A NEW TWO-PARAMETER LIFETIME DISTRIBUTION WITH APPLICATION

Authors

Keywords:

Log-logistic distribution; Hazard function; Maximum likelihood estimation; Simulation.

Abstract

There are several methods to combine and extend the continuous lifetime models to increase their flexibility and generality. Here we proposed a new lifetime distribution model with two parameters. Various lifetime distribution representations related to this model are derived and presented with their properties. Several Statistical measures and their properties are also studied. The method maximum likelihood estimator is discussed. Simulation studies are performed to assess the finite sample performance of the maximum likelihood estimators (MLEs) of the parameters. In the end, to show the flexibility of this distribution, an application using real data sets is presented

Dimensions

Adamids, K. and S. Loukas (1998). A lifetime distribution with decreasing failure rate. Statistics and Probability Letters 79, 35–42.

Ahmad, I. M, Sinclair, C. D., and A. Werritty (1988). Log-logistic odd frequency analysis. Journal of Hydrology 98, 205–255.

Ahmed, A. S. (2005). Estimation of parameters of life from progressively censored data using burr-xii model. IEEE TRANSACTION ON RELIBILITY 54, 159–167.

Anderson, P. K. and N. Keiding (1993). Statistical Models Based on Counting Process. New York: Springer-Verlag.

Ashkar, F. and S. Mahdi (2006). Fitting the log-logistic distribution by generalized moments. Journal of Hydrology 328, 694–703.

Brazauskas., V. (2002). Fisher information matrix for the feller-pareto distribution. Statistics and Probability Letters 59, 159–167.

Collett, D. (2003). Modeling survival data in medical research. London: Chapman and Hall.

Mahmoudi, E. A. A. J. (2011). Generalized exponential-power series distribution. Journal of Computational Statistics and Data Analysis.

Eugene, N., C.Lee, and F.Famoye (2002). Beta-normal distributions and its application. Communications in Statistics - Theory and Methods 31, 23–35.

Louzada, F. M. Roman, V. C. (2011). The complementary exponential geometric distribution: Model, properties and comparison with its counterpart. Computational Statistics and Data Analysis 55, 2516–2524.27.

Glaser, R. E. (1980). Bathtub and related failure rate characterization. Journal of American Statistical Association 75, 667–672.

Hosmer, D. and S. Lemeshow (1999). Applied Survival Analysis. New York: Wiley Inter Science.

Klein J. P and M. L. Moeschberger (2003). Survival Analysis. New York: Springer.

Kus, C. (2007). A new lifetime distribution. Computational Statistics and Data Analysis 51, 4497–4509.

Mahmoudi, M. T. (2011). Generalized inverse weibull-poisson distribution and its application. Journal of Statistical Computation and Simulation.

Marshall, A. W. and I. Olkin (1997). A new method for adding a parameter to a family of distributions with application to the exponential and weibull families. Biometrika 97,641–652.

Morais, A.L., B.-S. W. (2011). A compound class of weibull and power series distributions. Computational Statistics Data Analysis 55, 1410–1425.

Rosaiah .K, Kantami, R. R. L. and C. Kumar (2006). Reliability test plans for exponentiated log-logistic distribution. Economics Quality Control 21, 279–289.

Singh, K. P. Bartolucci., A. A. and B. S.L. (1994). Two-step procedure for survival data. Biometric-praximetrie 34, 1–12.

Singh, K. P. (1989). A generalized log-logistic regression model for survival analysis: hazard function rate characteristics. Biometric-praximetrie 29, 63–74.

Tadikamalla, P. R. (1980). A look at the burr and related distribution. International Statistic Review 48, 337–344.

Tahmasbi, R. and S. Rezaei (2008). A two-parameter lifetime distribution with decreasingfailure rate. Computational Statistics and Data Analysis 52, 3889–3901.

Cancho, V. G. Louzada-Neto, F. G. B. (2011). The poisson exponential lifetime distribution. Computational Statistics and Data Analysis 55, 677–686.28.

Barreto, W. et al. (2009). A generalization of exponential-poisson distribution. Statistics and Probability Letter 79, 2493–2500.

Wenhao Gui, (2013). Extended log-logistic distribution and its application in minification processes. Applied Mathematical Science 7, 3947–3961.29.

Published

14-04-2020

How to Cite

A NEW TWO-PARAMETER LIFETIME DISTRIBUTION WITH APPLICATION. (2020). FUDMA JOURNAL OF SCIENCES, 4(1), 577-584. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/83

Issue

Vol. 4 No. 1 (2020): FUDMA Journal of Sciences - Vol. 4 No. 1

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

A NEW TWO-PARAMETER LIFETIME DISTRIBUTION WITH APPLICATION. (2020). FUDMA JOURNAL OF SCIENCES, 4(1), 577-584. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/83