A Saddlepoint approximation of the survival functions of a linear combination of I. I. D. Chi-square random variables

Other Title(s)

التقريب بطريقة نقطة السرج Saddlepoint لتركيبة خطية من متغيرات مربع توزيع كاي المستقلة

Author

al-Mutayri, Alya

Source

Journal of the North for Basic and Applied Sciences

Issue

Vol. 5, Issue 1 (31 May. 2020), pp.70-81, 12 p.

Publisher

Northern Border University Scientific Publishing Center

Publication Date

2020-05-31

Country of Publication

Saudi Arabia

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

In this study, we improve a saddlepoint approximation technique for the computation of survival function for some complicated statistics; such as, the linear combination of i.i.d.

Chi-square random variable.

The survival function is approximated using Lugannani and Rice formula based on the cumulant generating function.

Moreover, a numerical example is provided to prove the accuracy of this method compared with other methods of approximations, such as normal approximation.

American Psychological Association (APA)

al-Mutayri, Alya. 2020. A Saddlepoint approximation of the survival functions of a linear combination of I. I. D. Chi-square random variables. Journal of the North for Basic and Applied Sciences،Vol. 5, no. 1, pp.70-81.
https://search.emarefa.net/detail/BIM-1253978

Modern Language Association (MLA)

al-Mutayri, Alya. A Saddlepoint approximation of the survival functions of a linear combination of I. I. D. Chi-square random variables. Journal of the North for Basic and Applied Sciences Vol. 5, no. 1 (May. 2020), pp.70-81.
https://search.emarefa.net/detail/BIM-1253978

American Medical Association (AMA)

al-Mutayri, Alya. A Saddlepoint approximation of the survival functions of a linear combination of I. I. D. Chi-square random variables. Journal of the North for Basic and Applied Sciences. 2020. Vol. 5, no. 1, pp.70-81.
https://search.emarefa.net/detail/BIM-1253978

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 80-81

Record ID

BIM-1253978