Stress–strength reliability estimation of a consecutive k-out-of-n system based on proportional hazard rate family

2021 ◽  
pp. 1-32
Author(s):  
Duygu Demiray ◽  
Fatih Kızılaslan
Keyword(s):  
Hazard Rate ◽  
Reliability Estimation ◽  
Proportional Hazard

Railway Passengers Travel Time Research Based on Survival Analysis

2014 ◽  
Vol 962-965 ◽  
pp. 2580-2583
Author(s):  
Ya Chen Zhao ◽  
Zhen Yu Zhang ◽  
Qing Jie Zheng
Keyword(s):  
Survival Analysis ◽  
Travel Time ◽  
Significant Influence ◽  
Hazard Rate ◽  
Family Income ◽  
Proportional Hazard ◽  
Rate Model ◽  
Analysis Method ◽  
Cox Proportional Hazard ◽  
Hazard Rate Model

With the development of the economy, people have higher request for the time. Studying the choice of travel about rail passengers becomes more significant. Due to these problem above and using survival analysis method, this paper builds travel time survival model based on questionnaire and have a whole analysis of the travel time of the rail passenger. Then, it concludes that most of the rail passengers’ travel time is below five hours. At last, this paper builds COX proportional hazard rate model of travel time and study the factors about travel time. The result demonstrates that the factor about whether it is students or not, family income, whether it is travelling and the number of packages has a significant influence on the travel time.

scholarly journals Comparisons of Parallel Systems According to the Convex Transform Order

2009 ◽  
Vol 46 (2) ◽  
pp. 342-352 ◽  
Author(s):  
Subhash Kochar ◽  
Maochao Xu
Keyword(s):  
Hazard Rate ◽  
Parallel Systems ◽  
Sufficient Condition ◽  
Proportional Hazard ◽  
Rate Model ◽  
Hazard Rate Model ◽  
Convex Transform Order ◽  
Right Spread Order ◽  
The Right ◽  
Equivalent Conditions

A parallel system with heterogeneous exponential component lifetimes is shown to be more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. As a consequence, equivalent conditions for comparing the variabilities of the largest order statistics from heterogeneous and homogeneous exponential samples in the sense of the dispersive order and the right-spread order are established. A sufficient condition is also given for the proportional hazard rate model.

scholarly journals Comparisons of Parallel Systems According to the Convex Transform Order

2009 ◽  
Vol 46 (02) ◽  
pp. 342-352 ◽  
Author(s):  
Subhash Kochar ◽  
Maochao Xu
Keyword(s):  
Hazard Rate ◽  
Parallel Systems ◽  
Sufficient Condition ◽  
Proportional Hazard ◽  
Rate Model ◽  
Hazard Rate Model ◽  
Convex Transform Order ◽  
Right Spread Order ◽  
The Right ◽  
Equivalent Conditions

A parallel system with heterogeneous exponential component lifetimes is shown to be more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. As a consequence, equivalent conditions for comparing the variabilities of the largest order statistics from heterogeneous and homogeneous exponential samples in the sense of the dispersive order and the right-spread order are established. A sufficient condition is also given for the proportional hazard rate model.

scholarly journals Parametric Regression Models Using Reversed Hazard Rates

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Asokan Mulayath Variyath ◽  
P. G. Sankaran
Keyword(s):  
Hazard Rate ◽  
Regression Models ◽  
Hazard Rates ◽  
Proportional Hazard ◽  
Survival Times ◽  
Parametric Regression ◽  
Reversed Hazard Rate ◽  
Rate Functions ◽  
The Relationship ◽  
Parametric Regression Models

Proportional hazard regression models are widely used in survival analysis to understand and exploit the relationship between survival time and covariates. For left censored survival times, reversed hazard rate functions are more appropriate. In this paper, we develop a parametric proportional hazard rates model using an inverted Weibull distribution. The estimation and construction of confidence intervals for the parameters are discussed. We assess the performance of the proposed procedure based on a large number of Monte Carlo simulations. We illustrate the proposed method using a real case example.

COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS: IN MEMORY OF MOSHE SHAKED

2017 ◽  
Vol 33 (1) ◽  
pp. 28-49
Author(s):  
Narayanaswamy Balakrishnan ◽  
Jianbin Chen ◽  
Yiying Zhang ◽  
Peng Zhao
Keyword(s):  
Hazard Rate ◽  
Stochastic Order ◽  
Sufficient Conditions ◽  
Hazard Rates ◽  
Proportional Hazard ◽  
Stochastic Comparisons ◽  
Hazard Rate Order ◽  
Numerical Examples ◽  
Reversed Hazard Rate ◽  
Usual Stochastic Order

In this paper, we discuss the ordering properties of sample ranges arising from multiple-outlier exponential and proportional hazard rate (PHR) models. The purpose of this paper is twofold. First, sufficient conditions on the parameter vectors are provided for the reversed hazard rate order and the usual stochastic order between the sample ranges arising from multiple-outlier exponential models with common sample size. Next, stochastic comparisons are separately carried out for sample ranges arising from multiple-outlier exponential and PHR models with different sample sizes as well as different hazard rates. Some numerical examples are also presented to illustrate the results established here.

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