A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data
In this article a new flexible survival cure rate model is introduced by assuming that the number of competing causes of the event of interest follows the Flory–Schulz distribution and the competing causes follow the generalized truncated Nadarajah–Haghighi distribution. Parameter estimation for the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/24/4643 |
| _version_ | 1797456504779964416 |
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| author | Reza Azimi Mahdy Esmailian Diego I. Gallardo Héctor J. Gómez |
| author_facet | Reza Azimi Mahdy Esmailian Diego I. Gallardo Héctor J. Gómez |
| author_sort | Reza Azimi |
| collection | DOAJ |
| description | In this article a new flexible survival cure rate model is introduced by assuming that the number of competing causes of the event of interest follows the Flory–Schulz distribution and the competing causes follow the generalized truncated Nadarajah–Haghighi distribution. Parameter estimation for the proposed model is derived based on the maximum likelihood estimation method. A simulation study is performed to show the performance of the ML estimators. We discuss three real data applications related to real cancer data sets to assess the usefulness of the proposed model compared with some existing cure rate models for the sake of comparison. |
| first_indexed | 2024-03-09T16:07:50Z |
| format | Article |
| id | doaj.art-1d3bafe7c8364804a76f4d55369fb629 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T16:07:50Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-1d3bafe7c8364804a76f4d55369fb6292023-11-24T16:27:14ZengMDPI AGMathematics2227-73902022-12-011024464310.3390/math10244643A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer DataReza Azimi0Mahdy Esmailian1Diego I. Gallardo2Héctor J. Gómez3Department of Statistics And Computer Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, IranDepartment of Statistics And Computer Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, IranDepartamento de Matematica, Facultad de Ingenieria, Universidad de Atacama, Copiapo 1530000, ChileDepartamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, ChileIn this article a new flexible survival cure rate model is introduced by assuming that the number of competing causes of the event of interest follows the Flory–Schulz distribution and the competing causes follow the generalized truncated Nadarajah–Haghighi distribution. Parameter estimation for the proposed model is derived based on the maximum likelihood estimation method. A simulation study is performed to show the performance of the ML estimators. We discuss three real data applications related to real cancer data sets to assess the usefulness of the proposed model compared with some existing cure rate models for the sake of comparison.https://www.mdpi.com/2227-7390/10/24/4643cure rate modelFlory–Schulz distributiongeneralized truncated Nadarajah–Haghighi distributioncancer datamaximum likelihood estimation |
| spellingShingle | Reza Azimi Mahdy Esmailian Diego I. Gallardo Héctor J. Gómez A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data Mathematics cure rate model Flory–Schulz distribution generalized truncated Nadarajah–Haghighi distribution cancer data maximum likelihood estimation |
| title | A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data |
| title_full | A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data |
| title_fullStr | A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data |
| title_full_unstemmed | A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data |
| title_short | A New Cure Rate Model Based on Flory–Schulz Distribution: Application to the Cancer Data |
| title_sort | new cure rate model based on flory schulz distribution application to the cancer data |
| topic | cure rate model Flory–Schulz distribution generalized truncated Nadarajah–Haghighi distribution cancer data maximum likelihood estimation |
| url | https://www.mdpi.com/2227-7390/10/24/4643 |
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