Stochastic Properties of Life Distribution with Increasing Tail Failure Rate and Nonparametric Testing Procedure

2018 ◽  
Vol 18 (3) ◽  
pp. 220-228
Author(s):  
Jae-Hak Lim ◽  
Dong Ho Park
Keyword(s):  
Failure Rate ◽  
Testing Procedure ◽  
Life Distribution ◽  
Nonparametric Testing ◽  
Stochastic Properties

Failure distributions of shock models

1980 ◽  
Vol 17 (03) ◽  
pp. 745-752 ◽  
Author(s):  
Gary Gottlieb
Keyword(s):  
Failure Rate ◽  
Sufficient Conditions ◽  
Cumulative Damage ◽  
Shock Model ◽  
Life Distribution ◽  
Increasing Failure Rate ◽  
Shock Models ◽  
Damage Process

A single device shock model is studied. The device is subject to some damage process. Under the assumption that as the cumulative damage increases, the probability that any additional damage will cause failure increases, we find sufficient conditions on the shocking process so that the life distribution will be increasing failure rate.

scholarly journals The new better than used failure rate class of life distribution

1988 ◽  
Vol 20 (1) ◽  
pp. 237-240 ◽  
Author(s):  
A. M. Abouammoh ◽  
A. N. Ahmed
Keyword(s):  
Failure Rate ◽  
Life Distribution ◽  
Shock Models ◽  
Rate Class ◽  
Life Distributions ◽  
Dual Class ◽  
New Better Than Used ◽  
Ageing Distribution ◽  
Better Than

A new concept of ageing distribution, namely new better than used in failure rate (NBUFR), is introduced. Different properties of the NBUFR class and its dual class are presented. Its relations to other classes of life distributions are investigated. Finally, NBUFR survival under shock models is discussed.

Shock models with underlying birth process

1975 ◽  
Vol 12 (1) ◽  
pp. 18-28 ◽  
Author(s):  
M. S. A-Hameed ◽  
F. Proschan
Keyword(s):  
Failure Rate ◽  
Life Distribution ◽  
Birth Process ◽  
Increasing Failure Rate ◽  
Shock Models ◽  
Life Distributions ◽  
New Better Than Used ◽  
Better Than

This paper extends results of Esary, Marshall and Proschan (1973) and A-Hameed and Proschan (1973). We consider the life distribution of a device subject to a sequence of shocks occurring randomly in time according to a nonstationary pure birth process: given k shocks have occurred in [0, t], the probability of a shock occurring in (t, t + Δ] is λ kλ (t)Δ + o (Δ). We show that various fundamental classes of life distributions (such as those with increasing failure rate, or those with the ‘new better than used' property, etc.) are obtained under appropriate assumptions on λ k, λ (t), and on the probability of surviving a given number of shocks.

A Bayesian nonparametric testing procedure for paired samples

Biometrics ◽  
2020 ◽  
Vol 76 (4) ◽  
pp. 1133-1146
Author(s):  
Luz Adriana Pereira ◽  
Daniel Taylor‐Rodríguez ◽  
Luis Gutiérrez
Keyword(s):  
Testing Procedure ◽  
Bayesian Nonparametric ◽  
Paired Samples ◽  
Nonparametric Testing

Reliability Analysis of Hydraulic Directional Control Valve Installed in Subsea Control Module

2012 ◽  
Author(s):  
Yuanlong Yue ◽  
Xin Zuo ◽  
Lijun Wang
Keyword(s):  
Failure Rate ◽  
Control Valve ◽  
Pulse Frequency ◽  
Distribution Model ◽  
Gamma Model ◽  
Life Distribution ◽  
Control Module ◽  
Directional Control ◽  
Directional Control Valve ◽  
Pilot Valve

This paper explores hybrid life distribution, instead of constant failure rate, based on the exponent and Gamma model to analyze the reliability of hydraulic directional control valve (HCV). The article shows that HCV reliability has not only to do with the pulse frequency of pilot valve but also to the hydraulic latching time of main valve, the failure rate not to be constant is with respect to the parameters of the hybrid life distribution model. This paper discusses the cold standby and the 1oo2 configuration applied to dual redundant coils, concluding that the latter is priority to the former and can extend the service life of the HCV. A simulation example shows the effectiveness.

Stochastic properties of a cumulative damage threshold crossing model

1999 ◽  
Vol 36 (3) ◽  
pp. 720-732 ◽  
Author(s):  
Nader Ebrahimi
Keyword(s):  
Poisson Process ◽  
Failure Rate ◽  
Stochastic Order ◽  
Sufficient Conditions ◽  
Damage Threshold ◽  
Survival Functions ◽  
Proposed Model ◽  
Threshold Crossing ◽  
Stochastic Properties ◽  
Total Damage

In this paper we describe a model for survival functions. Under this model a system is subject to shocks governed by a Poisson process. Each shock to the system causes a random damage that grows in time. Damages accumulate additively and the system fails if the total damage exceeds a certain capacity or threshold. Various properties of this model are obtained. Sufficient conditions are derived for the failure rate (FR) order and the stochastic order to hold between the random lifetimes of two systems whose failures can be described by our proposed model.

A Test for Bivariate Exponentiality Against Bifra Alternativeo

1987 ◽  
Vol 36 (1-2) ◽  
pp. 79-84 ◽  
Author(s):  
Asit P. Basu ◽  
Mohamed Habibullah
Keyword(s):  
Failure Rate ◽  
Statistical Procedure ◽  
Exponential Distributions ◽  
Life Distribution ◽  
Increasing Failure Rate ◽  
Bivariate Exponential

We present a statistical procedure to test whether a life distribution belongs to a class of bivariate exponential distributions with exponential minimum against the alteroative that it is bivariate increasing failure rate average (BIFRA).

Properties of Classes of Probability Distributions Based on the Concept of Reciprocal Coordinate Subtangent

1989 ◽  
Vol 38 (3-4) ◽  
pp. 169-180 ◽  
Author(s):  
S.P. Mukherjee ◽  
Dilip Roy
Keyword(s):  
Failure Rate ◽  
Probability Distributions ◽  
Life Distribution ◽  
Density Curve ◽  
Special Case

Tho usefulness of rociprocal coordinate subtancent as a measure on the density curve of a life distribution bas been pointed out through teveral results including some characterizations and classifications. Existing non­parametric classifications based on failure rate and avorage failure rate have been related to the nonparametric classifications proposed here. It bas also been sbown tbat a study through reciprocal coordinate subtangent results in more aeneral properties from which properties of extistiog classes can bo obtained as a special case.

Failure distributions of shock models

1980 ◽  
Vol 17 (3) ◽  
pp. 745-752 ◽  
Author(s):  
Gary Gottlieb
Keyword(s):  
Failure Rate ◽  
Sufficient Conditions ◽  
Cumulative Damage ◽  
Shock Model ◽  
Life Distribution ◽  
Increasing Failure Rate ◽  
Shock Models ◽  
Damage Process

A single device shock model is studied. The device is subject to some damage process. Under the assumption that as the cumulative damage increases, the probability that any additional damage will cause failure increases, we find sufficient conditions on the shocking process so that the life distribution will be increasing failure rate.

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