Semi-Markov Models for Lifetime Data Analysis

Rafael Pérez-Ocón, Juan Eloy Ruiz-Castro and M. Luz Gámiz-Pérez
Additional contact information
Rafael Pérez-Ocón: Universidad de Granada
Juan Eloy Ruiz-Castro: Universidad de Granada
M. Luz Gámiz-Pérez: Universidad de Granada

Chapter Chapter 14 in Semi-Markov Models and Applications, 1999, pp 229-238 from Springer

Abstract: Abstract A semi-Markov model is applied to a data set of items that change stages over time. Two data sets are considered, in medical studies and in reliability: survival to breast cancer and the lifetime of optical fibres. The lifetimes of the subjects or items are considered, distribution functions are fitted to the staying times, and it is shown that the Weibull and log-normal distributions play an important role in these times. Covariates are incorporated to the model via the probability density functions of the staying times in the medical data set. The likelihood function is built and the parameters estimated. The transition probability functions and the survived functions for different risk groups are estimated from these values. A comparison with the empirical survival functions is made. Original computational programmes have been performed with MATLAB to estimate the transition probability functions, the survival functions, and the graphs of these functions.

Keywords: Semi-Markov process; Likelihood function; MATLAB programme; Survived function (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-3288-6_14

Ordering information: This item can be ordered from
http://www.springer.com/9781461332886

DOI: 10.1007/978-1-4613-3288-6_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().