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Stress-Strength and Ageing Intensity Analysis via a New Bivariate Negative Gompertz-Makeham Model

Hossein-Ali Mohtashami Borzadaran, Hadi Jabbari, Mohammad Amini, Ali Dolati, Department of Statistics, Ordered Data, Reliability and Dependency Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran, Department of Statistics, Ordered Data, Reliability and Dependency Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran, Department of Statistics, Ordered Data, Reliability and Dependency Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran, Department of Statistics, Ordered Data, Reliability and Dependency Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran
2021 Journal of the Iranian Statistical Society  
Here, a bivariate class of Gompertz-Makeham distribution is constructed based on random number of extremal events.  ...  In Demography and modelling mortality (or failure) data the univariate Makeham-Gompertz is well-known for its extension of exponential distribution.  ...  Acknowledgement The authors would like to thank the anonymous refrees, whose comments and suggestions improved the presentation of the paper.  ... 
doi:10.52547/jirss.20.1.219 fatcat:xcmeh4xx7jazpecy6kaqc5cuiy

Correlated individual frailty: An advantageous approach to survival analysis of bivariate data

Anatoli I. Yashin, James W. Vaupel, Ivan A. Iachine
1995 Mathematical Population Studies  
We empirically demonstrate the advantages of the model in the statistical analysis of bivariate data.  ...  Frailty models have been developed for the analysis of bivariate survival data.  ...  S(x), and a\ and p z characterize bivariate life span distribution.  ... 
doi:10.1080/08898489509525394 pmid:12290053 fatcat:m63ejaemnffereh2gpwawggn5q

Construction of Reducible Stochastic Differential Equation Systems for Tree Height–Diameter Connections

Martynas Narmontas, Petras Rupšys, Edmundas Petrauskas
2020 Mathematics  
This study proposes a general bivariate stochastic differential equation model of population growth which includes random forces governing the dynamics of the bivariate distribution of size variables.  ...  The dynamics of the bivariate probability density function of the size variables in a population are described by the mixed-effect parameters Vasicek, Gompertz, Bertalanffy, and the gamma-type bivariate  ...  The solution of the Vasicek-type SDE (4) has a bivariate normal distribution, ( ( ); ( )), and the Gompertz-type, von Bertalanffy-type, and gamma-type SDEs Table 1 .  ... 
doi:10.3390/math8081363 fatcat:wfkxg43mwrba5glvp7f7zsgaxa

The correlated and shared gamma frailty model for bivariate current status data: An illustration for cross-sectional serological data

N. Hens, A. Wienke, M. Aerts, G. Molenberghs
2009 Statistics in Medicine  
In this paper, we study the behavior of the bivariate-correlated gamma frailty model for type I interval-censored data, better known as current status data.  ...  Whereas the shared frailty model is widely applied, the correlated frailty model has gained attention because it elevates the restriction of unobserved factors to act similar within clusters.  ...  the IAP research network nr P6/03 of the Belgian Government (Belgian Science Policy).  ... 
doi:10.1002/sim.3660 pmid:19591117 fatcat:flnej2cxrbbetixmi7un345voy

A bivariate survival model with compound Poisson frailty

A. Wienke, S. Ripatti, J. Palmgren, A. Yashin
2009 Statistics in Medicine  
A correlated frailty model is suggested for analysis of bivariate time-to-event data.  ...  It is based on a bivariate extension of the compound Poisson frailty model in univariate survival analysis (Ann. Appl. Probab. 1992; 4:951-972).  ...  Wienke was supported by a grant of the German Ministry for Education and Research (NBL3-programme, 01ZZ0404) and a grant of the German Research Council (DFG WI 3288/1-1).  ... 
doi:10.1002/sim.3749 pmid:19856276 pmcid:PMC4362709 fatcat:5uucncy2s5hf3pj3ueb2phigjy

Maximum likelihood estimation in the odd generalized exponential-exponential distribution

Amani Abdullah Al-Salafi, Samia Abbas Adham
2018 International Journal of Contemporary Mathematical Sciences  
A comprehensive study of the cumulative distribution function, probability density function, survival and hazard function of the new distribution are presented.  ...  Moreover, the maximum likelihood estimation of the parameters of the OGE-E(ϴ) distribution is considered for both simulated and real data sets.  ...  time obtained the generating function of the Fréchet distribution and proposed characterizations of the family.  ... 
doi:10.12988/ijcms.2018.8411 fatcat:p4jxqo5gnfe3vdqt6l3pg2tzhq

CopulaCenR: Copula based Regression Models for Bivariate Censored Data in R

Tao Sun, Ying Ding
2020 The R Journal  
The copula model is a popular approach for modeling correlated bivariate censored data, in which the two marginal distributions and the betweenmargin dependence are modeled separately.  ...  Bivariate time-to-event data frequently arise in research areas such as clinical trials and epidemiological studies, where the occurrence of two events are correlated.  ...  Acknowledgments The Authors are grateful to Dr. Wei Chen for providing valuable suggestions about package development and the AREDS data analysis.  ... 
doi:10.32614/rj-2020-025 fatcat:q4qo5mtlcng7ncpfusba23bmde

The Modelling of a Cure Fraction in Bivariate Time-to-Event Data

Andreas Wienke, Isabella Locatelli, Anatoli I. Yashin
2016 Austrian Journal of Statistics  
<p align="LEFT">Three correlated frailty models are used to analyze bivariate timeto- event data by assuming gamma, log-normal and compound Poisson distributed frailty.  ...  of the twin partners.  ...  Wienke was supported by a grant of the Bundesministerium für Bildung und Forschung (NBL3-programme, 01ZZ0404).  ... 
doi:10.17713/ajs.v35i1.349 fatcat:v42ggnkemrbqvcpl5vc3fbgms4

Page 4552 of Mathematical Reviews Vol. , Issue 2003f [page]

2003 Mathematical Reviews  
This article completes the P-admissibility characterization of a class of # prior density functions for the parameter p in the geo- metric distribution.  ...  Using Ji) as the sequence of states visited at the beginning of cycles, the paper derives bivariate probability generating matrix functions for (y@, yl g&l) and (¥%!, 7%).  ... 

Optimal Recruitment Policy for Manpower Planning Using Equilibrium Distribution

2018 Journal of Ultra Scientist of Physical Sciences Section A  
It may be noted that the demand distribution satisfies the so called Lack of Memory Property (LMP).  ...  In manpower planning, one of the most important variables is duration until a specified event occurs.  ...  ) and Gumbel (1960), Bivariate Gompertz and Bivariate Pareto models.  ... 
doi:10.22147/jusps-a/300302 fatcat:rc3l5hk73zhslens5k47jdykgi

Fitting inhomogeneous phase-type distributions to data: the univariate and the multivariate case [article]

Hansjoerg Albrecher, Mogens Bladt, Jorge Yslas
2020 arXiv   pre-print
Like PH distributions, the class of IPH is dense in the class of distributions on the positive halfline, but leads to more parsimonious models in the presence of heavy tails.  ...  class of multivariate distributions.  ...  Lauritzen for some important clarifications concerning the EM algorithm. We would like to thank two anonymous reviewers and the editor for the careful reading and constructive remarks.  ... 
arXiv:2006.13003v2 fatcat:haw2wfkrwfaejm2pmuglgcwi7q

Critical Bottleneck Size for Jamless Particle Flows in Two Dimensions

Takumi Masuda, Katsuhiro Nishinari, Andreas Schadschneider
2014 Physical Review Letters  
The dependence of the jamming probability on the system size is approximated by the Gompertz function. The analytical results are in good agreement with simulations.  ...  The model reproduces oscillation phenomena due to formation and collapsing of arches. It predicts the existence of a critical bottleneck size for continuous particle flows.  ...  The avalanche size distribution is exponential and the jamming probability is well approximated by the Gompertz function.  ... 
doi:10.1103/physrevlett.112.138701 pmid:24745464 fatcat:j3jbskub2vdt7gxnjr4vzdxjuy

The Heritability of Breast Cancer: A Bayesian Correlated Frailty Model Applied to Swedish Twins Data

Isabella Locatelli, Paul Lichtenstein, Anatoli I. Yashin
2004 Twin research  
The authors also which to thank the Max Planck Institute for Demographic Research of Rostock (Germany) for the opportunity to use its technical facilities during work on this paper.  ...  Acknowledgments The authors wish to acknowledge Andreas Wienke and Konstantin Arbeev for useful discussions.  ...  Hence, the study dealt with the following distribution of the vector of frailties: (11) with logN denoting the bivariate log-normal distribution.  ... 
doi:10.1375/twin.7.2.182 fatcat:zurhtinlwffhfdrr3g5gn7tvbq

Modeling extreme values for height distributions in Pinus pinaster, Pinus radiata and Eucalyptus globulus stands in northwestern Spain

JJ Gorgoso-Varela, JD García-Villabrille, A Rojo-Alboreca
2016 iForest : Biogeosciences and Forestry  
, the bivariate beta (GDB-2) distribution, the bivariate Logit-Logistic (LL-2) distribution and the power-normal (PN) distribution.  ...  Methods of estimating extreme height values can be used in forest modeling to improve fits to the marginal distribution of heights in the following bivariate diameter-height models: the SBB Johnson's distribution  ...  Acknowledgements The authors thank forestry students from the Universities of Oviedo and Santiago de Compostela who participated in the fieldwork.  ... 
doi:10.3832/ifor1447-008 fatcat:ysi7sddfsnhm5c52wdngyusoye

Probabilistic Forecasting Using Stochastic Diffusion Models, With Applications to Cohort Processes of Marriage and Fertility

Mikko Myrskylä, Joshua R. Goldstein
2012 Demography  
For prediction variance we develop a Monte Carlo estimator which can be used for a wide class of underlying linear processes.  ...  We study prediction and error propagation in the Hernes, Gompertz, and logistic stochastic diffusion models and use them to forecast demographic cohort processes.  ...  We wish to credit Ron Lee, who first suggested to JRG that the Hernes diffusion models be fit using a time-series, stochastic diffusion approach.  ... 
doi:10.1007/s13524-012-0154-4 pmid:23104205 fatcat:mofqlvwobbf3lanf4vdanwy2gy
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