New results on the NBUFR and NBUE
 classes of life distributions

E. M. Shokry; A. N. Ahmed; E. A. Rakha; H. M. Hewedi

doi:10.4064/am36-2-2

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New results on the NBUFR and NBUE classes of life distributions

Volume 36 / 2009

E. M. Shokry, A. N. Ahmed, E. A. Rakha, H. M. Hewedi Applicationes Mathematicae 36 (2009), 139-147 MSC: Primary 62N05; Secondary 60E15, 62G05, 62G10. DOI: 10.4064/am36-2-2

Abstract

Some properties of the “new better than used in failure rate” (NBUFR) and the “new better than used in expectation” (NBUE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behaviors. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.

Authors

E. M. ShokryMinistry of Communications
and Information Technology
Cairo, Egypt
e-mail
A. N. AhmedDepartment of Mathematical Statistics
The Institute of Statistical Studies and Research
Cairo University
Cairo, Egypt
e-mail
E. A. RakhaDepartment of Mathematics
Faculty of Science, Suez Canal University
Suez, Egypt
e-mail
H. M. HewediDepartment of Mathematics
Faculty of Science, Suez Canal University
Suez, Egypt
e-mail

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