Statistická analýza cenzorovaných dat

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Bah, Abdoulie B

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C

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Vysoké učení technické v Brně. Fakulta strojního inženýrství

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Abstract

This thesis deal with the statistical analysis of censored data by means of simulation studies on the weibull, log-Normal, and gamma distributions. The simulations are carry out by 10,000 repetitions at different parameter settings, sample sizes (n) and censoring schemes. For to all distributions, the obtained results exhibit the accuracy of parameters for larger sample sizes (n), as well as the reliability of parameters to different combinations of the parameters values. The results support the idea that sample size is a key factor in the enhancement of the accuracy of the parameter estimates in the cases of censored data, detailed simulation results are provided including tables and figures illustrating the estimator’s behaviour under different conditions. These findings offer valuable insights for statistical inference involving censored data in various practical applications.
This thesis deal with the statistical analysis of censored data by means of simulation studies on the weibull, log-Normal, and gamma distributions. The simulations are carry out by 10,000 repetitions at different parameter settings, sample sizes (n) and censoring schemes. For to all distributions, the obtained results exhibit the accuracy of parameters for larger sample sizes (n), as well as the reliability of parameters to different combinations of the parameters values. The results support the idea that sample size is a key factor in the enhancement of the accuracy of the parameter estimates in the cases of censored data, detailed simulation results are provided including tables and figures illustrating the estimator’s behaviour under different conditions. These findings offer valuable insights for statistical inference involving censored data in various practical applications.

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Citation

BAH, A. Statistická analýza cenzorovaných dat [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2024.

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Language of document

en

Study field

bez specializace

Comittee

doc. Ing. Luděk Nechvátal, Ph.D. (předseda) prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda) prof. Mgr. Pavel Řehák, Ph.D. (člen) doc. RNDr. Jiří Tomáš, Dr. (člen) doc. Mgr. et Mgr. Aleš Návrat, Ph.D. (člen) Mariapia Palombaro (člen) Gennaro Ciampa (člen) Matteo Colangeli (člen) Carmela Scalone (člen)

Date of acceptance

2024-10-04

Defence

The student presented his master's thesis on the topic: Statistical analysis of censored data. The student presented the work, and then the reviews of the supervisor and opponent were read. The student answered the opponent's questions and explained ambiguities. doc. Tomáš asked if any other than the presented probability distributions was considered, and the student answered that no other distribution was studied. Mariapia Palombaro asked question on the applicability of the research, and the student gave an example of an application.

Result of defence

práce byla úspěšně obhájena

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