Author | Rychlik, Tomasz. author |
---|---|
Title | Projecting Statistical Functionals [electronic resource] / by Tomasz Rychlik |
Imprint | New York, NY : Springer New York, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2094-7 |
Descript | IX, 175 p. online resource |
1 Introduction and Notation -- 1.1 Introduction -- 1.2 Notation -- 2 Basic Notions -- 2.1 Elements of Hilbert Space Theory -- 2.2 Statistical Linear Functionals -- 2.3 Restricted Families of Distributions -- 3 Quantiles -- 3.1 General and Symmetric Distributions -- 3.2 Distributions with Monotone Density and Failure Rate -- 3.3 Distributions with Monotone Density and Failure Rate on the Average -- 3.4 Symmetric Unimodal Distributions -- 3.5 Open Problems -- 4 Order Statistics of Independent Samples -- 4.1 General and Symmetric Distributions -- 4.2 Life Distributions with Decreasing Density and Failure Rate -- 4.3 Distributions with Monotone Density and Failure Rate on the Average -- 4.4 Symmetric Unimodal Distributions -- 4.5 Bias of Quantile Estimates -- 4.6 Open Problems -- 5 Order Statistics of Dependent Observations -- 5.1 Dependent Observations with Given Marginal Distribution -- 5.2 General and Symmetric Distributions -- 5.3 Distributions with Monotone Density and Failure Rate -- 5.4 Distributions with Monotone Density and Failure Rate on the Average -- 5.5 Symmetric Unimodal and U-Shaped Distributions -- 5.6 Bias of Quantile Estimates -- 5.7 Extreme Effect of Dependence -- 5.8 Open Problems -- 6 Records and kth Records -- 6.1 Dependent Identically Distributed Observations -- 6.2 General and Symmetric Distributions -- 6.3 Life Distributions with Decreasing Density and Failure Rate -- 6.4 Increments of Records -- 6.5 Open Problems -- 7 Predictions of Order and Record Statistics -- 7.1 General Distributions -- 7.2 Distributions with Decreasing Density and Failure Rate -- 7.3 Open Problems -- 8 Further Research Directions -- References -- Author Index