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  • 1
    Electronic Resource
    Electronic Resource
    On an optimum test of the equality of two covariance matrices (1992)
    Springer
    Annals of the Institute of Statistical Mathematics 44 (1992), S. 357-362 
    Details
    ISSN: 1572-9052
    Keywords: Locally best invariant tests ; locally minimax tests ; type D critical region
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let X: p × 1, Y: p × 1 be independently and normally distributed p-vectors with unknown means ξ1, ξ2 and unknown covariance matrices Σ1, Σ2 (〉0) respectively. We shall show that Pillai's test, which is locally best invariant, is locally minimax for testing H 0: Σ1=Σ2 against the alternative H 1: % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiiYdd9qrFfea0dXdf9vqai-hEir8Ve% ea0de9qq-hbrpepeea0db9q8as0-LqLs-Jirpepeea0-as0Fb9pgea% 0lrP0xe9Fve9Fve9qapdbaqaaeGacaGaaiaabeqaamaabaabcaGcba% GaaeiDaiaabkhacaqGOaWaaabmaeaadaaeqaqaaiabgkHiTiaadMea% caGGPaGaaiiiaiabg2da9iaacccacqaHdpWCcaGGGaGaeyOpa4Jaai% iiaiaaicdaaSqaaiaaigdaaeqaniabggHiLdaaleaacaqGYaaabaGa% aeylaiaabgdaa0GaeyyeIuoaaaa!4E3F!\[{\rm{tr(}}\sum\nolimits_{\rm{2}}^{{\rm{ - 1}}} {\sum\nolimits_1 { - I) = \sigma 〉 0} }\]as σ→0. However this test is not of type D among G-invariant tests.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00058645
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  • 2
    Electronic Resource
    Electronic Resource
    Alternative derivations of some multivariate distributions (1977)
    Springer
    Archiv der Mathematik 28 (1977), S. 209-216 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01223911
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  • 3
    Electronic Resource
    Electronic Resource
    Alternative derivation of some complex multivariate distributions (1978)
    Springer
    Archiv der Mathematik 30 (1978), S. 215-224 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01226042
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On the distribution of a complex multivariate statistic (1971)
    Springer
    Archiv der Mathematik 22 (1971), S. 431-435 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222599
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  • 5
    Electronic Resource
    Electronic Resource
    Locally and asymptotically minimax tests of some multivariate decision problems (1971)
    Springer
    Archiv der Mathematik 22 (1971), S. 436-441 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222600
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  • 6
    Electronic Resource
    Electronic Resource
    Locally minimax test of the equality of two covariance matrices (1979)
    Springer
    Archiv der Mathematik 33 (1979), S. 583-589 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222805
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  • 7
    Electronic Resource
    Electronic Resource
    Generalized variance statistic in the testing of hypothesis in complex multivariate Gaussian distributions (1983)
    Springer
    Archiv der Mathematik 41 (1983), S. 538-543 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01198583
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  • 8
    Electronic Resource
    Electronic Resource
    An algebraic version of the central limit theorem (1978)
    Springer
    Probability theory and related fields 42 (1978), S. 129-134 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A non-commutative analogue of the central limit theorem and the weak law of large numbers has been derived, the analogues of integrable functions being non-commutative polynomials. Without the assumption of positivity higher central limit theorems hold which have no analogy in the classical probabilistic case. The treatment includes this classical case and the convergence to so-called “quasi-free states” in the quantum mechanics of bosons [3, 4].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00536048
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  • 9
    Electronic Resource
    Electronic Resource
    Locally minimax tests for a multinormal data problem (1994)
    Springer
    Metrika 41 (1994), S. 363-374 
    Details
    ISSN: 1435-926X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract LetX be ap-normal random vector with unknown mean μ and unknown covariance matrix Σ and letX be partitioned asX=(X (1) ′ ,X (2) ′ , ...,X (r) ′ )′ whereX (j) is a subvector of dimensionp j such that ∑ j=1 r p j =p. We show that the tests, obtained by Dahel (1988), are locally minimax. These tests have been derived to confront Ho: μ=0 versusH 1: μ≠0 on the basis of sample of sizeN, X 1, ..., XN, drawn fromX andr additional samples of sizeN j, U i (j) , i=1, ..., Nj, drawn fromX (1), ...X (r) respectively. We assume that the (r+1) samples are independent and thatN j〉p j forj=0, 1, ..., r (N o≡N andp o≡p). Whenr=2 andp=2, a Monte Carlo study is performed to compare these tests with the likelihood ratio test (LRT) given by Srivastava (1985). We also show that no locally most powerful invariant test exists for this problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01895329
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  • 10
    Electronic Resource
    Electronic Resource
    Pradimicins: A novel class of broad-spectrum antifungal compounds (1997)
    Springer
    European journal of clinical microbiology & infectious diseases 16 (1997), S. 93-97 
    Details
    ISSN: 1435-4373
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Pradimicins are a new class of antifungal compounds currently undergoing preclinical and early phase I clinical trials. The pradimicin structure is characterized by an aglycone of dihydrobenzo (alpha) naphthacenequinone with substitutions by a D-amino acid and hexose sugar. Pradimicins prossess a novel mechanism of action consisting of a specific binding recognition to terminal D-mannosides of the cell wall ofCandida albicans, resulting in the formation of a ternary complex consisting of D-mannoside, pradimicin, and calcium that leads to disruption of the integrity of the fungal cell membrane. Pradimicin in the form of BMS-181184 has broad-spectrum in vitro antifungal activity againstCandida spp.,Cryptococcus neoformans, Aspergillus spp., dematiaceous molds, and the Zygomycetes.Fusarium spp. are comparatively resistant to high concentrations of pradimicin. Initial in vivo studies indicate that pradimicins have antifungal activity against experimental murine disseminated candidiasis and disseminated aspergillosis. Early studies indicate an excellent therapeutic index with no major end-organ toxicity. Pradimicins warrant further investigation for treatment of opportunistic mycoses in immunocompromised hosts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01575126
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