Estimating of Survival Function under Type One Censoring Sample for Mixture Distribution

Qesma S. Abadi; Iden H. AL-Kanani

doi:10.30526/33.4.2515

Article Details

Estimating of Survival Function under Type One Censoring Sample for Mixture Distribution

Authors:

Qesma S. Abadi | Iden H. AL-Kanani

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.33 Issue 4, pp.102-109

Document Type:

Article

Publication Date:

10/2020

Document Language:

English

Document ID (Org No.):

2001377777

pISSN:

2521-3407

DOI:

10.30526/33.4.2515

Keywords:

Abstract:

 In this article, it is interesting to estimate and derive the three parameters which contain two scales parameters and one shape parameter of a new mixture distribution for the singly type one censored data which is the branch of right censored sample. Then to define some special mathematical and statistical properties for this new mixture distribution which is considered one of the continuous distributions characterized by its flexibility. Next,  using maximum likelihood estimator method for singly type one censored data based on the Newton-Raphson matrix procedure to find and estimate values of these three parameter by utilizing the real data taken from the National Center for Research and Treatment of Hematology/University of Mustansiriyah for leukemia diseases. After that we find and derive the estimate of probability density function, estimate survival function and finally estimate the hazard function.

Article Details

Estimating of Survival Function under Type One Censoring Sample for Mixture Distribution

Authors:

Qesma S. Abadi | Iden H. AL-Kanani

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.33 Issue 4, pp.102-109

Document Type:

Article

Publication Date:

10/2020

Document Language:

English

Document ID (Org No.):

2001377777

pISSN:

2521-3407

DOI:

10.30526/33.4.2515

New Mixture Distribution (NMD)

Maximum likelihood estimation method (MLEM)

Type- one censored sample data

Hazard function

Issues

Article Details

Estimating of Survival Function under Type One Censoring Sample for Mixture Distribution

Authors: Qesma S. Abadi | Iden H. AL-Kanani

Publisher: University of Baghdad

Journal: Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.33 Issue 4, pp.102-109

Document Type: Article

Publication Date: 10/2020

Document Language: English

Document ID (Org No.): 2001377777

pISSN: 2521-3407

DOI: 10.30526/33.4.2515

New Mixture Distribution (NMD)

Maximum likelihood estimation method (MLEM)

Type- one censored sample data

Hazard function

Issues

Authors:

Qesma S. Abadi | Iden H. AL-Kanani

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.33 Issue 4, pp.102-109

Document Type:

Article

Publication Date:

10/2020

Document Language:

English

Document ID (Org No.):

2001377777

pISSN:

2521-3407

DOI:

10.30526/33.4.2515