Competing risks regression with dependent multiple spells: Monte Carlo evidence and an application to maternity leave

Lipowski, Cäcilia; Lo, Simon M. S.; Shi, Shuolin; Wilke, Ralf A.

doi:10.1007/s42081-021-00110-6

Cited by 7 publications

(4 citation statements)

References 29 publications

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“…The events can be the appearance of tumor lesions and the onset/recurrence of diseases [5], progression of tumor [9], kidney failure [22], migraine [23], cognitive impairment [24], and others. The event could also be a good event, such as remission [5], return to work [25], marital pregnancy [26], and others. In addition, when individuals are mechanical devices, the occurrence of failure is considered an event [14].…”

Section: Definition Of Survival Timementioning

confidence: 99%

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Parametric Distributions for Survival and Reliability Analyses, a Review and Historical Sketch

et al. 2022

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During its 330 years of history, parametric distributions have been useful for survival and reliability analyses. In this paper, we comprehensively review the historical backgrounds and statistical properties of a number of parametric distributions used in survival and reliability analyses. We provide encyclopedic coverage of the important parametric distributions, which is more extensive than the existing textbooks on survival and reliability analyses. We also explain how these distributions have been adopted in survival and reliability analyses with original and state-of-the-art references. We cover the exponential, Weibull, Rayleigh, lognormal, log-logistic, gamma, generalized gamma, Pareto (types I, II, and IV), Hjorth, Burr (types III and XII), Dagum, exponential power, Gompertz, Birnbaum-Saunders, exponential-logarithmic, piecewise exponential, generalized exponential, exponentiated Weibull, generalized modified Weibull, and spline distributions. We analyze a real dataset for illustration.

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Section: Definition Of Survival Timementioning

confidence: 99%

“…< a m , and m is the number of pieces. The piecewise exponential distribution has been successfully adapted for modeling event times for biological, medical, environmental, and econometric studies [25,[47][48][49][50][51].…”

Section: Exponential Distribution and Its Variantsmentioning

confidence: 99%

Parametric Distributions for Survival and Reliability Analyses, a Review and Historical Sketch

et al. 2022

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“…• Clinical trial and sample size (Bakoyannis et al, 2021;Hu et al, 2021;Zhang & Jeong, 2021) • Computational method (de Freitas Costa et al, 2021;Huang et al, 2020;Kawakami et al, 2021;Mitra et al, 2021;Ota & Kimura, 2021) • Competing risk (Bakoyannis et al, 2021;Ha & Lee, 2021;Lipowski et al, 2021; Zhang & Jeong, 2021) • Copula (Huang et al, 2020;Lipowski et al, 2021;Ota & Kimura, 2021;Wang & Emura, 2021) • Counting or Poisson process (Dörre, 2021;Su & Lin, 2020) • Dependence modeling (Kim & Lee, 2021;Ota & Kimura, 2021; 2021) • Dynamic prediction (Kawakami et al, 2021;Mitra et al, 2021) • Ecological application (de Freitas Costa et al, 2021) • Econometric application (Dörre, 2021;Hsu et al, 2021;Lipowski et al, 2021) • Flexible parametric model (Lipowski et al, 2021;MacKenzie et al, 2021) • Frailty and random-effects models (Ha & Lee, 2021;Kawakami et al, 2021;MacKenzie et al, 2021;Wang & Emura, 2021;Zhang & Jeong, 2021) • Interval censoring (Hsu et al, 2021;Kim & Lee, 2021) • Joint frailty-copula model (Huang et al, 2020;Kawakami et al, 2021;Wang & Emura, 2021) • Left-truncation or double-truncation (Dörre, 2021;…”

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confidence: 99%

“…Readers interested in copula-based Markov models are referred to the book of Sun et al (2020). Lipowski et al (2021) revisit the competing risks model of Lo et al (2020). This is a nested model involving two copulas: one for the dependence of risks, and the other for the dependence among spells (time periods).…”

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confidence: 99%