A Modern Course on Statistical Distributions in Scientific Work
Editat de Ganapati P Patil, S. Kotz, J K Orden Limba Engleză Paperback – 14 oct 2011
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Specificații
ISBN-13: 9789401018449
ISBN-10: 9401018448
Pagini: 424
Ilustrații: XX, 424 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.67 kg
Ediția:Softcover Reprint of the Original 1st 1975 edition
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9401018448
Pagini: 424
Ilustrații: XX, 424 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.67 kg
Ediția:Softcover Reprint of the Original 1st 1975 edition
Editura: Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
1. Inaugural Address.- 1.1 Concept and Conduct of Calgary Course and Conference: Some Thoughts.- 2. Power Series and Related Families.- 2.1 Some Recent Advances with Power Series Distributions.- 2.2 Multiparameter Stirling and C-Type Distributions.- 2.3 Models for Gaussian Hypergeometric Distributions.- 2.4 On the Probabilistic Structure and Properties of Discrete Lagrangian Distributions.- 2.5 Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions.- 2.6 A Characteristic Property of Certain Generalized Power Series Distributions.- 3. Recent Trends in Univariate Models.- 3.1 Stable Distributions: Probability, Inference, and Applications in Finance—A Survey, and a Review of Recent Results.- 3.2 Structural Properties and Statistics of Finite Mixtures.- 3.3 Distribution Theory for the von Mises-Fisher Distribution and Its Application.- 3.4 Certain Statistical Distributions Involving Special Functions and Their Applications.- 3.5 Tailweight, Statistical Inference and Families of Distributions — A Brief Survey.- 3.6 The Families With a “Universal” Location Estimator.- 4. Moments-Related Problems.- 4.1 Approximation Theory, Moment Problems and Distribution Functions.- 4.2 Kurtosis and Departure From Normality.- 4.3 Convergence of Sequences of Transformations of Distribution Functions and Some Moment Problems.- 5. Limit Distributions and Processes.- 5.1 Weak Convergence for Exponential and Monotone Likelihood Ratio Families and the Convergence of Confidence Limits.- 5.2 On Efficiency and Exponential Families in Stochastic Process Estimation.- 5.3 A Lagrangian Gamma Distribution.- 6. Multivariate Concepts and Models.- 6.1 Multivariate Distributions at a Cross Road.- 6.2 Dependence Concepts andProbability Inequalities.- 6.3 New Families of Multivariate Distributions.- 6.4 Asymptotic Expansions for the Nonnull Distributions of the Multivariate Test Statistics.- 7. Certain Multivariate Distributions.- 7.1 A Multivariate Gamma Type Distribution Whose Marginal Laws Are Gamma, and Which Has a Property Similar to a Characteristic Property of the Normal Case.- 7.2 The Bivariate Burr Distribution.- 7.3 Multivariate Beta Distribution.- 7.4 Distribution of a Quadratic Form in Normal Vectors (Multivariate Non-Central Case).- 7.5 Bivariate and Multivariate Extreme Distributions.- 8. Sampling Distributions and Transformations.- 8.1 On the Distribution of the Minimum and of the Maximum of a Random Number of I.I.D. Random Variables.- 8.2 Transformation of the Pearson System With Special Reference to Type IV.- 8.3 Distributions of Characteristic Roots of Random Matrices.- 8.4 On the Arithmetic Means and Variances of Products and Ratios of Random Variables.- 8.5 Exact and Approximate Sampling Distribution of the F-Statistic Under the Randomization Procedure.