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  • 1
    Online Resource
    Online Resource
    On the nature of the binomial distribution
    Cambridge University Press (CUP) ; 2001
    In:  Journal of Applied Probability Vol. 38, No. 1 ( 2001-03), p. 36-44
    Details
    In: Journal of Applied Probability, Cambridge University Press (CUP), Vol. 38, No. 1 ( 2001-03), p. 36-44
    Abstract: We examine how the binomial distribution B ( n , p ) arises as the distribution S n = ∑ i =1 n X i of an arbitrary sequence of Bernoulli variables. It is shown that B ( n , p ) arises in infinitely many ways as the distribution of dependent and non-identical Bernoulli variables, and arises uniquely as that of independent Bernoulli variables. A number of illustrative examples are given. The cases B (2, p ) and B (3, p ) are completely analyzed to bring out some of the intrinsic properties of the binomial distribution. The conditions under which S n follows B ( n , p ), given that S n -1 is not necessarily a binomial variable, are investigated. Several natural characterizations of B ( n , p ), including one which relates the binomial distributions and the Poisson process, are also given. These results and characterizations lead to a better understanding of the nature of the binomial distribution and enhance the utility.
    Type of Medium: Online Resource
    ISSN: 0021-9002 , 1475-6072
    URL: Article
    DOI: 10.1239/jap/996986641
    RVK:
    SA 6100
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 2001
    detail.hit.zdb_id: 1474599-9
    detail.hit.zdb_id: 219147-7
    SSG: 3,2
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  • 2
    Online Resource
    Online Resource
    Naturally graded quasi-filiform Lie algebras
    Elsevier BV ; 2002
    In:  Journal of Algebra Vol. 256, No. 1 ( 2002-10), p. 211-228
    Details
    In: Journal of Algebra, Elsevier BV, Vol. 256, No. 1 ( 2002-10), p. 211-228
    Type of Medium: Online Resource
    ISSN: 0021-8693
    URL: Article
    DOI: 10.1016/S0021-8693(02)00130-8
    RVK:
    SA 6060
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2002
    detail.hit.zdb_id: 1468947-9
    SSG: 17,1
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  • 3
    Online Resource
    Online Resource
    On certain families of naturally graded Lie algebras
    Elsevier BV ; 2002
    In:  Journal of Pure and Applied Algebra Vol. 170, No. 1 ( 2002-05), p. 1-27
    Details
    In: Journal of Pure and Applied Algebra, Elsevier BV, Vol. 170, No. 1 ( 2002-05), p. 1-27
    Type of Medium: Online Resource
    ISSN: 0022-4049
    URL: Article
    DOI: 10.1016/S0022-4049(01)00085-8
    RVK:
    SA 6440
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2002
    detail.hit.zdb_id: 1466510-4
    SSG: 17,1
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  • 4
    Online Resource
    Online Resource
    Research Strategies Used by OR/MS Workers: Extension of the Analysis of U.S. Flagship Journals to the United Kingdom
    Institute for Operations Research and the Management Sciences (INFORMS) ; 2000
    In:  Operations Research Vol. 48, No. 4 ( 2000-08), p. 527-534
    Details
    In: Operations Research, Institute for Operations Research and the Management Sciences (INFORMS), Vol. 48, No. 4 ( 2000-08), p. 527-534
    Abstract: Reisman and Kirschnick (1995) have defined seven process categories among OR/MS research strategies and analysed the contents of U.S. flagship OR/MS journals in 1992 to examine how often OR/MS workers use these processes. We have applied their method of analysis to the 1994 contents of the U.K. flagship journal, the Journal of the Operational Research Society. As well as providing some insight into the nature of OR/MS research in the United Kingdom, the results enable a comparison to be made with the results from the U.S. flagship journals. The findings confirm that the ripple process is dominantly used in theoretical research, and the transfer-of-technology process is the one most frequently used in true applications in the United Kingdom as well as the United States. Because the literature is dominated by theoretical research using a ripple strategy, the discrimination achieved by the classification is limited. To provide further discrimination an alternative categorisation is used to analyse the nature of research output, distinguishing between the object (material, social, personal) and the objective (knowledge, function, purpose) of the research. The paper proposes that the analysis of the content of research, using a method such as Reisman and Kirschnick's categorisation, could be used for the evaluation of OR/MS research output to complement citation analysis and peer reviews.
    Type of Medium: Online Resource
    ISSN: 0030-364X , 1526-5463
    URL: Article
    DOI: 10.1287/opre.48.4.527.12415
    RVK:
    SA 7410
    Language: English
    Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
    Publication Date: 2000
    detail.hit.zdb_id: 2019440-7
    detail.hit.zdb_id: 123389-0
    SSG: 3,2
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