PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL

Ahmed Salih; Amal Sadeq Hamoodi

PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL

Abstract

We propose the Sine Alpha Power Burr XII (SAP Burr XII) distribution, obtained by applying the Sine Alpha Power transformation to the Burr XII distribution. and develop an accelerated failure time (AFT) regression model, with parameters estimated via maximum likelihood. A simulation study across various sample sizes confirms the consistency of the estimators. Additionally, model diagnostics based on Cox–Snell, deviance, and randomized quantile residuals are examined. Application to a real lung cancer dataset demonstrates that the SAP Burr XII model outperforms classical AFT models.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Statistics

Journal Section

Research Article

Authors

Ahmed Salih ^*
0000-0002-6109-224X
Iraq

Amal Sadeq Hamoodi This is me
0000-0001-7496-7933
Iraq

Publication Date

September 7, 2026

Submission Date

August 15, 2025

Acceptance Date

February 17, 2026

Published in Issue

Year 2026 Volume: 16 Number: 9

IZ

https://izlik.org/JA64BJ66LT

Cite

RIS / Bibtex

APA

Salih, A., & Hamoodi, A. S. (2026). PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL. TWMS Journal of Applied and Engineering Mathematics, 16(9), 1057-1077. https://izlik.org/JA64BJ66LT

AMA

1.Salih A, Hamoodi AS. PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL. JAEM. 2026;16(9):1057-1077. https://izlik.org/JA64BJ66LT

Chicago

Salih, Ahmed, and Amal Sadeq Hamoodi. 2026. “PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL”. TWMS Journal of Applied and Engineering Mathematics 16 (9): 1057-77. https://izlik.org/JA64BJ66LT.

EndNote

Salih A, Hamoodi AS (September 1, 2026) PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL. TWMS Journal of Applied and Engineering Mathematics 16 9 1057–1077.

IEEE

[1]A. Salih and A. S. Hamoodi, “PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL”, JAEM, vol. 16, no. 9, pp. 1057–1077, Sept. 2026, [Online]. Available: https://izlik.org/JA64BJ66LT

ISNAD

Salih, Ahmed - Hamoodi, Amal Sadeq. “PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL”. TWMS Journal of Applied and Engineering Mathematics 16/9 (September 1, 2026): 1057-1077. https://izlik.org/JA64BJ66LT.

JAMA

1.Salih A, Hamoodi AS. PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL. JAEM. 2026;16:1057–1077.

MLA

Salih, Ahmed, and Amal Sadeq Hamoodi. “PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 9, Sept. 2026, pp. 1057-7, https://izlik.org/JA64BJ66LT.

Vancouver

1.Ahmed Salih, Amal Sadeq Hamoodi. PROPERTIES AND REAL DATA APPLICATION OF THE SINE ALPHA POWER BURR XII REGRESSION MODEL. JAEM [Internet]. 2026 Sep. 1;16(9):1057-7. Available from: https://izlik.org/JA64BJ66LT