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Keywords
(11)
Exponential Distribution
Failure Rate
Geometric Distribution
Geometric Model
Parameter Estimation
Probability Density Function
Sample Size
Simulation Study
Survival Analysis
Increasing Failure Rate
Maximum Likelihood
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The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart
The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart,10.1016/j.csda.2011.02.018,Computationa
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The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart
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Citations: 2
)
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Francisco LouzadaNeto
,
Mari Roman
,
Vicente G. Cancho
In this paper, we proposed a new twoparameter lifetime distribution with increasing failure rate, the complementary exponential geometric distribution, which is complementary to the exponential
geometric model
proposed by Adamidis and Loukas (1998). The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the maximum lifetime value among all risks. The properties of the proposed distribution are discussed, including a formal proof of its
probability density function
and explicit algebraic formulas for its reliability and
failure rate
functions, moments, including the mean and variance, variation coefficient, and modal value. The
parameter estimation
is based on the usual
maximum likelihood
approach. We report the results of a misspecification
simulation study
performed in order to assess the extent of misspecification errors when testing the exponential
geometric distribution
against our complementary one in the presence of different
sample size
and censoring percentage. The methodology is illustrated on four real datasets; we also make a comparison between both modeling approaches.
Journal:
Computational Statistics & Data Analysis  CS&DA
, vol. 55, no. 8, pp. 25162524, 2011
DOI:
10.1016/j.csda.2011.02.018
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Citation Context
(1)
...
22
proposed the complementary exponential geometric (CEG) distribution, which properly accommodates survival data in the presence of latent complementary risks...
Francisco Louzada
,
et al.
A new longterm lifetime distribution induced by a latent complementar...
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Citations
(2)
A new longterm lifetime distribution induced by a latent complementary risk framework
Francisco Louzada
,
Vicente G. Cancho
,
Mari Roman
,
José G. Leite
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