Dynamic proportional hazard rate and reversed hazard rate models

2011 ◽  
Vol 141 (6) ◽  
pp. 2108-2119 ◽  
Author(s):  
Asok K. Nanda ◽  
Suchismita Das
Keyword(s):  
Hazard Rate ◽  
Proportional Hazard ◽  
Reversed Hazard Rate ◽  
Hazard Rate Models

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.

scholarly journals Results on Varextropy Measure of Random Variables

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 356
Author(s):  
Nastaran Marzban Vaselabadi ◽  
Saeid Tahmasebi ◽  
Mohammad Reza Kazemi ◽  
Francesco Buono
Keyword(s):  
Hazard Rate ◽  
Random Variables ◽  
Record Values ◽  
Comparison Method ◽  
Dispersion Measure ◽  
Stochastic Comparison ◽  
Alternative Measure ◽  
Proportional Hazard ◽  
Hazard Rate Models ◽  
Measure Of Uncertainty

In 2015, Lad, Sanfilippo and Agrò proposed an alternative measure of uncertainty dual to the entropy known as extropy. This paper provides some results on a dispersion measure of extropy of random variables which is called varextropy and studies several properties of this concept. Especially, the varextropy measure of residual and past lifetimes, order statistics, record values and proportional hazard rate models are discussed. Moreover, the conditional varextropy is considered and some properties of this measure are studied. Finally, a new stochastic comparison method, named varextropy ordering, is introduced and some of its properties are presented.

scholarly journals Ordering Awad–Varma Entropy and Applications to Some Stochastic Models

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 280
Author(s):  
Răzvan-Cornel Sfetcu ◽  
Sorina-Cezarina Sfetcu ◽  
Vasile Preda
Keyword(s):  
Shannon Entropy ◽  
Stochastic Models ◽  
Hazard Rate ◽  
Stochastic Order ◽  
Record Values ◽  
Residual Entropy ◽  
Proportional Hazard ◽  
Rate Model ◽  
Reversed Hazard Rate ◽  
Hazard Rate Model

We consider a generalization of Awad–Shannon entropy, namely Awad–Varma entropy, introduce a stochastic order on Awad–Varma residual entropy and study some properties of this order, like closure, reversed closure and preservation in some stochastic models (the proportional hazard rate model, the proportional reversed hazard rate model, the proportional odds model and the record values model).

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