Model selection and diagnostics for joint modeling of survival and longitudinal data with crossing hazard rate functions

2014 ◽  
Vol 33 (26) ◽  
pp. 4532-4546 ◽  
Author(s):  
Ka Young Park ◽  
Peihua Qiu
Keyword(s):  
Model Selection ◽  
Longitudinal Data ◽  
Hazard Rate ◽  
Joint Modeling ◽  
Rate Functions

scholarly journals Comparison of multiple hazard rate functions

Biometrics ◽  
2015 ◽  
Vol 72 (1) ◽  
pp. 39-45 ◽  
Author(s):  
Zhongxue Chen ◽  
Hanwen Huang ◽  
Peihua Qiu
Keyword(s):  
Hazard Rate ◽  
Rate Functions

scholarly journals Transmuted Mukherjee-Islam Distribution: A Generalization of Mukherjee-Islam Distribution

2017 ◽  
Vol 9 (4) ◽  
pp. 135
Author(s):  
Loai M. A. Al-Zou'bi
Keyword(s):  
Hazard Rate ◽  
Maximum Likelihood Method ◽  
Continuous Distribution ◽  
Quantile Function ◽  
Descriptive Statistics ◽  
Likelihood Method ◽  
Distribution Parameters ◽  
Rate Functions ◽  
Mean Variance ◽  
New Distribution

A new continuous distribution is proposed in this paper. This distribution is a generalization of Mukherjee-Islam distribution using the quadratic rank transmutation map. It is called transmuted Mukherjee-Islam distribution (TMID). We have studied many properties of the new distribution: Reliability and hazard rate functions. The descriptive statistics: mean, variance, skewness, kurtosis are also studied. Maximum likelihood method is used to estimate the distribution parameters. Order statistics and Renyi and Tsallis entropies were also calculated. Furthermore, the quantile function and the median are calculated.

scholarly journals Characteristics of Hazard Rate Functions of Log-Normal Distributions

2019 ◽  
Vol 1338 ◽  
pp. 012036
Author(s):  
D Kurniasari ◽  
R Widyarini ◽  
Warsono ◽  
Y Antonio
Keyword(s):  
Hazard Rate ◽  
Normal Distributions ◽  
Rate Functions ◽  
Log Normal

A robust joint modeling approach for longitudinal data with informative dropouts

2020 ◽  
Vol 35 (4) ◽  
pp. 1759-1783
Author(s):  
Weiping Zhang ◽  
Feiyue Xie ◽  
Jiaxin Tan
Keyword(s):  
Longitudinal Data ◽  
Joint Modeling ◽  
Modeling Approach

scholarly journals Joint modeling of longitudinal data and discrete-time survival outcome

2016 ◽  
Vol 25 (4) ◽  
pp. 1512-1526 ◽  
Author(s):  
Feiyou Qiu ◽  
Catherine M Stein ◽  
Robert C Elston ◽  
Keyword(s):  
Longitudinal Data ◽  
Discrete Time ◽  
Joint Modeling ◽  
Survival Outcome

Dynamic multivariate mean residual life functions

1991 ◽  
Vol 28 (03) ◽  
pp. 613-629 ◽  
Author(s):  
Moshe Shaked ◽  
J. George Shanthikumar
Keyword(s):  
Hazard Rate ◽  
Residual Life ◽  
Stochastic Ordering ◽  
Partial Ordering ◽  
Mean Residual Life ◽  
Positive Dependence ◽  
Basic Properties ◽  
Rate Functions ◽  
Hazard Rate Ordering ◽  
Weak Notion

In this paper we introduce and study a dynamic notion of mean residual life (mrl) functions in the context of multivariate reliability theory. Basic properties of these functions are derived and their relationship to the multivariate conditional hazard rate functions is studied. A partial ordering, called the mrl ordering, of non-negative random vectors is introduced and its basic properties are presented. Its relationship to stochastic ordering and to other related orderings (such as hazard rate ordering) is pointed out. Using this ordering it is possible to introduce a weak notion of positive dependence of random lifetimes. Some properties of this positive dependence notion are given. Finally, using the mrl ordering, a dynamic notion of multivariate DMRL (decreasing mean residual life) is introduced and studied. The relationship of this multivariate DMRL notion to other notions of dynamic multivariate aging is highlighted in this paper.

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