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scSurv: a deep generative model for single-cell survival analysis. [PDF]
Mizukoshi C +5 more
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A Class of Distributions with Quadratic Hazard Quantile Function
Journal of the Indian Society for Probability and Statistics, 2020The present paper introduces a class of distributions with quadratic hazard quantile function. We study various distributional properties and reliability characteristics of the proposed model. The proposed class of distributions aims to represent the non-monotone behaviours of hazard quantile function.
I. C. Aswin, P. G. Sankaran, S. M. Sunoj
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A new family of decreasing density and hazard quantile functions for modeling time-to-event data
International Journal of Modeling, Simulation, and Scientific Computing, 2022In this paper, a convenient and parsimonious family of the quantile functions is proposed for modeling time-to-event data. Detailed mathematical arguments are presented for deriving the explicit expressions of the quantile density, quantile hazard and quantile mean remaining life functions. Their functional properties are also explored.
Komal Shekhawat, Vikas Kumar Sharma
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On bilinear hazard quantile functions
METRON, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sankaran, P. G. +2 more
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Proportional hazards model with quantile functions
Communications in Statistics - Theory and Methods, 2018ABSTRACTProportional Hazards Model (PHM) introduced by Cox (1972) is extensively studied in literature. In this paper, we study reliability properties of the PHM using quantile functions. Some special properties of the quantile function, which are not shared by distribution function are explored to study various properties of the PHM. We discuss ageing
N. Unnikrishnan Nair +2 more
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Nonparametric estimation of hazard quantile function
Journal of Nonparametric Statistics, 2009In this paper, we study the estimation of the hazard quantile function based on right censored data.
P. G. Sankaran, N. Unnikrishnan Nair
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A Class of Distributions with Linear Hazard Quantile Function
Communications in Statistics - Theory and Methods, 2014In this article, we introduce and study a class of distributions that has linear hazard quantile function. Various distributional properties and reliability characteristics of the class are studied. Some characterizations of the class of distributions are presented.
N.N. Midhu +2 more
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Some Properties of Proportional Reversed Hazards Model Based on Quantile Functions
International Journal of Reliability, Quality and Safety Engineering, 2019In this paper, we study some reliability aspects of proportional reversed hazards model (PRHM) using quantile functions and derive certain characteristic properties. A quantile-based relevation transform for past lifetime random variable is introduced.
N. Unnikrishnan Nair +2 more
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Confidence regions for the quantile function in the Cox proportional hazards model
Journal of Nonparametric Statistics, 2006Let F(t|x) be the distribution function of the life time of a unit with covariate x in the Cox proportional hazard model. Let ξ(p, x) be the pth quantile of F(·|x). We consider the problem of constructing confidence bands/regions for ξ (·,·). We develop the asymptotic theory for the proposed bands.
Fahimah Al-Awadhi, Emad-Eldin A. A. Aly
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