Characterization Problems in Mathematical Statistics

✍ Scribed by A.M. Kagan, etc., IuriiVladimirovich Linnik, C. Radhakrishna Rao, Balasubrahmanyan Ramachandran

• Publisher: John Wiley & Sons Inc
• Year: 1973
• Tongue: English, Russian
• Leaves: 511
• Series: Wiley Series in Probability & Mathematical Statistics
• Category: Library

✦ Table of Contents

Content: Preliminary information and auxiliary tools --
Identically distributed linear statistics based on a random sample --
Independent linear statistics. Modifications. Relativistic linear statistics --
Independent nonlinear statistics. Random linear statistics --
Regression problems connected with linear statistics --
Regression problems for nonlinear statistics --
Characterizations of distributions through the properties of admissibility and optimality of certain estimators --
Characterization of families of distributions admitting sufficient statistics --
Stability in characterization problems --
Characterization of random vectors with linear structure --
Polynomial statistics of a normal sample --
Characterizations of sequential estimation plans --
Other characteristic properties of distributions --
Unsolved problems.

✦ Subjects

Mathematical statistics;statistique mathématique;estimation;échantillonnage;distribution;Statistique mathématique;Mathématiques;Statistique;Statistik;Wahrscheinlichkeitsrechnung;Mathematics;Statistics;Statistical mathematics -- Characteristic functions