Using coxian phase-type distributions to identify patient characteristics for duration of stay in hospital

Health Care Management Science

Volumn 7, Issue 4, 2004, Pages 285-289

  Marshall, Adele H ^a   McClean, Sally I ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b UNIVERSITY OF ULSTER   (United Kingdom)

Author keywords

Coxian phase type distributions; Geriatric medicine; Markov models; Stochastic modelling; Survival analysis

Indexed keywords

CLINICAL PRACTICE; CONFERENCE PAPER; HOSPITAL BED; HOSPITAL MANAGEMENT; HOSPITALIZATION; LENGTH OF STAY; MANAGER; PROBABILITY; RESOURCE ALLOCATION; STATISTICAL DISTRIBUTION; STOCHASTIC MODEL; SURVIVAL; WARD; AGED; ARTICLE; CLASSIFICATION; GERIATRIC NURSING; HOSPITAL BED UTILIZATION; HOSPITAL PATIENT; HUMAN; PROPORTIONAL HAZARDS MODEL; UNITED KINGDOM;

AGED; BED OCCUPANCY; GERIATRIC NURSING; HOSPITAL ADMINISTRATION; HUMANS; INPATIENTS; LENGTH OF STAY; LONDON; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 14844317411     PISSN: 13869620     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10729-004-7537-z     Document Type: Conference Paper

References (19)

1. Population projections for the United Kingdom, Government Actuary's Department, http://www.gad.gov.uk/
2. K. Kinsella and V.A. Velkoff, An Ageing World US Census Bureau, Series P95/01-1, US Government Printing Office, Washington, DC (2001).
3. J. Sorensen, Multi-phased bed modelling, Health Services Management Research 9 (1996) 61-67.
4. M.F. Neuts, Structured Stochastic Matrices of M/G/1 Type and Their Application (Marcel Dekker, New York, 1989).
5. M.J. Faddy, Examples of fitting structured phase-type distributions, Applied Stochastic Models and Data Analysis 10 (1994) 247-255.
6. M.F. Neuts, Matrix-Geometric Solutions in Stochastic Models - An Algorithmic Approach (John Hopkins University Press, 1981).
7. P. Fazekas, S. Imre and M. Telek, Modeling and analysis of broadband cellular networks with multimedia connections, Telecommunications Systems 19 (3-4), (2002) 263-288.
8. M.J. Faddy, On inferring the number of phases in a coxian phase-type distribution, Communications of the Statistician - Stochastic Models 14(1-2) (1998) 407-417.
9. M.J. Faddy and S.I. McClean, Analysing data on lengths of stay of hospital patients using phase-type distributions, Applied Stochastic Models and Data Analysis (2000).
10. D.R. Cox, A use of complex probabilities in the theory of stochastic processes, Proceedings of the Camb. Phil. Soc. 51 (1955) 313-319.
11. D.R. Cox and H.D. Miller, The Theory of Stochastic Processes (Methuen, London, 1965).
12. P.H. Millard, G. Christodoulou and S.I. McClean, Survival in long-term care - discussion document on the interactions and costs between health and social care, submitted to the Royal Commission on Long Term Care, Department of Geriatric Medicine, St George's Hospital Medical School, London (1998) 1-30.
13. A.H. Marshall and S.I. McClean, Conditional phase-type distributions for modelling patient length of stay in hospital, International Transactions in Operational Research 10 (2003) 565-576.
14. A.H. Marshall, S.I. McClean, C.M. Shapcott, I.R Hastie and P.H. Millard, Developing a bayesian belief network for the management of geriatric hospital care, Health Care Management Science Journal 4 (2001) 23-28.
15. J.A. Nelder and R.A Mead, Simplex method for function minimization, Computer Journal 7 (1965) 308-313.
16. MATLAB® Reference Guide, The MathsWorks Inc., Natick, MA (1992).
17. G.W. Harrison, Compartmental Models of Patient Occupancy Patterns, in: Modelling Hospital Resource Use: A Different Approach to the Planning and Control of Health Care Systems, eds. P.H. Millard and S.I. McClean (Royal Society of Medicine Press, 1994).
18. A.H. Marshall, S.I. McClean, C.M. Shapcott and P.H. Millard, Modelling patient duration of stay to facilitate resource management of geriatric hospitals, Health Care Management Science Journal 5 (2002) 313-319.
19. C. Vasilakis and A.H. Marshall, Modelling nationwide hospital length of stay: Opening the black box, Journal of the Operational Research Society Practice Notes (2004).