Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
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
Subscribe
Academic
Publications
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
Edit
The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart
(
Citations: 2
)
BibTex

RIS

RefWorks
Download
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
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
www.sciencedirect.com
)
(
www.informatik.unitrier.de
)
(
dx.doi.org
)
More »
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...
References
(16)
How to Identify a Bathtub Hazard Rate
(
Citations: 80
)
Magne Vollan Aarset
Journal:
IEEE Transactions on Reliability  TR
, vol. R36, no. 1, pp. 106108, 1987
Handbook of mathematical functions with formulas, graphs, and mathematical tables
(
Citations: 23944
)
Milton Abramowitz
,
Irene A. Stegun
Journal:
Mathematics of Computation  Math. Comput.
, 1964
A lifetime distribution with decreasing failure rate
(
Citations: 28
)
K. Adamidis
,
S. Loukas
Journal:
Statistics & Probability Letters  STAT PROBAB LETT
, vol. 39, no. 1, pp. 3542, 1998
A generalization of the exponentialPoisson distribution
(
Citations: 11
)
Wagner BarretoSouza
,
Francisco CribariNeto
Journal:
Statistics & Probability Letters  STAT PROBAB LETT
, vol. 79, no. 24, pp. 24932500, 2009
The Weibullgeometric distribution
(
Citations: 13
)
Wagner BarretoSouza
,
Alice Lemos de Morais
,
Gauss M. Cordeiro
Journal:
Journal of Statistical Computation and Simulation  J STAT COMPUT SIM
, vol. 81, no. 5, pp. 645657, 2011
Sort by:
Citations
(2)
A new longterm lifetime distribution induced by a latent complementary risk framework
Francisco Louzada
,
Vicente G. Cancho
,
Mari Roman
,
José G. Leite
Journal:
Journal of Applied Statistics  J APPL STAT
, vol. aheadofp, no. aheadofp, pp. 114, 2012
High speed motor drive development for industrial applications
(
Citations: 13
)
M. Mekhiche
,
J. L. Kirtley
,
M. Tolikas
,
E. Ognibene
,
J. Kiley
,
E. Holmansky
,
F. Nimblett
Conference:
Electric Machines and Drives IEEE International Conference  IEMDC
, 1999