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  • 1
    Book
    Book
    Inequalities: Theory of Majorization and Its Applications / (2011)
    New York, NY :Springer Science+Business Media, LLC,
    Details
    Title: Inequalities: Theory of Majorization and Its Applications /
    Author: Marshall, Albert W.
    Contributer: Olkin, Ingram , Arnold, Barry C.
    Edition: 2nd ed.
    Publisher: New York, NY :Springer Science+Business Media, LLC,
    Year of publication: 2011
    Series Statement: Springer Series in Statistics
    ISBN: 978-0-387-40087-7 , 0-387-40087-7
    Type of Medium: Book
    Language: English
    URL: http://www.zentralblatt-math.org/zbmath/search/?q=an%3A05829875
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    Zuse Institute Berlin get availability status
  • 2
    Electronic Resource
    Electronic Resource
    THE LORENZ ORDER AND THE EFFECTS OF TAXATION POLICIES (1990)
    Oxford, UK : Blackwell Publishing Ltd
    Bulletin of economic research 42 (1990), S. 0 
    Details
    ISSN: 1467-8586
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Economics
    Notes: To any finite population of n individuals with associated incomes x1…, xn we can associate a Lorenz curve. By associating this population with a random variable X representing the income of a randomly chosen individual of the population, the concept of a Lorenz curve and the associated partial order (the Lorenz Order) based on nested Lorenz curves is readily extended to be defined in the class of all non-negative integrable random variables. In this context well known results on inequality attenuating and inequality rank preserving taxation policies are found to admit simple more general proofs. Some results on the effects of random taxation are also reviewed. The effects of applying different taxation policies within subpopulations lead one to consider questions regarding inequality attenuation results in mixture settings. It is observed that, more generally, inequality comparisons can be unambiguously made between any non-negative variables even if measured in dissimilar units.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1467-8586.1990.tb00477.x
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  • 3
    Electronic Resource
    Electronic Resource
    On solutions to min $$(X,{\text{ Y}})\mathop = \limits^d aX$$ and min $$(X,{\text{ Y}})\mathop = \limits^d aX\mathop = \limits^d bY$$ (1976)
    Springer
    Probability theory and related fields 35 (1976), S. 115-119 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Suppose that the minimum of a pair of independent non-negative random variables X and y has the same distribution, up to a scale factor, as the first of the two random variables. The restricted class of possible distributions for X and Y is identified. If in addition it is required that X and Y have distributions only differing by a scale factor, it is shown under mild regularity conditions that X and Y have Weibull distributions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00533315
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    The Asymptotic Distributions of Sums of Records (1999)
    Springer
    Extremes 1 (1999), S. 351-363 
    Details
    ISSN: 1572-915X
    Keywords: Beta records ; Gumbel records ; exponential records ; infinitely divisible distributions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract LetX 1,X 2... be a sequence of i.i.d. random variables and let $$X^{\left( 0 \right)} \left( { = X_1 } \right),X^{\left( 1 \right)} ,X^{\left( 2 \right)} ...$$ be the associated (upper) record sequence. Resnick (1973) identified the class of all possible limit distributions for $$X^{\left( n \right)} - b_n /a_n$$ . Here we focus on sums of records, $$T_n = \sum\nolimits_{j = 0}^n {X^{\left( j \right)} }$$ . We describe three cases in which T n can be normalized to have a non-trivial limiting distribution. The problem of identifying all possible limit laws for normalized sums of records remains open.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009933902505
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Modelling gas release event behaviour in hazardous waste tanks (1996)
    Springer
    Environmental and ecological statistics 3 (1996), S. 281-290 
    Details
    ISSN: 1573-3009
    Keywords: Hanford ; nuclear waste ; safety ; time-series
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering
    Notes: Abstract Certain radioactive waste storage tanks at the United States Department of Energy Hanford facilities continuously generate gases as a result of radiolysis and chemical reactions. The congealed sludge in these tanks traps the gases beneath it and causes the level of the waste within the tanks to rise. The waste level continues to rise until the sludge loses its buoyancy and rolls over, changing places with fluid on top. During a rollover, the trapped gases are released, resulting in a sudden drop in the waste level. This is known as a gas release event (GRE). After a GRE, the waste re-congeals and gas again accumulates, leading to another GRE. We are interested in the time between consecutive GREs. Understanding the probabilistic behaviour of the time between consecutive GREs is important because the hydrogen and nitrous oxide gases released during a GRE are flammable and the ammonia that is released is a health risk. From a safety perspective, activity around such waste tanks should be halted when a GRE is imminent. With a credible probability model for the time between consecutive GREs, we can establish time windows in which waste tank research and maintenance activities can be safely performed. We discuss the application of non-linear time series models to this problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00539367
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    The nontruncated marginal of a truncated bivariate normal distribution (1993)
    Springer
    Psychometrika 58 (1993), S. 471-488 
    Details
    ISSN: 1860-0980
    Keywords: monitored variable ; profile likelihood ; screening ; skew-normal distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Psychology
    Notes: Abstract Inference is considered for the marginal distribution ofX, when (X, Y) has a truncated bivariate normal distribution. TheY variable is truncated, but only theX values are observed. The relationship of this distribution to Azzalini's “skew-normal” distribution is obtained. Method of moments and maximum likelihood estimation are compared for the three-parameter Azzalini distribution. Samples that are uniformative about the skewness of this distribution may occur, even for largen. Profile likelihood methods are employed to describe the uncertainty involved in parameter estimation. A sample of 87 Otis test scores is shown to be well-described by this model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02294652
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Significant category clustering in free recall (1975)
    Springer
    Psychometrika 40 (1975), S. 579-581 
    Details
    ISSN: 1860-0980
    Source: Springer Online Journal Archives 1860-2000
    Topics: Psychology
    Notes: Abstract Frender and Doubilet suggest that Bousfield's ratio of repetitions (RR) is the best measure of clustering in free recall presently available. Conditioning only on the number of words recalled, they determine the mean ofRR in the absence of clustering. In this note the null variance ofRR is presented. This permits development of conservative significance tests based on the Cramér inequality.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02291560
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    Paper (German National Licenses)
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