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  • Cambridge University Press (CUP)  (4)
  • Mathematics  (4)
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  • Cambridge University Press (CUP)  (4)
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  • Mathematics  (4)
RVK
  • 1
    Online Resource
    Online Resource
    Lifetime regression models based on a functional equation of physical nature
    Cambridge University Press (CUP) ; 1987
    In:  Journal of Applied Probability Vol. 24, No. 1 ( 1987-03), p. 160-169
    Details
    In: Journal of Applied Probability, Cambridge University Press (CUP), Vol. 24, No. 1 ( 1987-03), p. 160-169
    Abstract: There are a number of ad hoc regression models for the statistical analysis of lifetime data, but only a few examples exist in which physical considerations are used to characterize the model. In the present paper a complete characterization of a regression model is given by solving a functional equation recurring in the literature for the case of a fatigue problem. The result is that, if the lifetime for given values of the regressor variable and the regressor variable for a given lifetime are both Weibull variables (assumptions which are well founded, at least as approximations, from extreme-value theory in some concrete applications), there are only three families of (conditional) distribution for the lifetime (or for the regressor variable). This model is then applied to a practical problem for illustration.
    Type of Medium: Online Resource
    ISSN: 0021-9002 , 1475-6072
    URL: Article
    DOI: 10.2307/3214067
    RVK:
    SA 6100
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1987
    detail.hit.zdb_id: 1474599-9
    detail.hit.zdb_id: 219147-7
    SSG: 3,2
    Location Call Number Limitation Availability
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    Online Resource
  • 2
    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
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 3
    Online Resource
    Online Resource
    An indication of the asymptotic nature of the mendelian Markov process
    Cambridge University Press (CUP) ; 1968
    In:  Journal of Applied Probability Vol. 5, No. 2 ( 1968-08), p. 350-356
    Details
    In: Journal of Applied Probability, Cambridge University Press (CUP), Vol. 5, No. 2 ( 1968-08), p. 350-356
    Abstract: Consider a finite Markov process { X n } described by the one-step transition probabilities In describing the transition probabilities in the above manner we are adopting the convention that (0) 0 = 1 so that the states 0 and M are absorbing, and the states 1,2,···,M-1 are transient.
    Type of Medium: Online Resource
    ISSN: 0021-9002 , 1475-6072
    URL: Article
    DOI: 10.2307/3212257
    RVK:
    SA 6100
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1968
    detail.hit.zdb_id: 1474599-9
    detail.hit.zdb_id: 219147-7
    SSG: 3,2
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 4
    Online Resource
    Online Resource
    The non-renewal nature of the quasi-input process in the M / G /1/∞ queue
    Cambridge University Press (CUP) ; 1986
    In:  Journal of Applied Probability Vol. 23, No. 3 ( 1986-09), p. 803-811
    Details
    In: Journal of Applied Probability, Cambridge University Press (CUP), Vol. 23, No. 3 ( 1986-09), p. 803-811
    Abstract: Falin (1984) examined the quasi-input process (the flow of service starting times) in the M/G /1/∞ queue and raised the question as to whether this process is a renewal process. We show that, except in the trivial case of instantaneous service, the quasi-input process is never renewal.
    Type of Medium: Online Resource
    ISSN: 0021-9002 , 1475-6072
    URL: Article
    DOI: 10.2307/3214017
    RVK:
    SA 6100
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1986
    detail.hit.zdb_id: 1474599-9
    detail.hit.zdb_id: 219147-7
    SSG: 3,2
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
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