DatabaseTitleList ProQuest Computer Science Collection
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1930-0972
ExternalDocumentID 2330558171
GroupedDBID -DZ
-ET
-~X
0B8
0BK
0R~
123
23M
2AX
2FS
30N
6OB
85S
8S2
9EE
9EM
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
AAYOK
ABBHK
ABCQX
ABEFU
ABFAN
ABIFP
ABJNI
ABLIJ
ABLJU
ABPAQ
ABPFR
ABPPZ
ABPQH
ABXSQ
ABXUL
ABXYU
ABYAD
ABYWD
ABZEH
ACGFO
ACGOD
ACIWK
ACMTB
ACNCT
ACTIO
ACTMH
ACUBG
ADACV
ADFET
ADGTB
ADMHC
ADODI
ADULT
AEGYZ
AEISY
AELPN
AENEX
AEUPB
AEYOC
AFVYC
AFXHP
AGCQS
AGDLA
AGNAY
AHDZW
AI.
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AWYRJ
BKOMP
BLEHA
CCCUG
CJ0
CS3
DGEBU
DQDLB
DSRWC
E.L
EBS
ECEWR
EJD
F5P
FEDTE
FVMVE
G8K
HF~
HQ6
IPSME
JAAYA
JAS
JBMMH
JBZCM
JENOY
JHFFW
JKQEH
JLEZI
JLXEF
JMS
JPL
JQ2
JSODD
JST
KOO
KYCEM
L7B
LU7
M0P
M4Z
MVM
O9-
OK1
P2P
RNANH
ROSJB
RTWRZ
SA0
TAE
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TN5
TTHFI
TUROJ
UKR
UMD
UPT
USG
VH1
VQA
WH7
XIH
YSQ
YZZ
ZCA
ZGOLN
ID FETCH-proquest_journals_8635581693
ISSN 0002-9890
IngestDate Thu Oct 10 20:03:45 EDT 2024
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel OpenURL
MergedId FETCHMERGED-proquest_journals_8635581693
PQID 863558169
PQPubID 47349
ParticipantIDs proquest_journals_863558169
PublicationCentury 2000
PublicationDate 20110201
PublicationDateYYYYMMDD 2011-02-01
PublicationDate_xml – month: 02
  year: 2011
  text: 20110201
  day: 01
PublicationDecade 2010
PublicationPlace Washington
PublicationPlace_xml – name: Washington
PublicationTitle The American mathematical monthly
PublicationYear 2011
Publisher Taylor & Francis Ltd
Publisher_xml – name: Taylor & Francis Ltd
SSID ssj0000542
Score 3.7686086
Snippet In this note, we give a probabilistic proof of a combinatorial identity which involves binomial coefficients. Our results consist of showing that the identity...
SourceID proquest
SourceType Aggregation Database
StartPage 1
SubjectTerms Probability distribution
Proof theory
Random variables
Title Generalization and Probabilistic Proof of a Combinatorial Identity
URI https://www.proquest.com/docview/863558169
Volume 118
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NT4MwGG50XvRg_Iw6NY3xZliAlkGPc24uZpsXFokXQkfRiyxx7OKv922hVDJj1IQ00CaE8MD70b7PU4SuqZ8lDFyJRTybWDQT1GKM-1Y2Fz5LvZRkQiaKk2l3NKMPkReZHQUVu6TgnfnHt7yS_6AKfYCrZMn-Adn6ptAB54AvtIAwtL_CuNKMrqiUuvCfK9Fcqb8sryAYVBRI-PEhCZYptpLXKPm5jTXd0JBM8pu3Ws5V0ksWefFq6j77epL5fiVrkV50f7QqF_ArdllqJkcbdRnh2rYeX2qLtPlkQbm_Z0eUFpMR25IaQA2TamxqndqWBtIxfkevtU8f4-FsPI7DQRQ2R5WbdYkUJQscKRSwSRyvhbZ6o7vnJ-NvPerqJEc-3JpXVaFCuId2qxgf90rA9tGGyA_QzqR-o8tDdNuEDgN0uAEdVtBhOBLcgA5r6I7Q1XAQ9keWfoy4-maWcSDju0AK4ByjVr7IxQnCCZ0LN-V2kJCEcjsJEp9y0XUdzuyAZuQUtX-40dmPo220bXA-R63ifSUuIIoq-GX1Gj8BMcIp8w
link.rule.ids 315,783,787
linkProvider Library Specific Holdings
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Generalization+and+Probabilistic+Proof+of+a+Combinatorial+Identity&rft.jtitle=The+American+mathematical+monthly&rft.au=Chang%2C+Guisong&rft.au=Xu%2C+Chen&rft.date=2011-02-01&rft.pub=Taylor+%26+Francis+Ltd&rft.issn=0002-9890&rft.eissn=1930-0972&rft.volume=118&rft.issue=2&rft.spage=1&rft.externalDBID=NO_FULL_TEXT&rft.externalDocID=2330558171
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0002-9890&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0002-9890&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0002-9890&client=summon