STATISTICS AND ITS APPLICATIONS. APPLIED STATISTICAL PROBLEMS FOR COMPLETE AND INCOMPLETE DATA

      Аннотация: This book contains selected articles from the 6th International Conference on Statistics and its Applications. In these articles, the problems of applied statistics are investigated on the basis of complete and incomplete data. New estimates are constructed for the functionals of multidimensional distributions using the copula method with known and estimated copulas. Then estimators constructed are tested on different samples and some asymptotic results will be obtained for censored models in the presence of covariates. The uniform consistency and robustness properties of the proposed estimates are proved, studied minimum distance methods and their applications. The results can be used in nonparametric statistics, in the analysis of statistical data found in the theory of reliability, in insurance, in demography, and in reading special courses in mathematical statistics.

Ключевые слова: statistics of incomplete observations, survival function, statistical estimation, incomplete data, copula function