Asymptotics of Maxima of Discrete Random Variables View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2002-09

AUTHORS

Saralees Nadarajah, Kosto Mitov

ABSTRACT

If X1, X2,..., Xn are independent and identically distributed discrete random variables and Mn=max (X1,..., Xn) we examine the limiting behavior of (Mn−b(n))/a(n) as n → ∞. It is well known that for discrete distributions such as Poisson and geometric the limiting distribution is not non-degenerate. However, by tuning the parameters of the discrete distribution to vary as n → ∞, it is possible to obtain non-degenerate limits for (Mn−b(n))/a(n). We consider four families of discrete distributions and show how this can be done. More... »

PAGES

287-294

Journal

TITLE

Extremes

ISSUE

3

VOLUME

5

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1024081112501

DOI

http://dx.doi.org/10.1023/a:1024081112501

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1020021561


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of South Florida", 
          "id": "https://www.grid.ac/institutes/grid.170693.a", 
          "name": [
            "Department of Mathematics, University of South Florida, 33620, Tampa, Florida, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Nadarajah", 
        "givenName": "Saralees", 
        "id": "sg:person.016342517733.01", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016342517733.01"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Department of Informatics and Mathematics, Airforce Academy \u201cG. Benkovski\u201d, Pleven, Bulgaria"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mitov", 
        "givenName": "Kosto", 
        "id": "sg:person.07350445645.92", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07350445645.92"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/s0022-510x(99)00015-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009897116"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9876.00097", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010941488"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aoap/1043862420", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064397798"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2002-09", 
    "datePublishedReg": "2002-09-01", 
    "description": "If X1, X2,..., Xn are independent and identically distributed discrete random variables and Mn=max (X1,..., Xn) we examine the limiting behavior of (Mn\u2212b(n))/a(n) as n \u2192 \u221e. It is well known that for discrete distributions such as Poisson and geometric the limiting distribution is not non-degenerate. However, by tuning the parameters of the discrete distribution to vary as n \u2192 \u221e, it is possible to obtain non-degenerate limits for (Mn\u2212b(n))/a(n). We consider four families of discrete distributions and show how this can be done.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1023/a:1024081112501", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1047855", 
        "issn": [
          "1386-1999", 
          "1572-915X"
        ], 
        "name": "Extremes", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "5"
      }
    ], 
    "name": "Asymptotics of Maxima of Discrete Random Variables", 
    "pagination": "287-294", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "5f650c29ba8ccee29e2d44114257412892969a5aaaf47f128f274a2fac80377c"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1023/a:1024081112501"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1020021561"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1023/a:1024081112501", 
      "https://app.dimensions.ai/details/publication/pub.1020021561"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T19:55", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8681_00000504.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1023%2FA%3A1024081112501"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1023/a:1024081112501'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1023/a:1024081112501'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1023/a:1024081112501'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1023/a:1024081112501'


 

This table displays all metadata directly associated to this object as RDF triples.

79 TRIPLES      21 PREDICATES      30 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1023/a:1024081112501 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N9879e3f796d94afdb085f2102459f2ef
4 schema:citation https://doi.org/10.1016/s0022-510x(99)00015-5
5 https://doi.org/10.1111/1467-9876.00097
6 https://doi.org/10.1214/aoap/1043862420
7 schema:datePublished 2002-09
8 schema:datePublishedReg 2002-09-01
9 schema:description If X1, X2,..., Xn are independent and identically distributed discrete random variables and Mn=max (X1,..., Xn) we examine the limiting behavior of (Mn−b(n))/a(n) as n → ∞. It is well known that for discrete distributions such as Poisson and geometric the limiting distribution is not non-degenerate. However, by tuning the parameters of the discrete distribution to vary as n → ∞, it is possible to obtain non-degenerate limits for (Mn−b(n))/a(n). We consider four families of discrete distributions and show how this can be done.
10 schema:genre research_article
11 schema:inLanguage en
12 schema:isAccessibleForFree false
13 schema:isPartOf N1b818410952341389d9921f9b45ba93a
14 N7a26490309364295bf048b3d16d744d7
15 sg:journal.1047855
16 schema:name Asymptotics of Maxima of Discrete Random Variables
17 schema:pagination 287-294
18 schema:productId N2143e96e29d342a1be85eaa90a2f24a8
19 N79aaa3a88bbe49c58f44a8d04a88c872
20 Ne2e6947f3034400fa25cc761e233cd06
21 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020021561
22 https://doi.org/10.1023/a:1024081112501
23 schema:sdDatePublished 2019-04-10T19:55
24 schema:sdLicense https://scigraph.springernature.com/explorer/license/
25 schema:sdPublisher N563eacaf47de4fd1974bcb7c3f1770ec
26 schema:url http://link.springer.com/10.1023%2FA%3A1024081112501
27 sgo:license sg:explorer/license/
28 sgo:sdDataset articles
29 rdf:type schema:ScholarlyArticle
30 N1b818410952341389d9921f9b45ba93a schema:issueNumber 3
31 rdf:type schema:PublicationIssue
32 N2143e96e29d342a1be85eaa90a2f24a8 schema:name dimensions_id
33 schema:value pub.1020021561
34 rdf:type schema:PropertyValue
35 N563eacaf47de4fd1974bcb7c3f1770ec schema:name Springer Nature - SN SciGraph project
36 rdf:type schema:Organization
37 N79aaa3a88bbe49c58f44a8d04a88c872 schema:name doi
38 schema:value 10.1023/a:1024081112501
39 rdf:type schema:PropertyValue
40 N7a26490309364295bf048b3d16d744d7 schema:volumeNumber 5
41 rdf:type schema:PublicationVolume
42 N9879e3f796d94afdb085f2102459f2ef rdf:first sg:person.016342517733.01
43 rdf:rest Nc537df973f444915a849175c2c398a09
44 Nc537df973f444915a849175c2c398a09 rdf:first sg:person.07350445645.92
45 rdf:rest rdf:nil
46 Ncee59d41da5c4a5cb7e2ca69e3ed77ec schema:name Department of Informatics and Mathematics, Airforce Academy “G. Benkovski”, Pleven, Bulgaria
47 rdf:type schema:Organization
48 Ne2e6947f3034400fa25cc761e233cd06 schema:name readcube_id
49 schema:value 5f650c29ba8ccee29e2d44114257412892969a5aaaf47f128f274a2fac80377c
50 rdf:type schema:PropertyValue
51 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
52 schema:name Mathematical Sciences
53 rdf:type schema:DefinedTerm
54 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
55 schema:name Pure Mathematics
56 rdf:type schema:DefinedTerm
57 sg:journal.1047855 schema:issn 1386-1999
58 1572-915X
59 schema:name Extremes
60 rdf:type schema:Periodical
61 sg:person.016342517733.01 schema:affiliation https://www.grid.ac/institutes/grid.170693.a
62 schema:familyName Nadarajah
63 schema:givenName Saralees
64 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016342517733.01
65 rdf:type schema:Person
66 sg:person.07350445645.92 schema:affiliation Ncee59d41da5c4a5cb7e2ca69e3ed77ec
67 schema:familyName Mitov
68 schema:givenName Kosto
69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07350445645.92
70 rdf:type schema:Person
71 https://doi.org/10.1016/s0022-510x(99)00015-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009897116
72 rdf:type schema:CreativeWork
73 https://doi.org/10.1111/1467-9876.00097 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010941488
74 rdf:type schema:CreativeWork
75 https://doi.org/10.1214/aoap/1043862420 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064397798
76 rdf:type schema:CreativeWork
77 https://www.grid.ac/institutes/grid.170693.a schema:alternateName University of South Florida
78 schema:name Department of Mathematics, University of South Florida, 33620, Tampa, Florida, USA
79 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...