fitmixEM {fitmix} | R Documentation |
Fits lifespan data of time units with gompertz, log-logistics, log-normal, and weibull mixture models choice of one.
Description
Fits lifespan data of time units with gompertz, log-logistics, log-normal, and weibull mixture models choice of one.
Usage
fitmixEM(lifespan, model, K, initial = FALSE, starts)
Arguments
lifespan |
numeric vector of lifespan dataset |
model |
model name of the one of the well-known model: |
K |
number of well-known model components. |
initial |
logical true or false |
starts |
numeric if initial sets to true |
Details
Estimates parameters of the given mixture model implementing the expectation maximization (EM) algorithm.
General form for the cdf of a statistical mixture model is given by
a distribution f is a mixture of K component
distributions of
f = (f_1, f_2,..f_K)
if
f(x) = \sum_{k=1}^{K}\lambda_k f_k(x)
with
\lambda_k > 0
, \sum_k \lambda_k = 1
. This equation is a stochastic model, thus
it allows to generate new data points; first picks a distribution of choice, with
probablities by weight, then generates another observation according to the chosen distribution.
In short represenated by,
Z ~
Mult(\lambda_1, \lambda_2,...\lambda_k)
and
X|Z ~ f_Z
, where Z
is a discrete random variable which component X is drawn from.
The families considered for the cdf of Gompertz, Log-normal, Log-logistic, and Weibull.
Value
1.The return has three values; the first value is estimate, measures, and cluster.
2. The second value includes four different measurements of goodness-of-fit tests involving:
Akaike Information Criterion (AIC)
, Bayesian Information Criterion (BIC)
, Kolmogorov-Smirnov (KS)
, and log-likelihood (log.likelihood)
statistics.
3. The last value is the output of clustering vector.
References
Farewell, V. (1982). The Use of Mixture Models for the Analysis of Survival Data with Long-Term Survivors. Biometrics, 38(4), 1041-1046. doi:10.2307/2529885 McLachlan, G. J. and Peel, D. (2000) Finite Mixture Models, John Wiley \& Sons, Inc.
Essam K. Al-Hussaini, Gannat R. Al-Dayian & Samia A. Adham (2000) On finite mixture of two-component gompertz lifetime model, Journal of Statistical Computation and Simulation, 67:1, 20-67, DOI: 10.1080/00949650008812033
Examples
lifespan<-sample(1000)
fitmixEM(lifespan, "weibull", K = 2, initial = FALSE)