title: ÐÐ°ÑÐµÐ³Ð¾ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð°Ð½Ð½ÑÑ ÑÐ¸Ð¿Ð° Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¶Ð¸Ð·Ð½Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Categorical methods of lifetime data analysis
Creators: name: ÐÐ¸ÑÐ°ÑÐ¸Ð½Ð°, Ð¢Ð°ÑÑÑÐ½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð°Ð½Ð°Ð»Ð¸Ð· Ð²ÑÐ¶Ð¸Ð²Ð°ÐµÐ¼Ð¾ÑÑÐ¸
ÑÐµÐ½Ð·ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ¿ÑÐ°Ð²Ð°
ÐºÐ°ÑÐµÐ³Ð¾ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ
ÑÑÐ¾Ñ Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð¾ÑÑÐ´ÐºÐ¸
Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ²ÐµÐ½Ð½ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ
Ð¾ÑÐµÐ½ÐºÐ° ÐÐµÐ»ÑÑÐ¾Ð½Ð°-ÐÐ°Ð»ÐµÐ½Ð°
Ð¾ÑÐµÐ½ÐºÐ° ÐÐ°Ð¿Ð»Ð°Ð½Ð°-ÐÐµÐ¹ÐµÑÐ°
survival analysis
right censoring
categorical methods
stochastic orders
multiple comparison
Nelson-Aalen estimator
Kaplan-Meyer estimator

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description: Ð¡ategorical methods of right censored survival data analysis are investigated in this work. Lifetime censored data models are widely used in medicine, biology, economics, reliability theory and a number of other fields of knowledge. Problems solved in this work: 1. The study of the theoretical foundations of the survival analysis. 2. Construction of Wald-type tests for categorical analysis of right-censored lifetime data that based on Nelson-Aalen and Kaplan-Meyer estimates. 3. Verification of the properties of the constructed asymptotic tests on small samples. 4. Comparative analysis of the power of the constructed tests and linear rank tests for a certain class of alternatives. 5. The study of the theoretical foundations of the properties of stochastic ordering of distributions. 6. Development of methods for searching and checking weak stochastic orders of failure time distributions in various observation groups. 7. Comparison of the efficiency of Scheffeâs and Bonferroniâs multiple estimation methods for searching and testing statistical significance of weak stochastic orders. 8. Implementation of a package of functions for categorical analysis and the searching/checking significance of weak stochastic orders in the R programming environment. 9. Conducting astatistical analysis of the results of task execution on a supercomputer at the Polytechnic Scientific Research Center, namely, checking the statistical significance of differences in distributions in groups, searching and checking of weak stochastic orders.