ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Runs, scans and URN model distributions: A unified Markov chain approach (1995)
    Springer
    Annals of the Institute of Statistical Mathematics 47 (1995), S. 743-766 
    Details
    ISSN: 1572-9052
    Keywords: Success runs ; scan statistics ; urn models ; Markov chains ; triangular multidimensional recurrence relations ; distributions of orderk
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents a unified approach for the study of the exact distribution (probability mass function, mean, generating functions) of three types of random variables: (a) variables related to success runs in a sequence of Bernoulli trials (b) scan statistics, i.e. variables enumerating the moving windows in a linearly ordered sequence of binary outcomes (success or failure) which contain prescribed number of successes and (c) success run statistics related to several well known urn models. Our approach is based on a Markov chain imbedding which permits the construction of probability vectors satisfying triangular recurrence relations. The results presented here cover not only the case of identical and independently distributed Bernoulli variables, but the non-identical case as well. An extension to models exhibiting Markov dependence among the successive trials is also discussed in brief.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01856545
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On a waiting time distribution in a sequence of Bernoulli trials (1996)
    Springer
    Annals of the Institute of Statistical Mathematics 48 (1996), S. 789-806 
    Details
    ISSN: 1572-9052
    Keywords: Waiting times ; success runs ; scans ; distributions of order k ; Fibonacci numbers ; unimodality ; Markov dependence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In the present article we investigate the exact distribution of the waiting time for the r-th non-overlapping appearance of a pair of successes separated by at mosk k−2 failures (k≥2) in a sequence of independent and identically distributed (iid) Bernoulli trials. Formulae are provided for the probability distribution function, probability generating function and moments and some asymptotic results are discussed. Expressions in terms of certain generalised Fibonacci numbers and polynomials are also included.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00052333
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    On a generalization of Morisita's model for estimating the habitat preference (1993)
    Springer
    Annals of the Institute of Statistical Mathematics 45 (1993), S. 201-210 
    Details
    ISSN: 1572-9052
    Keywords: Eulerian numbers ; Gould and Hopper numbers ; minimum chi-square estimation ; unimodality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The Morisita's model for estimating the habitat preference by the ant lionsGenuroides japonicus is generalized by introducing, in addition to the environmental densitiesa andb, a repulsivity parameter ϑ. The probability function of the numberL n of individuals choosing fine sand to settle when a total ofn ant lions are introduced is examined. A heuristic and the minimum chi-square methods for estimating the parametersa, b and ϑ are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00775807
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Waiting Time Distributions Associated with Runs of Fixed Length in Two-State Markov Chains (1997)
    Springer
    Annals of the Institute of Statistical Mathematics 49 (1997), S. 123-139 
    Details
    ISSN: 1572-9052
    Keywords: Waiting time distributions ; success runs ; distributions of order k ; negative binomial distributions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In the present article a general technique is developed for the evaluation of the exact distribution in a wide class of waiting time problems. As an application the waiting time for the r-th appearance of success runs of specified length in a sequence of outcomes evolving from a first order two-state Markov chain is systematically investigated and asymptotic results are established. Several extensions and generalisations are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1003118807148
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    facet.materialart.
    Unknown
    A flexible family of transformation cure rate models (2017)
    Wiley
    Details
    Publication Date: 2017-04-17
    Print ISSN: 0277-6715
    Electronic ISSN: 1097-0258
    Topics: Mathematics , Medicine
    Published by Wiley
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...