In this article, the problem of estimating the parameters of the gamma distribution under censored data conditions in incomplete statistical models is considered. Numerical maximum likelihood methods are analyzed, including the Nelder-Mead and Expectation-Maximization (EM) algorithms, which are applied for estimating the distribution parameters. A comparison of estimation accuracy at different levels of censoring is conducted, allowing the identification of the advantages and limitations of each method. The obtained results show that the EM algorithm provides higher estimation accuracy under censoring conditions, while the Nelder-Mead method demonstrates stable results under full observation. The influence of the proportional hazards model on parameter estimation under dependent censoring is also examined. This study expands the investigation of numerical methods for estimating distribution parameters under incomplete data conditions, offering recommendations on selecting the most effective method depending on the sample characteristics and the level of censoring.
| Mualliflar | Berdimuradov , M.B., Бердимурадов , М.Б. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-03-22 |
| Son | 1 |
| Betlar | 116-128 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.71310/pcam.1_63.2025.09 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.1_63.2025.09 · Maqolaning asl sahifasi
Gamma distribution, Nelder-Mead simplex algorithm, Expectation-Maximization, Maximum Likelihood Estimation, Right-censoring, Proportional hazards model, гамма-распределение, симплекс-алгоритм Нелдера-Мида, метод ожидания-максимизации, метод максимального правдоподобия, правоцензурирование, модель пропорциональных рисков
| APA | Berdimuradov , M.B., & Бердимурадов , М.Б. (2025). Comparative analysis of unknown parameter estimation of the gamma distribution with right-censored data in incomplete statistical models. Ҳисоблаш ва амалий математика муаммолари, (1), 116-128. https://doi.org/10.71310/pcam.1_63.2025.09 |
|---|---|
| GOST (OAK) | Berdimuradov , M.B., Бердимурадов , М.Б. Comparative analysis of unknown parameter estimation of the gamma distribution with right-censored data in incomplete statistical models // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 1. – P. 116-128. – DOI: 10.71310/pcam.1_63.2025.09. |
| MLA | Berdimuradov , M.B., and Бердимурадов , М.Б. “Comparative analysis of unknown parameter estimation of the gamma distribution with right-censored data in incomplete statistical models.” Ҳисоблаш ва амалий математика муаммолари, (1), 116-128, 2025. https://doi.org/10.71310/pcam.1_63.2025.09 |
| Chicago | Berdimuradov , M.B., and Бердимурадов , М.Б. “Comparative analysis of unknown parameter estimation of the gamma distribution with right-censored data in incomplete statistical models.” Ҳисоблаш ва амалий математика муаммолари, (1), 116-128 (2025). https://doi.org/10.71310/pcam.1_63.2025.09 |
| Harvard | Berdimuradov , M.B., and Бердимурадов , М.Б (2025) ‘Comparative analysis of unknown parameter estimation of the gamma distribution with right-censored data in incomplete statistical models’, Ҳисоблаш ва амалий математика муаммолари, (1), 116-128. https://doi.org/10.71310/pcam.1_63.2025.09 |
| BibTeX | @article{berdimuradovmb2025,
title = {Comparative analysis of unknown parameter estimation of the gamma distribution with right-censored data in incomplete statistical models},
author = {Berdimuradov , M.B. and Бердимурадов , М.Б.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {1},
pages = {116-128},
doi = {10.71310/pcam.1_63.2025.09},
url = {https://doi.org/10.71310/pcam.1_63.2025.09}
} |
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