Contributions to probability : a collection of papers dedicated to Eugene Lukacs / edited by J. Gani, V. K. Rohatgi.

Colaborador(es): Lukacs, Eugene, 1906-1987 | Gani, J. M. (Joseph Mark) [edt] | Rohatgi, V. K, 1939- [edt]Editor: New York : Academic Press, 1981Descripción: xxi, 311 p. : retr. ; 24 cmISBN: 0122744608Tema(s): Probabilities -- Addresses, essays, lectures | Lukacs, EugeneOtra clasificación: 60-06 (62-06)
Contenidos:
Part I. Probability: Paul Erdös and Melvyn B. Nathanson, Lagrange's theorem and thin subsequences of squaresD. A. Kappos, A kind of random (= stochastic) integralH.-J. Rossberg, B. Jesiak and G. Siegel, Continuation of distribution functionsLajos Takács, The arc sine law of Paul LévyHarald Bergström, General limit theorems for products with applications to convolution products of measuresP. L. Butzer, L. Hahn and M. Th. Roeckerath, Stable limit law and weak law of large numbers for Hilbert space with "large-$ scr O$" ratesRoger Cuppens, The arithmetic of distribution functionsCarl-Gustav Esseen, On the tails of a class of infinitely divisible distributionsR. G. Laha and V. K. Rohatgi, Fourier transform methods in the study of limit theorems in a Hilbert spaceM. Rosenblatt, Polynomials in Gaussian variables and infinite divisibility?M. Csörgö and P. Révész, On the nondifferentiability of the Wiener sheetJ. Gani and R. Morton, The degree of vertices on a randomly growing treeTatsuo Kawata, Uniform convergence of random trigonometric series and sample continuity of weakly stationary processesMichel Métivier, Stochastic equations driven by random measures and semimartingales.
Part II. Applications of probability: J. Aczél, Derivations and information functions (a tale of two surprises and a half)L. A. Shepp and I. Olkin, Entropy of the sum of independent Bernoulli random variables and of the multinomial distributionIstván Vincze, On the concept and measure of information contained in an observationSándor Csörgö, The empirical characteristic process when parameters are estimatedM. Deistler and G. Tintner, IdentifiabilityDaniel Dugué, On a multivariate extension of the Behrens-Fisher lawB. Gyires, Constant regression of quadratic statistics on the sum of random variables defined on a Markov chainMadan L. Puri and Lanh T. Tran, Invariance principles for rank statistics for testing independenceV. M. Zolotarev, Integral transformations of distributions and estimates of parameters of multidimensional spherically symmetric stable laws.
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"Eugene Lukas: bibliography": p. 307-311.

Incluye referencias bibliográficas.

Part I. Probability: Paul Erdös and Melvyn B. Nathanson, Lagrange's theorem and thin subsequences of squares -- D. A. Kappos, A kind of random (= stochastic) integral -- H.-J. Rossberg, B. Jesiak and G. Siegel, Continuation of distribution functions -- Lajos Takács, The arc sine law of Paul Lévy -- Harald Bergström, General limit theorems for products with applications to convolution products of measures -- P. L. Butzer, L. Hahn and M. Th. Roeckerath, Stable limit law and weak law of large numbers for Hilbert space with "large-$ scr O$" rates -- Roger Cuppens, The arithmetic of distribution functions -- Carl-Gustav Esseen, On the tails of a class of infinitely divisible distributions -- R. G. Laha and V. K. Rohatgi, Fourier transform methods in the study of limit theorems in a Hilbert space -- M. Rosenblatt, Polynomials in Gaussian variables and infinite divisibility? -- M. Csörgö and P. Révész, On the nondifferentiability of the Wiener sheet -- J. Gani and R. Morton, The degree of vertices on a randomly growing tree -- Tatsuo Kawata, Uniform convergence of random trigonometric series and sample continuity of weakly stationary processes -- Michel Métivier, Stochastic equations driven by random measures and semimartingales.

Part II. Applications of probability: J. Aczél, Derivations and information functions (a tale of two surprises and a half) -- L. A. Shepp and I. Olkin, Entropy of the sum of independent Bernoulli random variables and of the multinomial distribution -- István Vincze, On the concept and measure of information contained in an observation -- Sándor Csörgö, The empirical characteristic process when parameters are estimated -- M. Deistler and G. Tintner, Identifiability -- Daniel Dugué, On a multivariate extension of the Behrens-Fisher law -- B. Gyires, Constant regression of quadratic statistics on the sum of random variables defined on a Markov chain -- Madan L. Puri and Lanh T. Tran, Invariance principles for rank statistics for testing independence -- V. M. Zolotarev, Integral transformations of distributions and estimates of parameters of multidimensional spherically symmetric stable laws.

MR, 82f:60005

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