{IFRA*t0} and {NBU*t0} classes of life distributions

Li Zehui; Li Xiaohu

doi:10.1016/S0378-3758(97)00188-2

{IFRAt₀} and {NBUt₀} classes of life distributions

Li Zehui
, Li Xiaohu

Department of Mathematical Sciences

Lanzhou University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The properties of IFRA and NBU of a component have been widely used in the theory of engineering reliability. In this paper, we deal with two new classes {IFRA*t₀} and {NBU*t₀} of life distributions. The first is characterized by an increasing failure rate average after t₀, while for the second the life length of a new item is stochastically larger than the residual life length after t₀. The properties of these classes are studied in detail. Furthermore, a nonparametric test is proposed which is designed to test the hypothesis whether a NBU*t₀ element is strictly new better than used after time t₀.

Original language	English
Pages (from-to)	191-200
Number of pages	10
Journal	Journal of Statistical Planning and Inference
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/S0378-3758(97)00188-2
State	Published - 15 Jul 1998

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title = "\{IFRA*t0\} and \{NBU*t0\} classes of life distributions",

abstract = "The properties of IFRA and NBU of a component have been widely used in the theory of engineering reliability. In this paper, we deal with two new classes \{IFRA*t0\} and \{NBU*t0\} of life distributions. The first is characterized by an increasing failure rate average after t0, while for the second the life length of a new item is stochastically larger than the residual life length after t0. The properties of these classes are studied in detail. Furthermore, a nonparametric test is proposed which is designed to test the hypothesis whether a NBU*t0 element is strictly new better than used after time t0.",

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AU - Xiaohu, Li

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N2 - The properties of IFRA and NBU of a component have been widely used in the theory of engineering reliability. In this paper, we deal with two new classes {IFRA*t0} and {NBU*t0} of life distributions. The first is characterized by an increasing failure rate average after t0, while for the second the life length of a new item is stochastically larger than the residual life length after t0. The properties of these classes are studied in detail. Furthermore, a nonparametric test is proposed which is designed to test the hypothesis whether a NBU*t0 element is strictly new better than used after time t0.

AB - The properties of IFRA and NBU of a component have been widely used in the theory of engineering reliability. In this paper, we deal with two new classes {IFRA*t0} and {NBU*t0} of life distributions. The first is characterized by an increasing failure rate average after t0, while for the second the life length of a new item is stochastically larger than the residual life length after t0. The properties of these classes are studied in detail. Furthermore, a nonparametric test is proposed which is designed to test the hypothesis whether a NBU*t0 element is strictly new better than used after time t0.

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EP - 200

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

{IFRAt₀} and {NBUt₀} classes of life distributions

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