Buch

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Übersicht

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Verlag	:	Springer Netherland
Buchreihe	:	NATO Science Series C (Bd. 17)
Sprache	:	Englisch
Erschienen	:	31. 05. 1975
Seiten	:	436
Einband	:	Gebunden
Höhe	:	235 mm
Breite	:	155 mm
Gewicht	:	1810 g
ISBN	:	9789027706089
Sprache	:	Englisch

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Inhaltsverzeichnis

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1. Linnik Memorial Inaugural Lecture.- 1.1 Some Problems in the Characterization of the Multivariate Normal Distribution.- 2. Mathematical Tools for Characterization Problems.- 2.1 Properties of Non-Negative Definite Solutions of Certain Ordinary Differential Equations.- 2.2 General Solution of a Functional Equation Connected With a Characterization of Statistical Distributions.- 2.3 An Extension of the Phragmén-Lindelöf Theory Which is Relevant for Characterization Theory.- 3. Characterizations Using Order Statistics.- 3.1 Characterizations of Probability Distributions by Properties of Order Statistics I.- 3.2 Characterizations of Probability Distributions by Properties of Order Statistics II.- 3.3 Characterization of Distributions Based on the “Scores” Arising in the Theory of Rank Tests.- 3.4 Characterization of Distributions by the Form of Predictors of Order Statistics.- 3.5 Characterization of the Exponential Distribution Using Lower Moments of Order Statistics.- 3.6 A Characterization of the Exponential Distribution.- 3. 7 L1-Completeness of a Class of Beta Densities.- 3.8 Expected Value of the Spacings Between Order Statistics.- 4. Characterizations by other Statistical Properties.- 4.1 Characterizations of Distributions by Statistical Properties on Groups.- 4.2 Transcendental Functions of a Vector Variable and a Characterization of a Multivariate Poisson Distribution.- 4.3 On the Conditions of Asymptotic ?-Admissibility of the Polynomial Pitman Estimators of a Location Parameter and Certain Properties of Information Measures of Closeness.- 4.4 Characterizations of the Gamma Distribution and Related Law.- 4.5 Characterization of Normal Law by Constancy of Regression.- 4.6 A Characterization of the Normal Distribution.- 5. Characterizations on Spaces andProcesses.- 5.1 On Characterization of Probability Distributions by Conditional Expectations.- 5.2 On a Characterization of Probability Distributions on Locally Compact Abelian Groups-II.- 5.3 Some Characterizations of the Exchangeable Processes and Distribution-Free Tests.- 5.4 Characterization by Functional Equations of Branching Process Limit Laws.- 6. Characterization Problems for Damaged Observations.- 6.1 Problems of Damaged Random Variables and Related Characterizations.- 6.2 On Some Characterizations of the Binomial and Poisson Distributions Based on a Damage Model.- 6.3 Some New Characterizations of Discrete Lagrangian Distributions.- 6.4 A Characterization of a Dependent Bivariate Poisson Distribution.- 7. Characterizations Using Entropy Measures and Related Problems.- 7.1 Maximum Entropy Characterizations of some Distributions.- 7.2 On Fisher’s Amount of Information for Location Family.- 7.3 Characterizations Based on Second-Order Entropy.- 7.4 Some Recent Applications of Functional Equations and Inequalities to Characterizations of Probability Distributions, Combinatorics, Information Theory and Mathematical Economics.- 8. Characterizations for Discrete Distributions and Families.- 8.1 Some Characterizations Involving Additivity and Infinite Divisibility and Their Applications to Poisson Mixtures and Poisson Sums.- 8.2 On Characterizing the Hypergeometric and Multivariate Hypergeometric Distributions.- 8.3 Characterizations of Certain Discrete Distributions.- 9. Characterizations for Continuous Distributions and Families.- 9.1 Characterizations of Directional Distributions.- 9.2 Maximum Likelihood Characterization of the von Mises Distribution.- 9.3 On Characterizing Univariate and Multivariate Exponential Distributions With Applications.- 9.4Characterizations of Linear Exponential Families.

Deine Buchhandlung

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