Kin and Nursing Home Lengths of Stay: A Backward Recurrence Time Approach

1993 ◽  
Vol 34 (2) ◽  
pp. 138 ◽  
Author(s):  
Vicki A. Freedman
2004 ◽  
Vol 41 (2) ◽  
pp. 355-367
Author(s):  
Ilya Molchanov ◽  
Vadim Shcherbakov ◽  
Sergei Zuyev

This paper is motivated by the modelling of leaching of bacteria through soil. A semi-linear process Xt− may be used to describe the soil-drying process between rain showers. This is a backward recurrence time process that corresponds to the renewal process of instances of rain. If a bacterium moves according to another process h, then the fact that h(t) stays above Xt− means that the bacterium never hits a dry patch of soil and so survives. We describe a critical behaviour of h that separates the cases when survival is possible with a positive probability from the cases when this probability vanishes. An explicit formula for the survival probability is obtained in case h is linear and rain showers follow a Poisson process.


2021 ◽  
pp. emermed-2020-210192
Author(s):  
Claire Patry ◽  
Anne Perozziello ◽  
Clio Pardineille ◽  
Christiane Aubert ◽  
Pauline de Malglaive ◽  
...  

BackgroundMedical patients are on occasion admitted transiently to surgical wards when more appropriate wards are at capacity, potentially leading to suboptimal care. The aim of this study was to compare 6-month outcomes in older adults diagnosed with medical conditions in the ED then admitted inappropriately to surgical wards (defined as outliers), with outcomes in comparable patients admitted to medical wards (controls).MethodsIn a matched cohort study, 100 consecutive medical outliers from the ED aged 75 years and over were matched according to age, sex and diagnosis to 200 controls. Collected data included number of diagnoses reported in acute care, level of patient illness severity, length of stay, mortality and destination of patients discharged from acute care units (home, rehabilitation facility, nursing home or palliative care facility). An assessment was made of patient vital status and living environment (home, nursing home or hospital) at 6 months post-ED admission.ResultsMean age was 85.6 years. The most common ED diagnoses were gait disorders/falls (18%), neurological disorders (17%) and exhaustion (16%). Outliers displayed lower illness severity levels (0.001) and shorter lengths of stay from ED admission to acute care discharge (p=0.040). Subsequent to acute care, outliers were less commonly discharged home (45% vs 59%) and more commonly discharged to rehabilitation facilities (42% vs 28%). At 6 months post-ED admission, multivariable regression analysis showed that outlier status (OR=0.44 (0.25–0.83); p=0.011) and numbers of diagnoses reported in acute care (OR=0.87 (0.76–0.98); p=0.028) were independently associated with lower probability of living at home.ConclusionOutlying of older patients to surgical wards negatively affects their prospects of living at home at 6 months after hospital admission. Older patients hospitalised via the ED are entitled to appropriate medical care.


2004 ◽  
Vol 41 (02) ◽  
pp. 355-367
Author(s):  
Ilya Molchanov ◽  
Vadim Shcherbakov ◽  
Sergei Zuyev

This paper is motivated by the modelling of leaching of bacteria through soil. A semi-linear process X t − may be used to describe the soil-drying process between rain showers. This is a backward recurrence time process that corresponds to the renewal process of instances of rain. If a bacterium moves according to another process h, then the fact that h(t) stays above X t − means that the bacterium never hits a dry patch of soil and so survives. We describe a critical behaviour of h that separates the cases when survival is possible with a positive probability from the cases when this probability vanishes. An explicit formula for the survival probability is obtained in case h is linear and rain showers follow a Poisson process.


1973 ◽  
Vol 10 (3) ◽  
pp. 678-681 ◽  
Author(s):  
Erhan Çinlar ◽  
Peter Jagers

The Poisson process enjoys two special properties: the mean forward recurrence time at time t does not depend on t, and the mean backward recurrence time at time t is the “mean” of the interval distribution truncated at t. Poisson process is the only renewal process with these properties.


1973 ◽  
Vol 10 (03) ◽  
pp. 678-681 ◽  
Author(s):  
Erhan Çinlar ◽  
Peter Jagers

The Poisson process enjoys two special properties: the mean forward recurrence time at time t does not depend on t, and the mean backward recurrence time at time t is the “mean” of the interval distribution truncated at t. Poisson process is the only renewal process with these properties.


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